A space-time adaptive discontinuous Galerkin method for the numerical solution of the dynamic quasi-static von Kármán equations. - Hoppe, R. H. W. (Comput. Math. Appl., 2023)

Space-time adaptive splitting scheme for the numerical simulation of polycrystallization. - Hoppe, R. H. W.; Pahari, Basanta R.; Winkle, James J. (J. Comput. Appl. Math., 2022)

Numerical solution of a phase field model for polycrystallization processes in binary mixtures. - Hoppe, Ronald H. W.; Winkle, James J. (Comput. Vis. Sci., 2019)

Chinese-German Computational and Applied Mathematics. - Hoppe, Ronald H. W.; Hu, Jun; Peter, Malte A.; Rannacher, Rolf; Shi, Zhongci; Xu, Xuejun (Comput. Methods Appl. Math., 2016)

Numerical Simulation of Surface Acoustic Wave Actuated Separation of Rigid Enantiomers by the Fictitious Domain Lagrange Multiplier Method. - Burger, Stefan; Franke, Thomas; Fraunholz, Thomas; Hoppe, Ronald H. W.; Peter, Malte A.; Wixforth, Achim (Comput. Methods Appl. Math., 2015)

Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the biharmonic problem. - Fraunholz, Thomas; Hoppe, Ronald H. W.; Peter, Malte A. (J. Num. Math., 2015)

Snapshot location by error equilibration in proper orthogonal decomposition for linear and semilinear parabolic partial differential equations. - Hoppe, Ronald H. W.; Liu, Zhiheng (J. Num. Math., 2014)

An Equilibrated A Posteriori Error Estimator for the Interior Penalty Discontinuous Galerkin Method. - Braess, Dietrich; Fraunholz, Thomas; Hoppe, R. H. W. (SIAM J. Numer. Anal., 2014)

Rolf Dieter Grigorieff. Applications of Functional Analysis. - Emmrich, Etienne; Hoppe, Ronald H. W.; Kornhuber, Ralf (Comput. Methods Appl. Math., 2013)

An adaptive Newton continuation strategy for the fully implicit finite element immersed boundary method. - Hoppe, Ronald H. W.; Linsenmann, Christopher (J. Comput. Phys., 2012)

Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips. - Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Linsenmann, Christopher; Wixforth, Achim (Math. Comput. Simul., 2012)

Projection Based Model Reduction for Optimal Design of the Time-dependent Stokes System. - Franke, Thomas; Hoppe, Ronald H. W.; Linsenmann, Christopher; Wixforth, Achim (2012)

Numerical simulation of the motion of red blood cells and vesicles in microfluidic flows. - Franke, Thomas; Hoppe, Ronald H. W.; Linsenmann, Christopher; Schmid, Lothar; Willbold, Carina; Wixforth, Achim (Comput. Vis. Sci., 2011)

Optimal control of European double barrier basket options. - Hoppe, Ronald H. W.; Lipp, Tobias (J. Num. Math., 2011)

Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system. - Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W. (Optim. Methods Softw., 2011)

Multi-scale Method for the Crack Problem in Microstructural Materials. - Hoppe, Ronald H. W.; Petrova, Svetozara I. (Comput. Methods Appl. Math., 2010)

Diffeomorphic Matching and Dynamic Deformable Surfaces in 3d Medical Imaging. - Azencott, Robert; Glowinski, Roland; He, Jiwen; Jajoo, Aarti; Li, Yipeng; Martynenko, Andrey; Hoppe, Ronald H. W.; Benzekry, Sagit; Little, Stuart H. (Comput. Methods Appl. Math., 2010)

Adaptive finite element methods for mixed control-state constrained optimal control problems for elliptic boundary value problems. - Hoppe, R. H. W.; Kieweg, Michael (Comput. Optim. Appl., 2010)

Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. - Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C. (Comput. Vis. Sci., 2010)

Optimality of local multilevel methods on adaptively refined meshes for elliptic boundary value problems. - Xu, Xuejun; Chen, Huangxin; Hoppe, Ronald H. W. (J. Num. Math., 2010)

Adaptive finite element methods for the Laplace eigenvalue problem. - Hoppe, Ronald H. W.; Wu, H.; Zhang, Z. (J. Num. Math., 2010)

Convergence and quasi-optimality of adaptive nonconforming finite element methods for some nonsymmetric and indefinite problems. - Chen, Huangxin; Xu, Xuejun; Hoppe, Ronald H. W. (Numerische Mathematik, 2010)

Goal-Oriented Adaptivity in Pointwise State Constrained Optimal Control of Partial Differential Equations. - Hintermüller, Michael; Hoppe, Ronald H. W. (SIAM J. Control. Optim., 2010)

Preface. - Hoppe, Ronald H. W.; Kuznetsov, Yuri A. (J. Num. Math., 2009)

Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems. - Carstensen, Carsten; Hoppe, Ronald H. W. (J. Num. Math., 2009)

A posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems. - Hoppe, Ronald H. W.; Kieweg, Michael (J. Num. Math., 2009)

Path-following methods for shape optimal design of periodic microstructural materials. - Hoppe, Ronald H. W.; Petrova, Svetozara I. (Optim. Methods Softw., 2009)

Goal-oriented adaptivity in control constrained optimal control of partial differential equations. - Hintermüller, Michael; Hoppe, Ronald H. W. (2009)

Goal-Oriented Adaptivity in Control Constrained Optimal Control of Partial Differential Equations. - Hintermüller, Michael; Hoppe, Ronald H. W. (SIAM J. Control. Optim., 2008)

Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method. - Hoppe, R. H. W.; Kanschat, Guido; Warburton, Tim (SIAM J. Numer. Anal., 2008)

Path-following primal-dual interior-point methods for shape optimization of stationary flow problems. - Antil, Harbir; Hoppe, Ronald H. W.; Linsenmann, Christopher (J. Num. Math., 2007)

On the numerical solution of a semilinear elliptic eigenproblem of Lane-Emden type, I: Problem formulation and description of the algorithms. - Foss, Fritz J., II; Glowinski, Roland; Hoppe, Ronald H. W. (J. Num. Math., 2007)

On the numerical solution of a semilinear elliptic eigenproblem of Lane-Emden type, II: Numerical experiments. - Foss, Fritz J., II; Glowinski, Roland; Hoppe, Ronald H. W. (J. Num. Math., 2007)

Elasto-plasticity model in structural optimization of composite materials with periodic microstructures. - Hoppe, Ronald H. W.; Petrova, Svetozara (Math. Comput. Simul., 2007)

Convergence analysis of a conforming adaptive finite element method for an obstacle problem. - Braess, Dietrich; Carstensen, Carsten; Hoppe, Ronald H. W. (Numerische Mathematik, 2007)

Adaptive Path Following Primal Dual Interior Point Methods for Shape Optimization of Linear and Nonlinear Stokes Flow Problems. - Hoppe, Ronald H. W.; Linsenmann, Christopher; Antil, Harbir (2007)

A posteriori error estimates for adaptive finite element discretizations of boundary control problems. - Hoppe, Ronald H. W.; Iliash, Yuri; Iyyunni, Chakradhar; Sweilam, Nasser Hassan (J. Num. Math., 2006)

Error reduction and convergence for an adaptive mixed finite element method. - Carstensen, Carsten; Hoppe, R. H. W. (Math. Comput., 2006)

Convergence analysis of an adaptive nonconforming finite element method. - Carstensen, Carsten; Hoppe, Ronald H. W. (Numerische Mathematik, 2006)

Mechanical Failure in Microstructural Heterogeneous Materials. - Bordas, Stéphane P. A.; Hoppe, Ronald H. W.; Petrova, Svetozara (2006)

Convergence analysis of an adaptive edge finite element method for the 2D eddy current equations. - Carstensen, Carsten; Hoppe, Ronald H. W. (J. Num. Math., 2005)

Finite element methods for Maxwell's equations. - Hoppe, Ronald H. W. (Math. Comput., 2005)

Additive Schwarz methods for the Crouzeix-Raviart mortar finite element for elliptic problems with discontinuous coefficients. - Rahman, Talal; Xu, Xuejun; Hoppe, Ronald H. W. (Numerische Mathematik, 2005)

Problems of Stationary Flow of Electrorheological Fluids in a Cylindrical Coordinate System. - Hoppe, Ronald H. W.; Litvinov, William G.; Rahman, Talal (SIAM J. Appl. Math., 2005)

On the Convergence of Mortar Edge Element Methods in R3. - Xu, Xuejun; Hoppe, R. H. W. (SIAM J. Numer. Anal., 2005)

Homogenization design method for biomorphic composite materials. - Hoppe, Ronald H. W.; Petrova, Svetozara I. (J. Comput. Methods Sci. Eng., 2004)

Optimal shape design in biomimetics based on homogenization and adaptivity. - Hoppe, Ronald H. W.; Petrova, Svetozara (Math. Comput. Simul., 2004)

Primal-dual Newton interior point methods in shape and topology optimization. - Hoppe, Ronald H. W.; Petrova, Svetozara I. (Numer. Linear Algebra Appl., 2004)

Efficient Solvers for 3-D Homogenized Elasticity Model. - Hoppe, Ronald H. W.; Petrova, Svetozara (2004)

Adaptive Grid Refinement for Computation of the Homogenized Elasticity Tensor. - Hoppe, Ronald H. W.; Petrova, Svetozara; Vassilevski, Yuri V. (2003)

A combined spectral element/finite element approach to the numerical solution of a nonlinear evolution equation describing amorphous surface growth of thin films. - Hoppe, Ronald H. W.; Nash, Eva M. (J. Num. Math., 2002)

Optimal Structural Design of Biomorphic Composite Materials. - Hoppe, Ronald H. W.; Petrova, Svetozara (2002)

Overlapping Domain Decomposition methods with distributed Lagrange multipliers. - Hoppe, Ronald H. W.; Kuznetsov, Yuri A. (J. Num. Math., 2001)

Structural Optimization of Biomorphic Microcellular Ceramics by Homogenization Approach. - Hoppe, Ronald H. W.; Petrova, Svetozara (2001)

Topology Optimization of Conductive Media Described by Maxwell's Equations. - Hoppe, Ronald H. W.; Petrova, Svetozara; Schulz, Volker (2000)

A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements. - Wohlmuth, Barbara I.; Hoppe, Ronald H. W. (Math. Comput., 1999)

Multilevel methods for mixed finite elements in three dimensions. - Hiptmair, Ralf; Hoppe, Ronald H. W. (Numerische Mathematik, 1999)

Element oriented and edge oriented local error estimators for nonconforming finite element methods - Hoppe, Ronald H. W.; Wohlmuth, Barbara I. (Forschungsberichte, TU Munich, 1992)

Numerical solution of multicomponent alloy solidification by multigrid techniques. - Hoppe, Ronald H. W. (IMPACT Comput. Sci. Eng., 1990)