Ronald H. W. Hoppe
A space-time adaptive discontinuous Galerkin method for the numerical solution of the dynamic quasi-static von Kármán equations
Computers & Mathematics with Applications 132, 32-47 (2023)
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Ronald H. W. Hoppe
An adaptive C0 interior penalty discontinuous Galerkin method and an equilibrated a posteriori error estimator for the von Kármán equations
Applied Numerical Mathematics 190, 27-49 (2023)
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Ronald H. W. Hoppe
A C0 interior penalty discontinuous galerkin method and an equilibrated a posteriori error estimator for a nonlinear fourth order elliptic boundary value problem of p-biharmonic type
ESAIM: Mathematical Modelling and Numerical Analysis 56, 2051-2079 (2022)
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Ronald H. W. Hoppe, B. Pahari and J. J. Winkle
Space–time adaptive splitting scheme for the numerical simulation of polycrystallization
Journal of Computational and Applied Mathematics 404, 113882 (2022)
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Ronald H. W. Hoppe and Youri Iliash
An equilibrated a posteriori error estimator for an Interior Penalty Discontinuous Galerkin approximation of the p-Laplace problem
Russian Journal of Numerical Analysis and Mathematical Modelling 36, 313-336 (2021)
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Ronald H. W. Hoppe, Basanta R. Pahari and James J. Winkle
Numerical simulation of the formation of spherulites in polycrystalline binary mixtures
Applied Numerical Mathematics 166, 61-75 (2021)
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Ronald H. W. Hoppe
On Poincaré-Friedrichs type inequalities for the Broken Sobolev Space ${\rm W}^{2,1}$
Numerical Mathematics: Theory, Methods and Applications 14, 31-46 (2021)
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Chandi Bhandari, Ronald H. W. Hoppe and Rahul Kumar
A C0 interior penalty discontinuous Galerkin Method for fourth‐order total variation flow, II: Existence and uniqueness
Numerical Methods for Partial Differential Equations 35, 1477-1496 (2019)
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Chandi Bhandari, Ronald H. W. Hoppe and Rahul Kumar
A C0 interior penalty discontinuous Galerkin method for fourth‐order total variation flow, I: Derivation of the method and numerical results
Numerical Methods for Partial Differential Equations 35, 1458-1476 (2019)
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Ronald H. W. Hoppe and James J. Winkle
A splitting scheme for the numerical solution of the KWC System
Numerical Mathematics: Theory, Methods and Applications 12, 661-680 (2019)
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Ronald H. W. Hoppe and James J. Winkle
Numerical solution of a phase field model for polycrystallization processes in binary mixtures
Computing and Visualization in Science 20, 13-27 (2019)
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Dietrich Braess, Ronald H. W. Hoppe and Christopher Linsenmann
A two-energies principle for the biharmonic equation and an a posteriori error estimator for an interior penalty discontinuous Galerkin approximation
ESAIM: Mathematical Modelling and Numerical Analysis 52, 2479-2504 (2018)
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Oleg Boyarkin, Stefan Burger, Thomas Franke, Thomas Fraunholz, Ronald H. W. Hoppe, Simon Kirschler, Kevin Lindner, Malte A. Peter, Florian G. Strobl and Achim Wixforth
Transport at interfaces in lipid membranes and enantiomer separation
in: Transport Processes at Fluidic Interfaces, ed. by Dieter Bothe and Arnold Reusken, (Advances in Mathematical Fluid Mechanics (AMFM)) 489-530 (Birkh?user: Basel, 2017)
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Ronald H. W. Hoppe, Jun Hu, Malte A. Peter, Rolf Rannacher, Zhongci Shi and Xuejun Xu
Chinese–German computational and applied mathematics
Computational Methods in Applied Mathematics 16, 605-608 (2016)
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Thomas Fraunholz, Ronald H. W. Hoppe and Malte A. Peter
Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the biharmonic problem
Journal of Numerical Mathematics 23, 317-330 (2015)
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Stefan Burger, Thomas Franke, Thomas Fraunholz, Ronald H. W. Hoppe, Malte A. Peter and Achim Wixforth
Numerical simulation of surface acoustic wave actuated separation of rigid enantiomers by the fictitious domain Lagrange multiplier method
Computational Methods in Applied Mathematics 15, 247-258 (2015)
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Ronald H. W. Hoppe and Irwin Yousept
Adaptive edge element approximation of H(curl)-elliptic optimal control problems with control constraints
BIT Numerical Mathematics 55, 255-277 (2014)
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A. Gaevskaya, M. Hintermüller, Ronald H. W. Hoppe and C. L?bhard
Adaptive finite elements for optimally controlled elliptic variational inequalities of obstacle type
in: Optimization with PDE constraints: ESF networking program 'OPTPDE', ed. by Ronald H. W. Hoppe, (Lecture Notes in Computational Science and Engineering ; 101) 95-150 (Springer International Publishing: Cham, 2014)
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D. Braess, T. Fraunholz and Ronald H. W. Hoppe
An equilibrated a posteriori error estimator for the interior penalty discontinuous Galerkin method
SIAM Journal on Numerical Analysis 52, 2121-2136 (2014)
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M. Hintermüller, Ronald H. W. Hoppe and C. L?bhard
Dual-weighted goal-oriented adaptive finite elements for optimal control of elliptic variational inequalities
ESAIM: Control, Optimisation and Calculus of Variations 20, 524-546 (2014)
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Thomas Franke, Ronald H. W. Hoppe, Christopher Linsenmann, Lothar Schmid and Achim Wixforth
Optimal control of surface acoustic wave actuated sorting of biological cells
in: Trends in PDE Constrained Optimization, ed. by Günter Leugering, Peter Benner, Sebastian Engell, Andreas Griewank, Helmut Harbrecht, Michael Hinze, Rolf Rannacher and Stefan Ulbrich, (International Series of Numerical Mathematics ; 165) 505-519 (Springer: Cham, 2014)
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Ronald H. W. Hoppe (ed.)
Optimization with PDE constraints: ESF networking program 'OPTPDE'
(Lecture Notes in Computational Science and Engineering ; 101) (Springer International Publishing: Cham, 2014)
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Ronald H. W. Hoppe and Z. Liu
Snapshot location by error equilibration in proper orthogonal decomposition for linear and semilinear parabolic partial differential equations
Journal of Numerical Mathematics 22, 1-32 (2014)
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Ronald H. W. Hoppe and Irwin Yousept
Adaptive Edge Element Approximation of H(curl)-Elliptic Optimal Control Problems with Control Constraints
preprint (2013)
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Alexandra Gaevskaya, Michael Hintermüller and Ronald H. W. Hoppe
Adaptive Finite Elements for Optimally Controlled Elliptic Variational Inequalities of Obstacle Type
preprint (2013)
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Dietrich Braess, Thomas Fraunholz and Ronald H. W. Hoppe
An Equilibrated a Posteriori Error Estimator for the Interior Penalty Discontinuous Galerkin Method
preprint (2013)
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Stefan Burger, Thomas Fraunholz, Christian T. Leirer, Ronald H. W. Hoppe, Achim Wixforth, Malte A. Peter and Thomas Franke
Comparative study of the dynamics of lipid membrane phase decomposition in experiment and simulation
Langmuir 29, 7565-7570 (2013)
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Nasser H. Sweilam, Tamer M. Al-Ajmi and Ronald H. W. Hoppe
Numerical Solution of Some Types of Fractional Optimal Control Problems
preprint (2013)
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Nasser H. Sweilam, Tamer Mostafa Al-Ajami and Ronald H. W. Hoppe
Numerical Solution of Some Types of Fractional Optimal Control Problems
The Scientific World Journal 2013, 306237 (2013)
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Thomas Franke, Ronald H. W. Hoppe, Christopher Linsenmann and Kidist Zeleke
Numerical simulation of surface acoustic wave actuated cell sorting
Central European Journal of Mathematics 11, 760-778 (2013)
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Oleg Boyarkin and Ronald H. W. Hoppe
Optimal Control of Inductive Heating of Ferromagnetic Materials
preprint (2013)
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Thomas Franke, Ronald H. W. Hoppe, Christopher Linsenmann, Lothar Schmid and Achim Wixforth
Optimal Control of Surface Acoustic Wave Actuated Sorting of Biological Cells
preprint (2013)
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O. Boyarkin and Ronald H. W. Hoppe
Optimal control of inductive heating of ferromagnetic materials
Russian Journal of Numerical Analysis and Mathematical Modelling 28, 519-546 (2013)
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Xuejun Xu, Huangxin Chen and Ronald H. W. Hoppe
Optimality of local multilevel methods for adaptive nonconforming P1 finite element methods
Journal of Computational Mathematics 31, 22-46 (2013)
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Ronald H. W. Hoppe and Zhiheng Liu
Snapshot Location by Error Equilibration in Proper Orthogonal Decomposition for Linear and Semilinear Parabolic Partial Differential Equations
preprint (2013)
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Ronald H. W. Hoppe and Christopher Linsenmann
The finite element immersed boundary method for the numerical simulation of the motion of red blood cells in microfluidic flows
in: Numerical methods for differential equations, optimization, and technological problems: dedicated to Professor P. Neittaanm?ki on his 60th birthday, ed. by Sergey Repin, Timo Tiihonen and Tero Tuovinen, (Computational Methods in Applied Sciences ; 27) 3-17 (Springer: Dordrecht, 2013)
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Michael Hintermüller, Ronald H. W. Hoppe and Caroline L?bhard
A Dual-Weighted Residual Approach to Goal-Oriented Adaptivity for Optimal Control of Elliptic Variational Inequalities
preprint (2012)
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C. Carstensen, M. Eigel, Ronald H. W. Hoppe and C. L?bhard
A review of unified a posteriori finite element error control
Numerical Mathematics: Theory, Methods and Applications 5, 509-558 (2012)
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Ronald H. W. Hoppe and Christopher Linsenmann
An adaptive Newton continuation strategy for the fully implicit finite element immersed boundary method
Journal of Computational Physics 231, 4676-4693 (2012)
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Stefan Burger, Thomas Fraunholz, Christian T. Leirer, Ronald H. W. Hoppe, Achim Wixforth, Malte A. Peter and Thomas Franke
Comparative Study of the Dynamics of Lipid Membrane Phase Decomposition in Experiment and Simulation
preprint (2012)
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Thomas Fraunholz, Ronald H. W. Hoppe and Malte A. Peter
Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method for the Biharmonic Problem
preprint (2012)
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Ronald H. W. Hoppe and N. Sharma
Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the Helmholtz equation
IMA Journal of Numerical Analysis 33, 898-921 (2012)
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Local multigrid on adaptively refined meshes and multilevel preconditioning with applications
in: Efficient preconditioned solution methods for elliptic partial differential equations, ed. by Ronald H. W. Hoppe, Xuejun Xu and Huangxin Chen, 123-144 (Bentham Science: Sharjah, U.A.E, 2012)
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H. Antil, Ronald H. W. Hoppe, Christopher Linsenmann and Achim Wixforth
Multiscale and multiphysics aspects in modeling and simulation of surface acoustic wave driven microfluidic biochips
in: Coupled Fluid Flow in Energy, Biology and Environmental Research, ed. by Matthias Ehrhardt, (Progress in Computational Physics ; 2) 104-130 (Bentham Science: Oak Park, IL, 2012)
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Thomas Franke, Ronald H. W. Hoppe, Christopher Linsenmann and Kidist Zeleke
Numerical Simulation of Surface Acoustic Wave Actuated Cell Sorting
preprint (2012)
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Ronald H. W. Hoppe, Christopher Linsenmann and Kidist Zeleke
Numerical Simulation of Surface Acoustic Wave Actuated Enantiomer Separation by the Finite Element Immersed Boundary Method
preprint (2012)
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Harbir Antil, Matthias Heinkenschloss, Ronald H. W. Hoppe, Christopher Linsenmann and Achim Wixforth
Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips
Mathematics and Computers in Simulation 82, 1986-2003 (2012)
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Huangxin Chen, Ronald H. W. Hoppe and Xuejun Xu
Uniform convergence of local multigrid methods for the time-harmonic Maxwell equation
ESAIM: Mathematical Modelling and Numerical Analysis 47, 125-147 (2012)
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M. Hintermuller, Michael Hinze and Ronald H. W. Hoppe
Weak-duality based adaptive finite element methods for PDE-constrained optimization with pointwise gradient STATE-constraints
Journal of Computational Mathematics 30, 101-123 (2012)
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C. Carstensen, Ronald H. W. Hoppe, N. Sharma and T. Warburton
Adaptive hybridized Interior Penalty Discontinuous Galerkin methods for H(curl)-elliptic problems
Numerical Mathematics: Theory, Methods and Applications 4, 13-37 (2011)
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Ronald H. W. Hoppe and Christopher Linsenmann
An Adaptive Newton Continuation Strategy for the Fully Implicit Finite Element Immersed Boundary Method
preprint (2011)
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Ronald H. W. Hoppe and Natasha S. Sharma
Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method for the Helmholtz Equation
preprint (2011)
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H. Antil, M. Heinkenschloss and Ronald H. W. Hoppe
Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system
Optimization Methods and Software 26, 643-669 (2011)
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Ronald H. W. Hoppe and William G. Litvinov
Modeling, simulation and optimization of electrorheological fluids
in: Handbook of Numerical Analysis, (Numerical Methods for Non-Newtonian Fluids ; 16) 719-793 (Elsevier: Amsterdam [u.a.], 2011)
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Thomas Franke, Ronald H. W. Hoppe, Christopher Linsenmann, Lothar Schmid, Carina Willbold and Achim Wixforth
Numerical simulation of the motion of red blood cells and vesicles in microfluidic flows
Computing and Visualization in Science 14, 167-180 (2011)
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Ronald H. W. Hoppe and Tobias Lipp
Optimal Control of European Double Barrier Basket Options
preprint (2011)
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Ronald H. W. Hoppe and T. Lipp
Optimal control of European double barrier basket options
Journal of Numerical Mathematics 19, 113-136 (2011)
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Thomas Franke, Ronald H. W. Hoppe, Christopher Linsenmann and Achim Wixforth
Projection based model reduction for optimal design of the time-dependent stokes system
in: Constrained optimization and optimal control for partial differential equations, ed. by Günter Leugering, Sebastian Engell, Andreas Griewank, Michael Hinze, Rolf Rannacher, Volker Schulz, Michael Ulbrich and Stefan Ulbrich, (International Series of Numerical Mathematics ; 160) 75-98 (Springer: Basel, 2011)
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Huangxin Chen, Ronald H. W. Hoppe and Xuejun Xu
Uniform Convergence of Local Multigrid Methods for the Time-harmonic Maxwell Equation
preprint (2011)
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Carsten Carstensen, Martin Eigel, Caroline L?bhard and Ronald H. W. Hoppe
A Review of Unified A Posteriori Finite Element Error Control
preprint (2010)
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Carsten Carstensen, Ronald H. W. Hoppe, Natasha S. Sharma and Tim Warburton
Adaptive Hybridized Interior Penalty Discontinuous Galerkin Methods for H(curl)-Elliptic Problems
preprint (2010)
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Ronald H. W. Hoppe, H. Wu and Z. Zhang
Adaptive finite element methods for the Laplace eigenvalue problem
Journal of Numerical Mathematics 18, 281-302 (2010)
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Huangxin Chen, Xuejun Xu and Ronald H. W. Hoppe
Convergence and quasi-optimality of adaptive nonconforming finite element methods for some nonsymmetric and indefinite problems
Numerische Mathematik 116, 383-419 (2010)
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Robert Azencott, Roland Glowinski, Jiwen He, Ronald H. W. Hoppe, Aarti Jajoo, Yipeng Li, Andrey Martynenko, Sagit Benzekry, Stephen H. Little and William A. Zoghbi
Diffeomorphic Matching and Dynamic Deformable Surfaces in 3D Medical Imaging
preprint (2010)
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R. Azencott, Roland Glowinski, J. He, A. Jajoo, Y. Li, A. Martynenko, Ronald H. W. Hoppe, S. Benzekry and S.H. Little
Diffeomorphic matching and dynamic deformable surfaces in 3D medical imaging
Computational Methods in Applied Mathematics 10, 235-274 (2010)
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Harbir Antil, Matthias Heinkenschloss, Ronald H. W. Hoppe and Danny C. Sorensen
Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables
Computing and Visualization in Science 13, 249-264 (2010)
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Michael Hintermüller and Ronald H. W. Hoppe
Goal-oriented adaptivity in pointwise state constrained optimal control of partial differential equations
SIAM Journal on Control and Optimization 48, 5468-5487 (2010)
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Ronald H. W. Hoppe, Xuejun Xu and Huangxin Chen
Local multigrid on adaptively refined meshes and multilevel preconditioning with applications to problems in electromagnetism and acoustics
preprint (2010)
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Harbir Antil, Roland Glowinski, Ronald H. W. Hoppe, Christopher Linsenmann, Tsorng-Whay Pan and Achim Wixforth
Modeling, simulation, and optimization of surface acoustic wave driven microfluidic biochips
Journal of Computational Mathematics 28, 149-169 (2010)
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Ronald H. W. Hoppe and S.I. Petrova
Multi-scale method for the crack problem in microstructural materials
Computational Methods in Applied Mathematics 10, 69-86 (2010)
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Harbir Antil, Ronald H. W. Hoppe, Christopher Linsenmann and Achim Wixforth
Multiscale and Multiphysics Aspects in Modeling and Simulation of Surface Acoustic Wave Driven Microfluidic Biochips
preprint (2010)
PDF | BibTeX | RIS

Thomas Franke, Ronald H. W. Hoppe, Christopher Linsenmann, Lothar Schmid, Carina Willbold and Achim Wixforth
Numerical Simulation of the Motion and Deformation of Red Blood Cells and Vesicles in Microfluidic Flows
preprint (2010)
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Robert Azencott, Roland Glowinski, Jiwen He, Ronald H. W. Hoppe, Aarti Jajoo, Yipeng Li, Andrey Martynenko, Sagit Benzekry, Stuart H. Little and William A. Zoghbi
Optimal Diffeomorphic Matching in Biomedical Image Processing
preprint (2010)
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X. Xu, H. Chen and Ronald H. W. Hoppe
Optimality of local multilevel methods on adaptively refined meshes for elliptic boundary value problems
Journal of Numerical Mathematics 18, 59-90 (2010)
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Thomas Franke, Ronald H. W. Hoppe, Christopher Linsenmann and Achim Wixforth
Projection Based Model Reduction for Optimal Design of the Time-Dependent Stokes System
preprint (2010)
PDF | BibTeX | RIS

Michael Hintermüller, Michael Hinze and Ronald H. W. Hoppe
Weak-duality based adaptive finite element methods for PDE-constrained optimization with pointwise gradient state-constraints
preprint (2010)
PDF | BibTeX | RIS

Ronald H. W. Hoppe, Johannes Neher and Natasha S. Sharma
A Posteriori Error Analysis of Hybridized Mixed Finite Element Methods for Second Order Elliptic Boundary Value Problems
preprint (2009)
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Ronald H. W. Hoppe and Michael Kieweg
A posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems
Journal of Numerical Mathematics 17, 219-244 (2009)
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Harbir Antil, Ronald H. W. Hoppe and Christopher Linsenmann
Adaptive multilevel interior-point methods in PDE constrained optimization
in: Domain decomposition methods in science and engineering XVIII, ed. by Ulrich Langer, Marco Discacciati, David E. Keyes, Olof B. Widlund and Walter Zulehner, (Lecture Notes in Computational Science and Engineering ; 60) 15-26 (Springer: Berlin [u.a.], 2009)
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Ronald H. W. Hoppe and J. Sch?berl
Convergence of adaptive edge element methods for the 3D eddy currents equations
Journal of Computational Mathematics 27, 657-676 (2009)
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Harbir Antil, Matthias Heinkenschloss and Ronald H. W. Hoppe
Domain Decomposition and Balanced Truncation Model Reduction for Shape Optimization of the Stokes System
preprint (2009)
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Harbir Antil, Matthias Heinkenschloss, Ronald H. W. Hoppe and Danny C. Sorensen
Domain Decomposition and Model Reduction for the Numerical Solution of PDE Constrained Optimization Problems with Localized Optimization Variables
preprint (2009)
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Dietrich Braess, Carsten Carstensen and Ronald H. W. Hoppe
Error reduction in adaptive finite element approximations of elliptic obstacle problems
Journal of Computational Mathematics 27, 148-169 (2009)
BibTeX | RIS

Michael Hintermüller and Ronald H. W. Hoppe
Goal oriented mesh adaptivity for mixed control-state constrained elliptic optimal control problems
in: Applied and Numerical Partial Differential Equations, (Computational Methods in Applied Sciences ; 15) 97-111 (Springer: Dordrecht, 2009)
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Michael Hintermüller and Ronald H. W. Hoppe
Goal-oriented adaptivity in pointwise state constrained optimal control of partial differential equations
preprint (2009)
PDF | BibTeX | RIS

Xuejun Xu, Huangxin Chen and Ronald H. W. Hoppe
Local multilevel methods for adaptive nonconforming finite element methods
preprint (2009)
PDF | BibTeX | RIS

Harbir Antil, Roland Glowinski, Ronald H. W. Hoppe, Christopher Linsenmann, Tsorng-Whay Pan and Achim Wixforth
Modeling, simulation, and optimization of surface acoustic wave driven microfluidic biochips
preprint (2009)
PDF | BibTeX | RIS

Ronald H. W. Hoppe and Svetozara I. Petrova
Multi-scale method for the crack problem in microstructural materials
preprint (2009)
PDF | BibTeX | RIS

Xuejun Xu, Huangxin Chen and Ronald H. W. Hoppe
Optimality of local multilevel methods on adaptively refined meshes for elliptic boundary value problems
preprint (2009)
PDF | BibTeX | RIS

Ronald H. W. Hoppe and Svetozara I. Petrova
Path-following methods for shape optimal design of periodic microstructural materials
Optimization Methods and Software 24, 205-218 (2009)
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Harbir Antil, Matthias Heinkenschloss, Ronald H. W. Hoppe, Christopher Linsenmann and Achim Wixforth
Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips
preprint (2009)
PDF | BibTeX | RIS

Carsten Carstensen and Ronald H. W. Hoppe
Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems
preprint (2009)
PDF | BibTeX | RIS

C. Carstensen and Ronald H. W. Hoppe
Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems
Journal of Numerical Mathematics 17, 27-44 (2009)
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Dietrich Braess, Ronald H. W. Hoppe and Joachim Sch?berl
A Posteriori Estimators for Obstacle Problems by the Hypercircle Method
preprint (2008)
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Dietrich Braess, Ronald H. W. Hoppe and Joachim Sch?berl
A posteriori estimators for obstacle problems by the hypercircle method
Computing and Visualization in Science 11, 351-362 (2008)
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Harbir Antil, Ronald H. W. Hoppe and Christopher Linsenmann
Adaptive Multilevel Interior-Point Methods in PDE Constrained Optimization
preprint (2008)
PDF | BibTeX | RIS

Michael Hintermüller and Ronald H. W. Hoppe
Adaptive finite element methods for control constrained distributed and boundary optimal control problems
preprint (2008)
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Ronald H. W. Hoppe and Michael Kieweg
Adaptive finite element methods for mixed control-state constrained optimal control problems for elliptic boundary value problems
Computational Optimization and Applications 46, 511-533 (2008)
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Ronald H. W. Hoppe, Christopher Linsenmann and Harbir Antil
Adaptive path following primal dual interior point methods for shape optimization of linear and nonlinear stokes flow problems
in: Large-scale scientific computing: 6th International Conference, LSSC 2007, Sozopol, Bulgaria, June 5-9, 2007, ed. by Ivan Lirkov, Svetozar Margenov and Jerzy Wa?niewski, (Lecture Notes in Computer Science ; 4818) 259-266 (Springer: Berlin [u.a.], 2008)
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Michael Hintermüller, Ronald H. W. Hoppe, Yuri Iliash and Michael Kieweg
An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints
ESAIM: Control, Optimisation and Calculus of Variations 14, 540-560 (2008)
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Ronald H. W. Hoppe, Haijun Wu and Zhimin Zhang
Convergence analysis of adaptive finite element approximations of the Laplace eigenvalue problem
preprint (2008)
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Huangxin Chen, Xuejun Xu and Ronald H. W. Hoppe
Convergence and optimality of adaptive nonconforming finite element methods for nonsymmetric and indefinite problems
preprint (2008)
PDF | BibTeX | RIS

Dietrich Braess, Carsten Carstensen and Ronald H. W. Hoppe
Error Reduction in Adaptive Finite Element Approximations of Elliptic Obstacle Problems
preprint (2008)
PDF | BibTeX | RIS

Michael Hintermüller and Ronald H. W. Hoppe
Goal Oriented Mesh Adaptivity for Mixed Control-State Constrained Elliptic Optimal Control Problems
preprint (2008)
PDF | BibTeX | RIS

M. Hintermüller and Ronald H. W. Hoppe
Goal-oriented adaptivity in control constrained optimal control of partial differential equations
SIAM Journal on Control and Optimization 47, 1721-1743 (2008)
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Harbir Antil, Andreas Gantner, Ronald H. W. Hoppe, Daniel K?ster, Kunibert Siebert and Achim Wixforth
Modeling and simulation of piezoelectrically agitated acoustic streaming on microfluidic biochips
in: Domain decomposition methods in science and engineering XVII, ed. by Ulrich Langer, Marco Discacciati, David E. Keyes, Olof B. Widlund and Walter Zulehner, (Lecture Notes in Computational Science and Engineering ; 60) 305-312 (Springer: Berlin, 2008)
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Ronald H. W. Hoppe and William G. Litvinov
Modeling, Simulation and Optimization of Electrorheological Fluids
preprint (2008)
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H. Antil, Ronald H. W. Hoppe and Christopher Linsenmann
Optimal design of stationary flow problems by path-following interior-point methods
Control and Cybernetics 37, 771-796 (2008)
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Ronald H. W. Hoppe and Svetozara I. Petrova
Shape optimal design of periodic microstructural materials
preprint (2008)
PDF | BibTeX | RIS

Ronald H. W. Hoppe and Michael Kieweg
A posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems
preprint (2007)
PDF | BibTeX | RIS

Ronald H. W. Hoppe and Michael Kieweg
Adaptive finite element methods for mixed control-state constrained optimal control problems for elliptic boundary value problems
preprint (2007)
PDF | BibTeX | RIS

Ronald H. W. Hoppe, Christopher Linsenmann and Harbir Antil
Adaptive path-following primal dual interior point methods for shape optimization of linear and nonlinear Stokes flow problems
preprint (2007)
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Ronald H. W. Hoppe and Svetozara I. Petrova
Adaptive refinement techniques in homogenization design method
Lecture Notes in Pure and Applied Mathematics 252, 349-362 (2007)
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Chanh-Dinh Nguyen and Ronald H. W. Hoppe
Amorphous surface growth via a level set approach
Nonlinear Analysis: theory, methods and applications 66, 704-722 (2007)
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Michael Hintermüller, Ronald H. W. Hoppe, Yuri Iliash and Michael Kieweg
An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints
preprint (2007)
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Ronald H. W. Hoppe and Svetozara I. Petrova
Combined mesh superposition method and homogenization approach for a crack problem in periodic composites
preprint (2007)
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Ronald H. W. Hoppe, Paulo Porta and Yuri V. Vassilevski
Computational issues related to iterative coupling of subsurface and channel flows
Calcolo 44, 1-20 (2007)
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Lizenz: CC-BY-NC 2.0

Ronald H. W. Hoppe, Guido Kanschat and Tim Warburton
Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method
preprint (2007)
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Dietrich Braess, Carsten Carstensen and Ronald H. W. Hoppe
Convergence analysis of a conforming adaptive finite element method for an obstacle problem
preprint (2007)
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Dietrich Braess, Carsten Carstensen and Ronald H. W. Hoppe
Convergence analysis of a conforming adaptive finite element method for an obstacle problem
Numerische Mathematik 107, 455-471 (2007)
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Ronald H. W. Hoppe and Carsten Carstensen
Convergence analysis of adaptive mixed and nonconforming finite element methods
in: Proceedings of The Fourth International Workshop on Scientific Computing and Applications, ed. by Benyu Guo and Zhongci Shi, 38-49 (Science Press: Peking, 2007)
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A. Gaevskaya, Yuri Iliash, Michael Kieweg and Ronald H. W. Hoppe
Convergence analysis of an adaptive finite element method for distributed control problems with control constraints
in: Control of Coupled Partial Differential Equations, ed. by Karl Kunisch, Jürgen Sprekels, Günter Leugering and Fredi Tr?ltzsch, (International Series of Numerical Mathematics ; 155) 47-68 (Birkh?user: Basel, 2007)
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Ronald H. W. Hoppe and Joachim Sch?berl
Convergence of adaptive edge element methods for the 3D eddy currents equations
preprint (2007)
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Ronald H. W. Hoppe and Svetozara I. Petrova
Elasto-plasticity model in structural optimization of composite materials with periodic microstructures
Mathematics and Computers in Simulation 74, 468-480 (2007)
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Alexandra Gaevskaya, Ronald H. W. Hoppe and Sergey I. Repin
Functional approach to a posteriori error estimation for elliptic optimal control problems with distributed control
preprint (2007)
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A. Gaevskaya, Ronald H. W. Hoppe and S. Repin
Functional approach to a posteriori error estimation for elliptic optimal control problems with distributed control
Journal of Mathematical Sciences 144, 4535-4547 (2007)
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Michael Hintermüller and Ronald H. W. Hoppe
Goal-oriented adaptivity in control constrained optimal control of partial differential equations
preprint (2007)
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Stephane Bordas, Ronald H. W. Hoppe and Svetozara I. Petrova
Mechanical failure in microstructural heterogeneous materials
preprint (2007)
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Stéphane Bordas, Ronald H. W. Hoppe and Svetozara I. Petrova
Mechanical failure in microstructural heterogeneous materials
in: Numerical methods and applications: 6th International Conference, NMA 2006, Borovets, Bulgaria, August 20-24, 2006, ed. by Todor Boyanov, Stefka Dimova, Krassimir Georgiev and Geno Nikolov, (Lecture Notes in Computer Science ; 4310) 533-541 (Springer: Berlin, 2007)
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William G. Litvinov, Talal Rahman and Ronald H. W. Hoppe
Model of an electro-rheological shock absorber and coupled problem for partial and ordinary differential equations with variable unknown domain
preprint (2007)
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W. G. Litvinov, T. Rahman and Ronald H. W. Hoppe
Model of an electro-rheological shock absorber and coupled problem for partial and ordinary differential equations with variable unknown domain
European Journal of Applied Mathematics 18, 513-536 (2007)
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Harbir Antil, Andreas Gantner, Ronald H. W. Hoppe, Daniel K?ster, Kunibert G. Siebert and Achim Wixforth
Modeling and simulation of piezoelectrically agitated acoustic streaming on microfluidic biochips
preprint (2007)
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Fritz J. II. Foss, Roland Glowinski and Ronald H. W. Hoppe
On the numerical solution of a semilinear elliptic eigenproblem of Lane-Emden type, (I): Problem formulation and description of the algorithms
preprint (2007)
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Fritz J. II. Foss, Roland Glowinski and Ronald H. W. Hoppe
On the numerical solution of a semilinear elliptic eigenproblem of Lane-Emden type, (II): Numerical experiments
preprint (2007)
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F. J. Foss, Roland Glowinski and Ronald H. W. Hoppe
On the numerical solution of a semilinear elliptic eigenproblem of Lane–Emden type, I: problem formulation and description of the algorithms
Journal of Numerical Mathematics 15, 181-208 (2007)
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F. J. Foss, Roland Glowinski and Ronald H. W. Hoppe
On the numerical solution of a semilinear elliptic eigenproblem of Lane–Emden type, II: numerical experiments
Journal of Numerical Mathematics 15, (2007)
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Ronald H. W. Hoppe and Svetozara I. Petrova
On the return mapping algorithms in structural optimization of biomorphic ceramics
preprint (2007)
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Harbir Antil, Ronald H. W. Hoppe and Christopher Linsenmann
Optimal design of stationary flow problems by path-following interior-point methods
preprint (2007)
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Harbir Antil, Ronald H. W. Hoppe and Christopher Linsenmann
Path-following primal-dual interior-point methods for shape optimization of stationary flow problems
preprint (2007)
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H. Antil, Ronald H. W. Hoppe and Christopher Linsenmann
Path-following primal-dual interior-point methods for shape optimization of stationary flow problems
Journal of Numerical Mathematics 15, 81-100 (2007)
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Roland W. Freund and Ronald H. W. Hoppe
Stoer/Bulirsch: Numerische Mathematik 1
(Springer-Lehrbuch) (Springer: Berlin, 2007)
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Alexandra Gaevskaya, Ronald H. W. Hoppe and Sergey I. Repin
A Posteriori Estimates for Cost Functionals of Optimal Control Problems
in: Numerical mathematics and advanced applications: proceedings of ENUMATH 2005, the 6th European Conference on Numerical Mathematics and Advanced Applications, Santiago de Compostela, Spain, July 2005, ed. by Alfredo Bermúdez de Castro, Dolores Gómez, Peregrina Quintela and Pilar Salgado, 308-316 (Springer: Berlin [u.a.], 2006)
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A. Gaevskaya, Ronald H. W. Hoppe, Yuri Iliash and Michael Kieweg
A posteriori error analysis of control constrained distributed and boundary control problems
in: Proceedings of the Conference on Advances in Scientific Computing, Moscow, Russia, ed. by W. Fitzgibbon, 85-108 (Russian Academy of Sciences: Moscow, 2006)
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Ronald H. W. Hoppe, Yuri Iliash, C. Iyyunni and Nasser H. Sweilam
A posteriori error estimates for adaptive finite element discretizations of boundary control problems
Journal of Numerical Mathematics 14, 57-82 (2006)
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Alexandra Gaevskaya, Ronald H. W. Hoppe and Sergey I. Repin
A posteriori estimates for optimal control problems with control constraints
Oberwolfach Reports 3, 606-608 (2006)
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Carsten Carstensen and Ronald H. W. Hoppe
Convergence analysis of an adaptive nonconforming finite element method
Numerische Mathematik 103, 251-266 (2006)
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Ronald H. W. Hoppe and Svetozara I. Petrova
Efficient Solvers for 3-D Homogenized Elasticity Model
Lecture Notes in Computer Science 3732, 857-863 (2006)
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7th International Workshop, PARA 2004, Lyngby, Denmark, June 20-23, 2004; Revised Selected Papers

Carsten Carstensen and Ronald H. W. Hoppe
Error reduction and convergence for an adaptive mixed finite element method
Mathematics of Computation 75, 1033-1042 (2006)
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Ronald H. W. Hoppe, M. Y. Kuzmin, William G. Litvinov and V. G. Zvyagin
Flow of electrorheological fluid under conditions of slip on the boundary
Abstract and Applied Analysis 2006, 1-14 (2006)
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Ronald H. W. Hoppe, M. Y. Kuzmin, William G. Litvinov and V. G. Zvyagin
Flow of electrorheological fluid under conditions of slip on the boundary
Abstract and Applied Analysis 2006, 43560 (2006)
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Andreas Gantner, Ronald H. W. Hoppe, Daniel K?ster, Kunibert Siebert and Achim Wixforth
Numerical simulation of piezoelectrically agitated surface acoustic waves on microfluidic biochips
Computing and Visualization in Science 10, 145-161 (2006)
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Ronald H. W. Hoppe, Christopher Linsenmann and Svetozara I. Petrova
Primal-dual Newton Methods in Structural Optimization
Computing and Visualization in Science 9, 71-87 (2006)
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Ronald H. W. Hoppe and Svetozara I. Petrova
Shape Optimization of Biomorphic Ceramics with Microstructures by Homogenization Modeling
in: Analysis, Modeling and Simulation of Multiscale Problems, ed. by Alexander Mielke, 395-424 (Springer: Berlin [u.a.], 2006)
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Ronald H. W. Hoppe and Svetozara I. Petrova
A posteriori adaptive meshes for shape optimization of TiC-ceramics
Hellenic European Research on Mathematics and Informatics Science: HERMIS - an International Journal of Computer Mathematics and its Applications 5, 109-124 (2005)
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Ronald H. W. Hoppe
Adaptive mortar edge element method in electromagnetic field computation
in: Recent advances in adaptive computation: proceedings of the International Conference on Recent Advances in Adaptive Computation, Hangzhou, China, May 24-28, 2004, Zhejiang University, Hangzhou, China, ed. by Zhongci Shi, (Contemporary mathematics ; 383) 63-111 (American Math. Soc.: Providence, RI, 2005)
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Talal Rahman, Xuejun Xu and Ronald H. W. Hoppe
Additive Schwarz methods for the Crouzeix-Raviart mortar finite element for elliptic problems with discontinuous coefficients
Numerische Mathematik 101, 551-572 (2005)
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Carsten Carstensen and Ronald H. W. Hoppe
Convergence analysis of an adaptive edge finite element method for the 2D eddy current equations
Journal of Numerical Mathematics 13, 19-32 (2005)
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Ronald H. W. Hoppe and William G. Litvinov
Coupled problems on stationary non-isothermal flow of electrorheological fluids
Communications on Pure and Applied Analysis 4, 779-803 (2005)
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Ronald H. W. Hoppe, Yuri Iliash, Siegfried Ramminger and Gerhard Wachutka
Domain decomposition methods in electrothermomechanical coupling problems
Lecture Notes in Computational Science and Engineering 40, 387-394 (2005)
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Ralf Kornhuber, Ronald H. W. Hoppe, Jacques Périaux, Olivier Pironneau, Olof Widlund and Jinchao Xu (eds.)
Domain decomposition methods in science and engineering
(Lecture Notes in Computational Science and Engineering ; 40) (Springer: Berlin [u.a.], 2005)
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Andreas Gantner, Ronald H. W. Hoppe, Daniel K?ster, Kunibert G. Siebert and Achim Wixforth
Numerical Simulation of Piezoelectrically Agitated Surface Acoustic Waves on Microfluidic Biochips
preprint (2005)
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Talal Rahman, Xuejun Xu and Ronald H. W. Hoppe
On an Additive Schwarz Preconditioner for the Crouzeix-Raviart Mortar Finite Element
Lecture Notes in Computational Science and Engineering 40, 335-342 (2005)
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Xuejun Xu and Ronald H. W. Hoppe
On the Convergence of Mortar Edge Element Methods in R^3
SIAM Journal on Numerical Analysis 43, 1276-1294 (2005)
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Ronald H. W. Hoppe and Svetozara I. Petrova
On the return mapping algorithms in structural optimization of biomorphic ceramics
Proceedings of the 6th World Congress on Structural and Multidisciplinary Optimization (WCSMO6): Rio de Janeiro, Brazil, May 29-June 3, 2005 , (2005)
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xxvi, 153 pages + CD-ROM

Ronald H. W. Hoppe, William G. Litvinov and Talal Rahman
Problems of Stationary Flow of Electrorheological Fluids in a Cylindrical Coordinate System
SIAM Journal on Applied Mathematics 65, 1633-1656 (2005)
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Ronald H. W. Hoppe and Svetozara I. Petrova
A posteriori adaptive meshes for shape optimization of TiC-ceramics
in: Hellenic-European research on computer mathematics and its applications: HERCMA 2003; proceedings of the Sixth Hellenic-European Conference on Computer Mathematics and its Applications, September 25 - 27, 2003, Athens, Hellas, ed. by Elias A. Lipitakis, 501-508 (LEA: Athens, Hellas, 2004)
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Ronald H. W. Hoppe, Svetozara I. Petrova and Yuri V. Vassilevski
Adaptive Grid Refinement for Computation of the Homogenized Elasticity Tensor
Lecture Notes in Computer Science 2907, 371-378 (2004)
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4th International Conference, LSSC 2003, Sozopol, Bulgaria, June 4-8, 2003; Revised Papers

Ronald H. W. Hoppe
Adaptive multigrid and domain decomposition methods in the computation of electromagnetic fields
Journal of Computational and Applied Mathematics 168, 245-254 (2004)
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Ronald H. W. Hoppe and Svetozara I. Petrova
Homogenization design method for biomorphic composite materials
Journal of Computational Methods in Sciences and Engineering 4, 87-96 (2004)
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Special Issue: Computational and Mathematical Methods for Science and Engineering Conference 2002 – CMMSE-2002. Also published in Simos, T. et al. (eds.): Proceedings of CMMSE, September 20-25, 2002, Alicante, Spain, pp. 179-188, Alicante, 2003

Ronald H. W. Hoppe, Ralf Kladny, Svetozara I. Petrova and Heino Sieber
Modeling, Simulation, and Optimization of Microstructured Biomorphic Materials
in: Functional Micro- and Nanosystems: Proceedings of the 4th caesarium, Bonn, June 16–18, 2003, ed. by Karl-Heinz Hoffmann, 35-54 (Springer: Berlin [u.a.], 2004)
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Ronald H. W. Hoppe and Eva Nash
Numerical Solution of a Nonlinear Evolution Equation Describing Amorphous Surface Growth of Thin Films
in: Numerical mathematics and advanced applications: proceedings of ENUMATH 2003, the 5th European Conference on Numerical Mathematics and Advanced Applications, Prague, August 2003, 440-448 (Springer: Berlin [u.a.], 2004)
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Ronald H. W. Hoppe and Svetozara I. Petrova
Optimal shape design in biomimetics based on homogenization and adaptivity
Mathematics and Computers in Simulation 65, 257-272 (2004)
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Ronald H. W. Hoppe and Svetozara I. Petrova
Primal–dual Newton interior point methods in shape and topology optimization
Numerical Linear Algebra with Applications 11, 413-429 (2004)
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William G. Litvinov and Ronald H. W. Hoppe
Problems on electrorheological fluid flows
Communications on Pure and Applied Analysis 3, 809-848 (2004)
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Ronald H. W. Hoppe
Adaptive domain decomposition techniques in electromagnetic field computation and electrothermomechanical coupling problems
in: Numerical mathematics and advanced applications: proceedings of ENUMATH 2001, the 4th European Conference on Numerical Mathematics and Advanced Applications, Ischia, July 2001, ed. by Franco Brezzi, Annalisa Buffa, Stefania Corsaro and Almerico Murli, 201-218 (Springer: Milano [u.a.], 2003)
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Ronald H. W. Hoppe and Svetozara I. Petrova
Applications of Primal-dual Interior Methods in Structural Optimization
Computational Methods in Applied Mathematics 3, 159-176 (2003)
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Ronald H. W. Hoppe and William G. Litvinov
Coupled problem on non-isothermal flow of electrorheological fluid
in: Bioinformatics: from sequence analysis to molecular structure; proceedings of 6th Congress of the Italian Society for Applied and Industrial Mathematics, SIMAI2002, Chia Laguna (Sardinia), Italy, May 27-31, 2002, 27-31 (Oxford University Press: Oxford, 2003)
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Ronald H. W. Hoppe and Svetozara I. Petrova
Homogenized elasticity solvers for biomorphic microcellular ceramics
in: Numerical mathematics and advanced applications: proceedings of ENUMATH 2001, the 4th European Conference on Numerical Mathematics and Advanced Applications, Ischia, July 2001, ed. by Franco Brezzi, Annalisa Buffa, Stefania Corsaro and Almerico Murli, 371-380 (Springer: Milano [u.a.], 2003)
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Ronald H. W. Hoppe, William G. Litvinov and Talal Rahman
Mathematical modeling and numerical simulation of electrorheological devices and systems
in: Numerical methods for scientific computing: variational problems and applications, ed. by E. Heikkola, Yuri A. Kuznetsov, Pekka Neittaanm?ki and Olivier Pironneau, 80-93 (International Center for Numerical Methods in Engineering (CIMNE): Barcelona, 2003)
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Ronald H. W. Hoppe, W.G. Litvinov and T. Rahman
Mathematical modeling and numerical simulation of electrorheological devices and systems
in: Numerical methods for scientific computing: variational problems and applications, ed. by E. Heikkola, Y. Kuznetsov, P. Neittaanm?ki and O. Pironneau, 80-93 (Centro Internacional de Métodos Numéricos en Ingeniería: Barcelona, 2003)
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Ronald H. W. Hoppe, William G. Litvinov and Talal Rahman
Modelling and computation of axially symmetric flows of electrorheological fluids
in: Proceedings of the International Conference of Computational Methods in Sciences and Engineering 2003 (ICCMSE 2003): Kastoria, Greece, September 12-16, ed. by Theodore E. Simos, 236-241 (World Scientific: River Edge, N.J., 2003)
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Gustavo J. Sibona, Sascha Schreiber, Ronald H. W. Hoppe, Bernd Stritzker and Adrian Revnic
Numerical simulation of the production processes of layered materials
Materials Science in Semiconductor Processing 6, 71-76 (2003)
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Ronald H. W. Hoppe, William G. Litvinov and Stefan J. Linz
On Solutions of Certain Classes of Evolution Equations for Surface Morphologies
Nonlinear phenomena in complex systems 6, 582-591 (2003)
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Ronald H. W. Hoppe, Peter B?hm, George Mazurkevitch, Svetozara I. Petrova, Gerhard Wachutka and Eckhard Wolfgang
Optimal Design of High Power Electronic Devices by Topology Optimization
in: Mathematics – Key Technology for the Future: Joint Projects Between Universities and Industry 2004–2007, ed. by Willi J?ger and Hans-Joachim Krebs, 365-376 (Springer: Berlin [u.a.], 2003)
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Ronald H. W. Hoppe and Svetozara I. Petrova
Optimal structural design of biomorphic composite materials
Lecture Notes in Computer Science 2542, 479-487 (2003)
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5th International Conference, NMA 2002 Borovets, Bulgaria, August 20–24, 2002; Revised Papers

Ronald H. W. Hoppe and W.G. Litvinov
Problem on stationary flow of electrorheological fluids under the conditions of nonhomogeneous temperature distribution
PAMM 2, 434-435 (2003)
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Adrian Revnic, Ronald H. W. Hoppe and Gustavo J. Sibona
The numerical analysis of some systems of differential equations arising from molecular dynamics
Studia Universitatis Babe?-Bolyai / Mathematica 48, 133-140 (2003)
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Ronald H. W. Hoppe, Svetozara I. Petrova and Volker H. Schulz
3D structural optimization in electromagnetics
in: Domain decomposition methods in sciences and engineering: 13th International Conference on Domain Decomposition Methods,Lyon, France, ed. by N. Debit, Marc Garbey, Ronald H. W. Hoppe, D. Keyes, Yuri A. Kuznetsov and Jacques Périaux, (Theory and engineering applications of computational methods) 479-486 (International Center for Numerical Methods in Engineering (CIMNE): Barcelona, Spain, 2002)
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Ronald H. W. Hoppe and E. M. Nash
A combined spectral element / finite element approach to the numerical solution of a nonlinear evolution equation describing amorphous surface growth of thin films
Journal of Numerical Mathematics 10, 127-136 (2002)
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Ronald H. W. Hoppe
Adaptive multigrid techniques in electromagnetic field computation
in: Electromagnetic nondestructive evaluation (VI) [includes a selection of papers presented at the Seventh International Workshop on Electromagnetic Nondestructive Evaluation (ENDE), held in Kobe, Japan from May 17 through 19, 2001], ed. by F. Kojima, T Takagi, S. S. Udpa and J. Pávó, (Studies in Applied Electromagnetics and Mechanics ; 23) 45-51 (IOS Press, Ohmsha: Amsterdam, 2002)
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Peter Monk, Carsten Carstensen, Stefan Funken, Wolfgang Hackbusch and Ronald H. W. Hoppe (eds.)
Computational Electromagnetics: Proceedings of the GAMM Workshop on Computational Electromagnetics, Kiel, Germany, January 26–28, 2001
(Lecture Notes in Computational Science and Engineering (LNCSE) ; 28) (Springer: Berlin, Heidelberg, 2002)
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N. Debit, Marc Garbey, Ronald H. W. Hoppe, D. Keyes, Yuri A. Kuznetsov and Jacques Périaux (eds.)
Domain decomposition methods in sciences and engineering: 13th International Conference on Domain Decomposition Methods,Lyon, France
(Theory and engineering applications of computational methods) (International Center for Numerical Methods in Engineering (CIMNE): Barcelona, Spain, 2002)
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Peter B?hm, Y. C. Gerstenmaier, Ronald H. W. Hoppe, Yuri Iliash, George Mazurkevitch and Gerhard Wachutka
Modeling and simulation of electrothermomechanical coupling phenomena in high power electronics
Lecture Notes in Computational Science and Engineering 21, 393-400 (2002)
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Proceedings of the 3rd International FORTWIHR Conference on HPSEC, Erlangen, March 12–14, 2001

Peter B?hm, Gerhard Wachutka and Ronald H. W. Hoppe
Modelling and Simulation of the Transient Electromagnetic Behavior of High Power Bus Bars
Lecture Notes in Computational Science and Engineering 21, 385-392 (2002)
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Proceedings of the 3rd International FORTWIHR Conference on HPSEC, Erlangen, March 12–14, 2001

Ronald H. W. Hoppe, Svetozara I. Petrova and Volker H. Schulz
Primal-Dual Newton-Type Interior-Point Method for Topology Optimization
Journal of Optimization Theory and Applications 114, 545-571 (2002)
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Ronald H. W. Hoppe
Shape and topology optimization in materials science
in: Proceedings: The International Conference on Computational Mathematics [held in Novosibirsk on 24-28 June, 2002], ed. by G. A. Mikhai?lov, V. P. Il?in and Yuri M. Laevskii?, 17-31 (ICm&MG Publisher: Novosibirsk, 2002)
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Ronald H. W. Hoppe, Svetozara I. Petrova and Volker H. Schulz
Topology optimization of high power electronic devices
in: Optimal Control of Complex Structures: International Conference in Oberwolfach, June 4–10, 2000, ed. by Karl-Heinz Hoffmann, I. Lasiecka, Günter Leugering, J. Sprekels and F. Tr?ltzsch, (International Series of Numerical Mathematics book series (ISNM); Vol. 139) 119-131 (Birkh?user: Basel ; Boston ; Berlin, 2002)
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Ronald H. W. Hoppe
Efficient numerical solution techniques in electromagnetic field computation
in: Solids, structures and coupled problems in engineering: ECCM-2001, 2nd European Conference on Computational Mechanics, Cracow, Poland, June 26 - 29, 2001 ; abstracts, ed. by Z. Waszczyszyn, (Fundacja Zdrowia Publicznego "Vesalius" Publ.: Kraków, 2001)
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organised by: The Department of Technical Sciences of the Polish Academy of Sciences

Karl-Heinz Hoffmann, Ronald H. W. Hoppe and Volker H. Schulz (eds.)
Fast Solution of Discretized Optimization Problems: Workshop held at the Weierstrass Institute for Applied Analysis and Stochastics, Berlin, May 8–12, 2000
(International Series of Numerical Mathematics (ISNM) ; 138) (Birkh?user: Basel ; Boston ; Berlin, 2001)
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Holger B?se, Ronald H. W. Hoppe and George Mazurkevitch
Mathematical Modelling and Numerical Simulation of Electrorheological Devices
in: Smart Materials: Proceedings of the 1st caesarium, Bonn, November 17–19, 1999, ed. by Karl-Heinz Hoffmann, 39-50 (Springer: Berlin [u.a.], 2001)
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Ronald H. W. Hoppe and George Mazurkevitch
Modeling and simulation of electrorheological devices
in: Numerical modelling in continuum mechanics: proceedings of the 4th summer conference held in Prague 2000, ed. by Miroslav Feistauer, Karel Kozel and R. Rannacher, 153-162 (MatfyzPress: [Praha], 2001)
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Ronald H. W. Hoppe and Yuri A. Kuznetsov
Overlapping Domain Decomposition methods with distributed Lagrange multipliers
East West journal of numerical mathematics 9, 285-293 (2001)
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Ronald H. W. Hoppe and Svetozara I. Petrova
Structural optimization of biomorphic microcellular ceramics by homogenization approach
Lecture Notes in Computer Science 2179, 353-360 (2001)
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Third International Conference, LSSC 2001 Sozopol, Bulgaria, June 6–10, 2001; Revised Papers

Ronald H. W. Hoppe, Svetozara I. Petrova and Volker H. Schulz
Topology Optimization of Conductive Media Described by Maxwell’s Equations
Lecture Notes in Computer Science 1988, 414-422 (2001)
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Second International Conference, NAA 2000 Rousse, Bulgaria, June 11–15, 2000; Revised Papers

Bernd Engelmann, Ronald H. W. Hoppe, Yuri Iliash, Yuri A. Kuznetsov, Yuri V. Vassilevski and Barbara Wohlmuth
Adaptive finite element methods for domain decomposition on nonmatching grids
in: Parallel Solution of Partial Differential Equations, ed. by Petter Bj?rstad and Mitchell Luskin, (The IMA Volumes in Mathematics and its Applications book series (IMA); 120) 57-83 (Springer: New York, NY, 2000)
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Ronald H. W. Hoppe
Adaptive mortar edge elements in the computation of eddy currents
in: Analysis and approximation of boundary value problems: a memorial meeting dedicated to Prof. Valery Rivkind, ed. by Pekka Neittaanm?ki, Ludmila Rivkind and Valery Rivkind, (Reports of the Department of Mathematical Information Technology / A) 83-96 (University of Jyv?skyl?, Department of Mathematical Information Technology: Jyv?skyl?, Finland, 2000)
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Ronald H. W. Hoppe and Svetozara I. Petrova
Applications of the Newton interior-point method for Maxwell?s equations
16th IMACS World Congress on Scientific Computation, Applied Mathematics and Simulation: Lausanne, Switzerland, August 21 - 25, 2000 ; [proceedings] , (2000)
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Ronald H. W. Hoppe, Yuri Iliash and George Mazurkevitch
Domain decomposition methods in high power electronics
in: ECCOMAS 2000, European Congress on Computational Methods in Applied Sciences and Engineering: Barcelona, 11 - 14 September 2000; incorporating the VI International Conference on Computational Plasticity (COMPLAS VI), (International Center for Numerical Methods in Engineering (CIMNE): Barcelona, Spain, 2000)
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Ronald H. W. Hoppe, Yuri Iliash and Iliash G. Mazurkevitch
Domain decomposition methods in the design of high power electronic devices
in: Multifield Problems: State of the Art, ed. by Anna-Margarete S?ndig, Werner Schiehlen and Wolfgang L. Wendland, 169-182 (Springer: Berlin, 2000)
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Bernd Engelmann, Ronald H. W. Hoppe, Yuri Iliash, Yuri A. Kuznetsov, Yuri V. Vassilevski and Barbara Wohlmuth
Efficient parallel domain decomposition methods for fluidmechanical problems on nonmatching grids
in: Research projects on the high performance computers of the Leibniz Computing Center 1997 - 1999, ed. by Helmut Heller, R. Ebner, Matthias Brehm, 125-127 (2000)
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Hans-Joachim Bungartz, Ronald H. W. Hoppe and Christoph Zenger (eds.)
Lectures on Applied Mathematics: Proceedings of the Symposium Organized by the Sonderforschungsbereich 438 on the Occasion of Karl-Heinz Hoffmann's 60th Birthday, Munich, June 30 – July 1, 1999
(Springer: Berlin [u.a.], 2000)
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Ronald H. W. Hoppe, George Mazurkevitch, U. Rettig and O. von Stryk
Modelling, Simulation, and Control of Electrorheological Fluid Devices
in: Lectures on Applied Mathematics: Proceedings of the Symposium Organized by the Sonderforschungsbereich 438 on the Occasion of Karl-Heinz Hoffmann's 60th Birthday, Munich, June 30 – July 1, 1999, ed. by Hans-Joachim Bungartz, Ronald H. W. Hoppe and Christoph Zenger, 251-276 (Springer: Berlin, Heidelberg, 2000)
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Bernd Engelmann, Ralf Hiptmair, Ronald H. W. Hoppe and George Mazurkevitch
Numerical simulation of electrorheological fluids based on an extended Bingham model
Computing and Visualization in Science 2, 211-219 (2000)
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Ronald H. W. Hoppe, Bernd Rauschenbach, Dirk Schweitzer and Bernd Stritzker
Parallel molecular dynamics simulations of deposition processes
in: Research projects on the high performance computers of the Leibniz Computing Center 1997 - 1999, ed. by Helmut Heller, R. Ebner and Matthias Brehm, 118-120 (Leibniz Computing Center: München, 2000)
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Rudi Beck, Ralf Hiptmair, Ronald H. W. Hoppe and Barbara Wohlmuth
Residual based a posteriori error estimators for eddy current computation
ESAIM: Mathematical Modelling and Numerical Analysis 34, 159-182 (2000)
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Barbara Wohlmuth and Ronald H. W. Hoppe
A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements
Mathematics of Computation 68, 1347-1378 (1999)
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R. Beck, Peter Deuflhard, Ralf Hiptmair, Ronald H. W. Hoppe and Barbara Wohlmuth
Adaptive multilevel methods for edge element discretizations of Maxwell's equations
Surveys on Mathematics for Industry 8, 271-312 (1999)
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Ronald H. W. Hoppe
Mortar edge elements in R3
East west journal of numerical mathematics 7, 159-173 (1999)
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Ralf Hiptmair and Ronald H. W. Hoppe
Multilevel methods for mixed finite elements in three dimensions
Numerische Mathematik 82, 253-279 (1999)
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St. Dürndorfer, V. Gradinaru, Ronald H. W. Hoppe, E.-R. K?nig, G. Schrag and Gerhard Wachutka
Numerical Simulation of Microstructured Semiconductor Devices, Transducers, and Systems
Lecture Notes in Computational Science and Engineering 8, 309-323 (1999)
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Proceedings of the International FORTWIHR Conference on HPSEC, Munich, March 16-18, 1998

Ronald H. W. Hoppe and Barbara Wohlmuth
Adaptive Mixed Hybrid and Macro-Hybrid Finite Element Methods
Acta mathematica Universitatis Comenianae 67, 159-179 (1998)
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Proceedings of the conference ALGORITMY'97; Conference on Scientific Computing Zuberec, West Tatra Mountains, Slovakia, September 2-5, 1997

Bernd Engelmann, Ronald H. W. Hoppe, Barbara Wohlmuth, Yuri A. Kuznetsov, Yuri Iliash and Yuri V. Vassilevski
Adaptive macro-hybrid finite element methods
in: ENUMATH 97: 2nd European Conference on Numerical Mathematics and Advanced Applications; Heidelberg, 28 September to 3 October 1997, ed. by Hans Georg Bock, Guido Kanschat, Rolf Rannacher, Franco Brezzi, Roland Glowinski, Yuri A. Kuznetsov and Jacques Périaux, 294-302 (World Scientific: Singapore, 1998)
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Ronald H. W. Hoppe, Yuri Iliash, Yuri A. Kuznetsov, Yuri V. Vassilevski and Barbara Wohlmuth
Analysis and parallel implementation of adaptive mortar finite element methods
East-West Journal of Numerical Mathematics 6, 223-248 (1998)
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Gerhard K. Wachutka and Ronald H. W. Hoppe
Editorial
Microelectronics Journal 29, 771 (1998)
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Ronald H. W. Hoppe and Barbara Wohlmuth
Hierarchical basis error estimators for Raviart-Thomas discretizations of arbitrary order
in: Finite element methods: superconvergence, post-processing, and a posteriori estimates [; the conference was held at the University of Jyv?skyl?, Finland 1997], ed. by Michal K?í?ek, Pekka Neittaanmaki and Rolf Stenberg, (Lecture Notes in Pure and Applied Mathematics ; 196) 155-167 (Dekker: New York [u.a.], 1998)
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Ronald H. W. Hoppe
Wissenschaftliches Rechnen - eine neue mathematische Erlebniswelt
Mathematik lehren 1998, 55-56 (1998)
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Ronald H. W. Hoppe and Barbara Wohlmuth
Adaptive Multilevel Techniques for Mixed Finite Element Discretizations of Elliptic Boundary Value Problems
SIAM Journal on Numerical Analysis 34, 1658-1681 (1997)
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Ronald H. W. Hoppe and Ulrich Rüde
Effiziente dreidimensionale und numerische Simulation eines Reaktorkerns
in: Mathematik: Schlüsseltechnologie für die Zukunft; Verbundprojekte zwischen Universit?t und Industrie, ed. by Karl-Heinz Hoffmann, Willi J?ger, Thomas Lohmann and Hermann Schunck, 117-126 (Springer: Berlin [u.a.], 1997)
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Ronald H. W. Hoppe and Barbara Wohlmuth
Multilevel iterative solution and adaptive mesh refinement for mixed finite element discretizations
Applied Numerical Mathematics 23, 97-117 (1997)
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Ronald H. W. Hoppe and Barbara Wohlmuth
Element-oriented and edge-oriented local error estimators for nonconforming finite element methods
ESAIM: Mathematical Modelling and Numerical Analysis 30, 237-263 (1996)
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Ronald H. W. Hoppe and Barbara Wohlmuth
Adaptive multilevel iterative techniques for nonconforming finite element discretizations
East-West journal of numerical mathematics 3, 179-197 (1995)
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Werner Schmid, Meinrad Paffrath and Ronald H. W. Hoppe
Application of iterative methods for solving nonsymmetric linear systems in the simulation of semiconductor processing
Surveys on mathematics for industry 5, 1-26 (1995)
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R. Hiptmair, Ronald H. W. Hoppe and B. Wohlmuth
Coupling problems in microelectronic device simulation
in: Numerical Treatment of Coupled Systems: Proceedings of the Eleventh GAMM-Seminar, Kiel, January 20–22, 1995, ed. by Wolfgang Hackbusch and Gabriel Wittum, (Notes on Numerical Fluid Mechanics (NNFM) ; 51) 86-95 (Vieweg + Teubner Verlag: Wiesbaden, 1995)
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Ronald H. W. Hoppe and Barbara Wohlmuth
Efficient numerical solution of mixed finite element discretizations by adaptive multilevel methods
Applications of Mathematics 40, 227-248 (1995)
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Ronald H. W. Hoppe, E.-R. Sieber, G. Wachutka and U. Wiest
Mathematical modelling and numerical simulation of a free boundary problem for an electromechanical micropump
Analele Stiintifice ale Universitatii Ovidius Constanta V, 65-78 (1995)
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Ronald H. W. Hoppe and R. Kornhuber
Adaptive multilevel methods for obstacle problems
SIAM Journal on Numerical Analysis 31, 301-323 (1994)
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B. Erdmann, Ronald H. W. Hoppe and R. Kornhuber
Adaptive multilevel — methods for obstacle problems in three space dimensions
in: Adaptive Methods — Algorithms, Theory and Applications: Proceedings of the Ninth GAMM-Seminar Kiel, January 22–24, 1993, ed. by Wolfgang Hackbusch and Gabriel Wittum, (Notes on Numerical Fluid Mechanics (NNFM)) 120-141 (Vieweg + Teubner Verlag: Wiesbaden, 1994)
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R. Hiptmair and Ronald H. W. Hoppe
Mixed finite element discretization of continuity equations arising in semiconductor device simulation
in: Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices: Proceedings of a Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, July 5–11, 1992, ed. by R. E. Bank, H. Gajewski, R. Bulirsch and K. Merten, (ISNM International Series of Numerical Mathematics (ISNM) ; 117) 197-217 (Birkh?user: Basel, 1994)
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Barbara Wohlmuth and Ronald H. W. Hoppe
Multilevel approaches to nonconforming finite element discretizations of linear second order elliptic boundary value problems
Journal of Computing and Information 4, 73-86 (1994)
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Ronald H. W. Hoppe
A globally convergent multi-grid algorithm for moving boundary problems of two-phase Stefan type
IMA Journal of Numerical Analysis 13, 235-253 (1993)
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B. Erdmann, M. Frei, Ronald H. W. Hoppe, R. Kornhuber and U. Wiest
Adaptive finite element methods for variational inequalities
East-West Journal of Numerical Mathematics 1, 165-197 (1993)
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M Bloss and Ronald H. W. Hoppe
Numerical simulation of dynamic sales response models
in: Proceedings of the Fifth European Conference on Mathematics in Industry: June 6 - 9, 1990, Lahti, Finland, ed. by Matti Heili?, (European Consortium for Mathematics in Industry : ECMI) 147-150 (Teubner: Stuttgart, 1991)
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Ronald H. W. Hoppe and Hans D. Mittelmann
A multi-grid continuation strategy for parameter-dependent variational inequalities
in: Continuation Techniques and Bifurcation Problems, ed. by Hans D. Mittelmann and Dirk Roose, (ISNM International Series of Numerical Mathematics (ISNM) ; 92) 35-46 (Birkh?user: Basel, 1990)
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Ronald H. W. Hoppe and Ralf Kornhuber
Multi-grid solution of two coupled Stefan equations arising in induction heating of large steel slabs
International Journal for Numerical Methods in Engineering 30, 779-801 (1990)
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Ronald H. W. Hoppe
Numerical solution of multicomponent alloy solidification by multigrid techniques
IMPACT of Computing in Science and Engineering 2, 125-156 (1990)
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Ronald H. W. Hoppe
Une méthode multigrille pour la solution des problèmes d'obstacle
ESAIM: Mathematical Modelling and Numerical Analysis 24, 711-735 (1990)
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Ronald H. W. Hoppe and Hans D. Mittelmann
A multi-grid continuation strategy for parameter-dependent variational inequalities
Journal of Computational and Applied Mathematics 26, 35-46 (1989)
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Martina Bloβ and Ronald H. W. Hoppe
Numerical computation of the value function of optimally controlled stochastic switching processes by multi-grid techniques
Numerical Functional Analysis and Optimization 10, 275-304 (1989)
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Ronald H. W. Hoppe
On the Numerical Solution of Variational Inequalities by Multi-grid Techniques
in: Numerical Analysis: Proceedings of the International Symposium, Sept. 1-4, 1987, Middle East Technical University, Ankara, ed. by Okay Celebi and B. Karas?zen, 59-87 (Middle East Technical University: Ankara, 1989)
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Ronald H. W. Hoppe and R. Kornhuber
Multi-grid solution of the two-phase Stefan problem
in: Multigrid methods: theory, applications and supercomputing, ed. by St. McCormick, 267-297 (Marcel Dekker: New York, 1988)
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Ronald H. W. Hoppe
Multi-grid solutions to the elastic plastic torsion problem in multiply connected domains
International Journal for Numerical Methods in Engineering 26, 631-646 (1988)
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Ronald H. W. Hoppe
Multigrid algorithms for variational inequalities
SIAM Journal on Numerical Analysis 24, 1046-1065 (1987)
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Ronald H. W. Hoppe
Two-sided approximations for unilateral variational inequalities by multi-grid methods
Optimization 18, 867-881 (1987)
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Ronald H. W. Hoppe
Constructive aspects in time optimal control
Lecture Notes in Mathematics 1190, 243-272 (1986)
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Ronald H. W. Hoppe
Multi-grid methods for Hamilton-Jacobi-Bellman equations
Numerische Mathematik 49, 239-254 (1986)
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Ronald H. W. Hoppe
A constructive approach to the Bellman semigroup
Nonlinear Analysis: Theory, Methods and Applications 9, 1165-1181 (1985)
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Ronald H. W. Hoppe
Approximate solution of systems of evolutionary quasivariational inequalities
in: Mathematica: ad diem natalem septuagesimum quintum data; Festschrift Ernst Mohr zum 75. Geburtstag am 20. April 1985, ed. by K. H. F?rster and E. Mohr, 95-115 (Technische Universit?t Berlin: Berlin, 1985)
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Ronald H. W. Hoppe
Interpolation of cosine operator functions
Annali di Matematica Pura ed Applicata 136, 183-212 (1984)
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Ronald H. W. Hoppe
Representation of fractional powers of infinitesimal generators of cosine operator functions
Results in Mathematics 7, 65-70 (1984)
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Ronald H. W. Hoppe and B. Brosowski
Crank-Nicolsen-Galerkin approximation for Maxwell's equations
Mathematical Methods in the Applied Sciences 4, 123-130 (1982)
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Ronald H. W. Hoppe
Discrete approximations of cosine operator functions I
SIAM Journal on Numerical Analysis 19, 1110-1128 (1982)
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Ronald H. W. Hoppe
On the approximate solution of time-optimal control problems
Applied Mathematics and Optimization 9, 263-290 (1982)
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Ronald H. W. Hoppe
A penalty method for the approximate solution of stationary Maxwell equations
Numerische Mathematik 36, 389-403 (1981)
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