Edit Profile (opens in new tab) Hoppe, Ronald H. W. Co-Author Distance Author ID: hoppe.ronald-h-w Published as: Hoppe, Ronald H. W.; Hoppe, R. H. W.; Hoppe, R.; Hoppe, Ronald; Hoppe, R. H. W more...less Further Spellings: Hoppe, Ronald Heinz Willibald Homepage: https://www.uni-augsburg.de/en/fakultaet/mntf/math/prof/numa/ External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 162 Publications since 1981, including 1 Book and 1 Additional arXiv Preprint 15 Contributions as Editor Reviewing Activity: 156 Reviews Co-Authors: 123 Co-Authors with 151 Joint Publications 4,093 Co-Co-Authors all top 5 Co-Authors 24 single-authored 21 Petrova, Svetozara I. 17 Linsenmann, Christopher 14 Wohlmuth, Barbara I. 10 Hiptmair, Ralf 9 Antil, Harbir 9 Carstensen, Carsten 9 Litvinov, William G. 8 Wixforth, Achim 8 Xu, Xuejun 7 Franke, Thomas 7 Hintermüller, Michael 7 Kornhuber, Ralf 7 Schulz, Volker H. 5 Braess, Dietrich 5 Heinkenschloss, Matthias 5 Kuznetsov, Yurii Alekseevich 5 Rahman, Talal 5 Vassilevski, Yuri V. 4 Chen, Huangxin 4 Fraunholz, Thomas 4 Glowinski, Roland 4 Kieweg, Michael 4 Langer, Ulrich 4 Mazurkevitch, George 4 Peter, Malte Andreas 4 Winkle, James J. 3 Boyarkin, Oleg M. 3 Gaevskaya, Alexandra 3 Joly, Patrick 3 Löbhard, Caroline 2 Bhandari, Chandi 2 Burger, Stefan 2 Engelmann, Bernd 2 Erdmann, Bodo 2 Foss, Frederick J. II 2 Iliash, Yuri 2 Kumar, Rahul 2 Pahari, Basanta R. 2 Périaux, Jacques F. 2 Repin, Sergeĭ Igorevich 2 Schmid, Lothar 2 Schmid, Werner 2 Schöberl, Joachim 2 Wachutka, Gerhard 2 Warburton, Timothy 1 Agrawal, Akshay 1 Azencott, Robert 1 Beck, Rudi 1 Beck, Rudolf 1 Beleke-Maxwell, K. 1 Benzekry, Sébastien 1 Bloß, Martina 1 Böhm, Peter 1 Bordas, Stéphane Pierre Alain 1 Böse, Holger 1 Brenner, Susanne Cecelia 1 Bungartz, Hans-Joachim 1 Debit, Naïma 1 Deuflhard, Peter 1 Eigel, Martin 1 Emmrich, Etienne 1 Finnemann, H. 1 Freund, Roland W. 1 Funken, Stefan A. 1 Gantner, Andreas 1 Garbey, Marc 1 Hackbusch, Wolfgang 1 He, Jiwen 1 Hinze, Michael 1 Hoffmann, Karl-Heinz 1 Hu, Jun 1 Iliash, Youri 1 Iliash, Yu. I. 1 Iyyunni, C. 1 Jajoo, Aarti 1 Kanschat, Guido 1 Keyes, David Elliot 1 Kirschler, Simon 1 Köster, Daniel 1 Kunisch, Karl 1 Kuz’min, Mikhaĭl Yur’evich 1 Li, Yipeng 1 Lindner, Kevin 1 Little, S. H. 1 Liu, Zhuo 1 Mazurkewitch, G. 1 Mittelmann, Hans Detlef 1 Monk, Peter B. 1 Nash, E. M. 1 Nash, Eva 1 Nguyen, Chanh-Dinh 1 Paffrath, Meinhard 1 Pan, Tsorng-Whay 1 Pironneau, Olivier 1 Porta, Paulo 1 Ramminger, Siegfried 1 Rannacher, Rolf 1 Rettig, Uwe 1 Revnic, Adrian 1 Rivière, Beatrice M. ...and 23 more Co-Authors all top 5 Serials 13 Journal of Numerical Mathematics 7 Numerische Mathematik 7 SIAM Journal on Numerical Analysis 7 Oberwolfach Reports 6 Computing and Visualization in Science 6 Computational Methods in Applied Mathematics 5 Journal of Computational Mathematics 5 East-West Journal of Numerical Mathematics 4 Numerical Mathematics: Theory, Methods and Applications 3 Journal of Computational and Applied Mathematics 3 Mathematics and Computers in Simulation 3 Applied Numerical Mathematics 3 Russian Journal of Numerical Analysis and Mathematical Modelling 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Lecture Notes in Computational Science and Engineering 2 IMA Journal of Numerical Analysis 2 Mathematics of Computation 2 Control and Cybernetics 2 International Journal for Numerical Methods in Engineering 2 SIAM Journal on Control and Optimization 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Numerical Methods for Partial Differential Equations 2 Surveys on Mathematics for Industry 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Optimization Methods & Software 2 Communications on Pure and Applied Analysis 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 Calcolo 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Results in Mathematics 1 Optimization 1 European Journal of Applied Mathematics 1 Acta Mathematica Universitatis Comenianae. New Series 1 Applications of Mathematics 1 SIAM Journal on Applied Mathematics 1 Studia Universitatis Babeș-Bolyai. Mathematica 1 Computational Optimization and Applications 1 Journal of Mathematical Sciences (New York) 1 Numerical Linear Algebra with Applications 1 Abstract and Applied Analysis 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Portugaliae Mathematica. Nova Série 1 Journal of Computational Methods in Sciences and Engineering 1 Central European Journal of Mathematics 1 ISNM. International Series of Numerical Mathematics 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Springer-Lehrbuch all top 5 Fields 132 Numerical analysis (65-XX) 74 Partial differential equations (35-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 30 Fluid mechanics (76-XX) 29 Mechanics of deformable solids (74-XX) 28 Optics, electromagnetic theory (78-XX) 26 Operations research, mathematical programming (90-XX) 15 General and overarching topics; collections (00-XX) 8 Biology and other natural sciences (92-XX) 7 Systems theory; control (93-XX) 6 Functional analysis (46-XX) 6 Operator theory (47-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 128 Publications have been cited 1,235 times in 790 Documents Cited by ▼ Year ▼ Residual based a posteriori error estimators for eddy current computation. Zbl 0949.65113 Beck, Rudi; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara 95 2000 An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints. Zbl 1157.65039 Hintermüller, Michael; Hoppe, Ronald H. W.; Iliash, Yuri; Kieweg, Michael 58 2008 Adaptive multilevel methods for obstacle problems. Zbl 0806.65064 Hoppe, R. H. W.; Kornhuber, R. 54 1994 Multigrid algorithms for variational inequalities. Zbl 0628.65046 Hoppe, Ronald H. W. 50 1987 A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements. Zbl 0929.65094 Wohlmuth, Barbara I.; Hoppe, Ronald H. W. 47 1999 Error reduction and convergence for an adaptive mixed finite element method. Zbl 1094.65112 Carstensen, Carsten; Hoppe, R. H. W. 43 2006 Convergence analysis of an adaptive nonconforming finite element method. Zbl 1101.65102 Carstensen, Carsten; Hoppe, Ronald H. W. 41 2006 Convergence analysis of a conforming adaptive finite element method for an obstacle problem. Zbl 1126.65058 Braess, Dietrich; Carstensen, Carsten; Hoppe, Ronald H. W. 39 2007 Goal-oriented adaptivity in control constrained optimal control of partial differential equations. Zbl 1167.49029 Hintermüller, M.; Hoppe, R. H. W. 36 2008 Computational issues related to iterative coupling of subsurface and channel flows. Zbl 1150.76028 Hoppe, Ronald H. W.; Porta, Paulo; Vassilevski, Yuri 33 2007 Element-oriented and edge-oriented local error estimators for nonconforming finite element methods. Zbl 0843.65075 Hoppe, Ronald H. W.; Wohlmuth, Barbara 32 1996 A review of unified a posteriori finite element error control. Zbl 1289.65249 Carstensen, C.; Eigel, M.; Hoppe, R. H. W.; Löbhard, C. 32 2012 Adaptive multilevel methods for edge element discretizations of Maxwell’s equations. Zbl 0939.65136 Beck, Rudolf; Deuflhard, Peter; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara 25 1999 Multi-grid methods for Hamilton-Jacobi-Bellman equations. Zbl 0577.65088 Hoppe, Ronald H. W. 24 1986 Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system. Zbl 1227.49046 Antil, H.; Heinkenschloss, M.; Hoppe, R. H. W. 23 2011 A posteriori error estimates for adaptive finite element discretizations of boundary control problems. Zbl 1104.65066 Hoppe, R. H. W.; Iliash, Y.; Iyyunni, C.; Sweilam, N. H. 22 2006 Convergence analysis of an adaptive finite element method for distributed control problems with control constraints. Zbl 1239.49041 Gaevskaya, A.; Hoppe, R. H. W.; Iliash, Y.; Kieweg, M. 22 2007 A posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems. Zbl 1178.65070 Hoppe, R. H. W.; Kieweg, M. 22 2009 Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. Zbl 1220.65074 Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C. 22 2010 Convergence analysis of an adaptive interior penalty discontinuous Galerkin method. Zbl 1189.65274 Hoppe, R. H. W.; Kanschat, G.; Warburton, T. 22 2009 Goal-oriented adaptivity in pointwise state constrained optimal control of partial differential equations. Zbl 1208.49025 Hintermüller, Michael; Hoppe, Ronald H. W. 21 2010 Convergence of adaptive edge element methods for the 3D eddy currents equations. Zbl 1212.65126 Hoppe, R. H. W.; Schöberl, J. 18 2009 Adaptive multilevel techniques for mixed finite element discretizations of elliptic boundary value problems. Zbl 0889.65124 Hoppe, Ronald H. W.; Wohlmuth, Barbara 17 1997 Adaptive finite element methods for mixed control-state constrained optimal control problems for elliptic boundary value problems. Zbl 1208.49037 Hoppe, R. H. W.; Kieweg, M. 17 2010 Convergence analysis of an adaptive edge finite element method for the 2D eddy current equations. Zbl 1073.78008 Carstensen, C.; Hoppe, R. H. W. 16 2005 Additive Schwarz methods for the Crouzeix-Raviart mortar finite element for elliptic problems with discontinuous coefficients. Zbl 1087.65117 Rahman, Talal; Xu, Xuejun; Hoppe, Ronald 14 2005 Dual-weighted goal-oriented adaptive finite elements for optimal control of elliptic variational inequalities. Zbl 1287.49030 Hintermüller, M.; Hoppe, R. H. W.; Löbhard, C. 13 2014 An equilibrated a posteriori error estimator for the interior penalty discontinuous Galerkin method. Zbl 1302.65239 Braess, D.; Fraunholz, T.; Hoppe, R. H. W. 12 2014 Numerical simulation of the motion of red blood cells and vesicles in microfluidic flows. Zbl 1402.92066 Franke, Thomas; Hoppe, Ronald H. W.; Linsenmann, Christopher; Schmid, Lothar; Willbold, Carina; Wixforth, Achim 12 2011 An adaptive Newton continuation strategy for the fully implicit finite element immersed boundary method. Zbl 1245.76076 Hoppe, R. H. W.; Linsenmann, C. 11 2012 Optimality of local multilevel methods on adaptively refined meshes for elliptic boundary value problems. Zbl 1194.65147 Xu, X.; Chen, H.; Hoppe, R. H. W. 11 2010 Primal-dual Newton-type interior-point method for topology optimization. Zbl 1026.90108 Hoppe, R. H. W.; Petrova, S. I.; Schulz, V. 10 2002 Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the Helmholtz equation. Zbl 1277.65087 Hoppe, R. H. W.; Sharma, N. 10 2013 A multi-grid continuation strategy for parameter-dependent variational inequalities. Zbl 0671.65047 Hoppe, Ronald H. W.; Mittelmann, Hans D. 9 1989 Error reduction in adaptive finite element approximations of elliptic obstacle problems. Zbl 1212.65246 Braess, Dietrich; Carstensen, Carsten; Hoppe, Ronald H. W. 9 2009 Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips. Zbl 1252.76099 Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Linsenmann, Christopher; Wixforth, Achim 9 2012 Two-sided approximations for unilateral variational inequalities by multi-grid methods. Zbl 0635.49006 Hoppe, R. H. W. 8 1987 An adaptive hybridized interior penalty discontinuous Galerkin method for H(curl)-elliptic problems. Zbl 1249.65228 Carstensen, C.; Hoppe, R. H. W.; Sharma, N.; Warburton, T. 8 2011 Convergence and quasi-optimality of adaptive nonconforming finite element methods for some nonsymmetric and indefinite problems. Zbl 1201.65195 Chen, Huangxin; Xu, Xuejun; Hoppe, Ronald H. W. 8 2010 Weak-duality based adaptive finite element methods for PDE-constrained optimization with pointwise gradient state-constraints. Zbl 1265.65122 Hintermüller, M.; Hinze, Michael; Hoppe, Ronald H. W. 8 2012 Analysis and parallel implementation of adaptive mortar element methods. Zbl 0913.65098 Hoppe, R.; Iliash, Yu.; Kuznetsov, Yu.; Vassilevski, Yu.; Wohlmuth, B. 7 1998 Multilevel methods for mixed finite elements in three dimensions. Zbl 0929.65124 Hiptmair, Ralf; Hoppe, Ronald H. W. 7 1999 Adaptive edge element approximation of \(H(\mathrm{curl}\)-elliptic optimal control problems with control constraints. Zbl 1314.49018 Hoppe, Ronald H. W.; Yousept, Irwin 7 2015 Computational electromagnetics. Proceedings of the GAMM workshop on computational electromagnetics, Kiel, Germany, January 26–28, 2001. Zbl 1007.78001 7 2003 Primal-dual Newton interior point methods in shape and topology optimization. Zbl 1164.90421 Hoppe, R. H. W.; Petrova, S. I. 7 2004 Diffeomorphic matching and dynamic deformable surfaces in 3D medical imaging. Zbl 1283.49029 Azencott, R.; Glowinski, R.; He, J.; Jajoo, A.; Li, Y.; Martynenko, A.; Hoppe, R. H. W.; Benzekry, S.; Little, S. H.; Zoghbi, W. A. 6 2010 Adaptive finite elements for optimally controlled elliptic variational inequalities of obstacle type. Zbl 1318.49050 Gaevskaya, A.; Hintermüller, M.; Hoppe, R. H. W.; Löbhard, C. 6 2014 Adaptive multilevel iterative techniques for nonconforming finite element discretizations. Zbl 0836.65127 Hoppe, R. H. W.; Wohlmuth, B. 6 1995 Functional approach to a posteriori error estimation for elliptic optimal control problems with distributed control. Zbl 1202.65148 Gaevskaya, A.; Hoppe, R. H. W.; Repin, S. 6 2007 Adaptive finite element methods for the Laplace eigenvalue problem. Zbl 1222.65122 Hoppe, R. H. W.; Wu, H.; Zhang, Z. 6 2010 A posteriori estimates for cost functionals of optimal control problems. Zbl 1119.65344 Gaevskaya, Alexandra; Hoppe, Ronald H. W.; Repin, Sergey 6 2006 Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the biharmonic problem. Zbl 1328.65237 Fraunholz, Thomas; Hoppe, Ronald H. W.; Peter, Malte 5 2015 A combined spectral element/finite element approach to the numerical solution of a nonlinear evolution equation describing amorphous surface growth of thin films. Zbl 1004.65099 Hoppe, R. H. W.; Nash, E. M. 5 2002 A two-energies principle for the biharmonic equation and an a posteriori error estimator for an interior penalty discontinous Galerkin approximation. Zbl 1419.31004 Braess, Dietrich; Hoppe, R. H. W.; Linsenmann, Christopher 5 2018 Optimal shape design in biomimetics based on homogenization and adaptivity. Zbl 1106.74390 Hoppe, Ronald H. W.; Petrova, Svetozara I. 5 2004 Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems. Zbl 1196.65171 Carstensen, C.; Hoppe, R. H. W. 5 2009 Modeling, simulation, and optimization of surface acoustic wave driven microfluidic biochips. Zbl 1224.65008 Antil, Harbir; Glowinski, Roland; Hoppe, Ronald H. W.; Linsenmann, Christopher; Pan, Tsorng-Whay; Wixforth, Achim 5 2010 Discrete approximations of cosine operator functions. I. Zbl 0545.65038 Hoppe, Ronald H. W. 5 1982 A splitting scheme for the numerical solution of the KWC system. Zbl 1449.65289 Hoppe, R. H. W.; Winkle, J. J. 5 2019 Mortar edge element methods in \(\mathbb{R}^3\). Zbl 0944.65118 Hoppe, R. H. W. 4 1999 High order approximations in space and time of a sixth order Cahn-Hilliard equation. Zbl 1334.65153 Boyarkin, Oleg; Hoppe, Ronald H. W.; Linsenmann, Christopher 4 2015 Problems on electrorheological fluid flows. Zbl 1083.35112 Hoppe, Ronald H. W.; Litvinov, William G. 4 2004 Interpolation of cosine operator functions. Zbl 0562.47035 Hoppe, Ronald H. W. 4 1984 Snapshot location by error equilibration in proper orthogonal decomposition for linear and semilinear parabolic partial differential equations. Zbl 1302.65138 Hoppe, R. H. W.; Liu, Zhuo 4 2014 Multi-grid solutions to the elastic plastic torsion problem in multiply connected domains. Zbl 0703.73091 Hoppe, Ronald H. W. 4 1988 Hierarchical basis error estimators for Raviart-Thomas discretizations of arbitrary order. Zbl 0902.65051 Hoppe, R. H. W.; Wohlmuth, B. 4 1998 Efficient numerical solution of mixed finite element discretizations by adaptive multilevel methods. Zbl 0833.65131 Hoppe, Ronald H. W.; Wohlmuth, Barbara 4 1995 Adaptive finite element methods for variational inequalities. Zbl 0835.65088 Erdmann, B.; Frei, M.; Hoppe, R. H. W.; Kornhuber, R.; Wiest, U. 4 1993 Adaptive multigrid and domain decomposition methods in the computation of electromagnetic fields. Zbl 1107.78014 Hoppe, R. H. W. 4 2004 Adaptive path following primal dual interior point methods for shape optimization of linear and nonlinear Stokes flow problems. Zbl 1229.76030 Hoppe, Ronald H. W.; Linsenmann, Christopher; Antil, Harbir 4 2008 Path-following primal-dual interior-point methods for shape optimization of stationary flow problems. Zbl 1219.76018 Antil, H.; Hoppe, R. H. W.; Linsenmann, Chr. 4 2007 Optimal design of stationary flow problems by path-following interior-point methods. Zbl 1182.49040 Antil, Harbir; Hoppe, Ronald H. W.; Linsenmann, Christopher 3 2008 Transport at interfaces in lipid membranes and enantiomer separation. Zbl 1391.76036 Boyarkin, Oleg; Burger, Stefan; Franke, Thomas; Fraunholz, Thomas; Hoppe, Ronald H. W.; Kirschler, Simon; Lindner, Kevin; Peter, Malte A.; Strobl, Florian; Wixforth, Achim 3 2017 Multi-grid solution of two coupled Stefan equations arising in induction heating of large steel slabs. Zbl 0723.65137 Hoppe, Ronald H. W.; Kornhuber, Ralf 3 1990 Uniform convergence of local multigrid methods for the time-harmonic Maxwell equation. Zbl 1278.65167 Chen, Huangxin; Hoppe, Ronald H. W.; Xu, Xuejun 3 2013 Modeling, simulation and optimization of electrorheological fluids. Zbl 1318.76023 Hoppe, Ronald H. W.; Litvinov, William G. 3 2011 Goal oriented mesh adaptivity for mixed control-state constrained elliptic optimal control problems. Zbl 1186.65080 Hintermüller, Michael; Hoppe, Ronald H. W. 3 2010 Numerical simulation of electrorheological fluids based on an extended Bingham model. Zbl 1094.76534 Engelmann, B.; Hiptmair, R.; Hoppe, R. H. W.; Mazurkevitch, G. 2 2000 Representation of fractional powers of infinitesimal generators of cosine operator functions. Zbl 0562.47034 Hoppe, Ronald H. W. 2 1984 A constructive approach to the Bellman semigroup. Zbl 0588.49017 Hoppe, Ronald H. W. 2 1985 Une méthode multigrille pour la solution des problèmes d’obstacle. (A multi-grid method for the solution of obstacle problems). Zbl 0716.65056 Hoppe, Ronald H. W. 2 1990 Coupled problems on stationary non-isothermal flow of electrorheological fluids. Zbl 1109.76068 Litvinov, W. G.; Hoppe, R. H. W. 2 2005 Numerical simulation of surface acoustic wave actuated separation of rigid enantiomers by the fictitious domain Lagrange multiplier method. Zbl 1317.65203 Burger, Stefan; Franke, Thomas; Fraunholz, Thomas; Hoppe, Ronald H. W.; Peter, Malte A.; Wixforth, Achim 2 2015 Numerical computation of the value function of optimally controlled stochastic switching processes by multi-grid techniques. Zbl 0651.65053 Bloß, Martina; Hoppe, Ronald H. W. 2 1989 Primal-dual Newton methods in structural optimization. Zbl 1511.90421 Hoppe, Ronald H. W.; Linsenmann, Christopher; Petrova, Svetozara I. 2 2006 Problems of stationary flow of electrorheological fluids in a cylindrical coordinate system. Zbl 1075.35051 Hoppe, R. H. W.; Litvinov, W. G.; Rahman, T. 2 2005 On the convergence of mortar edge element methods in \(\mathbb R^3\). Zbl 1095.65096 Xu, Xuejun; Hoppe, R. H. W. 2 2005 Adaptive domain decomposition techniques in electromagnetic field computation and electrothermomechanical coupling problems. Zbl 1114.78013 Hoppe, R. H. W. 2 2003 Numerical solution of a nonlinear evolution equation describing amorphous surface growth of thin films. Zbl 1163.35412 Hoppe, Ronald H. W.; Nash, Eva 2 2004 The finite element immersed boundary method for the numerical simulation of the motion of red blood cells in microfluidic flows. Zbl 1402.92068 Hoppe, Ronald H. W.; Linsenmann, Christopher 2 2013 Multilevel iterative solution and adaptive mesh refinement for mixed finite element discretizations. Zbl 0879.65083 Hoppe, Ronald H. W.; Wohlmuth, Barbara 2 1997 \(\mathrm{C}^0\)-interior penalty discontinuous Galerkin approximation of a sixth-order Cahn-Hilliard equation modeling microemulsification processes. Zbl 1418.65131 Hoppe, Ronald H. W.; Linsenmann, Christopher 2 2019 A \(\mathrm{C}^0\) 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. Zbl 07609839 Hoppe, Ronald H. W. 2 2022 Numerical simulation of the formation of spherulites in polycrystalline binary mixtures. Zbl 1467.82093 Hoppe, Ronald H. W.; Pahari, Basanta R.; Winkle, James J. 2 2021 On the numerical solution of a semilinear elliptic eigenproblem of Lane-Emden type. II. Numerical experiments. Zbl 1153.65370 Foss, F. J. II; Glowinski, R.; Hoppe, R. H. W. 2 2007 Numerical simulation of surface acoustic wave actuated cell sorting. Zbl 1318.92021 Franke, Thomas; Hoppe, Ronald H. W.; Linsenmann, Christopher; Zeleke, Kidist 2 2013 A globally convergent multi-grid algorithm for moving boundary problems of two-phase Stefan type. Zbl 0771.65085 Hoppe, Ronald H. W. 2 1993 On the numerical solution of a semilinear elliptic eigenproblem of Lane-Emden type. I: Problem formulation and description of the algorithms. Zbl 1152.65476 Foss, F. J. II.; Glowinski, R.; Hoppe, R. H. W. 2 2007 Topology optimization of high power electronic devices. Zbl 1026.78018 Hoppe, Ronald H. W.; Petrova, Svetozara; Schulz, Volker 2 2002 Applications of primal-dual interior methods in structural optimization. Zbl 1098.90070 Hoppe, Ronald H. W.; Petrova, Svetozara I. 2 2003 A \(\mathrm{C}^0\) 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. Zbl 07609839 Hoppe, Ronald H. W. 2 2022 Numerical simulation of the formation of spherulites in polycrystalline binary mixtures. Zbl 1467.82093 Hoppe, Ronald H. W.; Pahari, Basanta R.; Winkle, James J. 2 2021 On Poincaré-Friedrichs type inequalities for the broken Sobolev space \({W^{2, 1}}\). Zbl 1488.65618 Hoppe, R. H. W. 1 2021 A splitting scheme for the numerical solution of the KWC system. Zbl 1449.65289 Hoppe, R. H. W.; Winkle, J. J. 5 2019 \(\mathrm{C}^0\)-interior penalty discontinuous Galerkin approximation of a sixth-order Cahn-Hilliard equation modeling microemulsification processes. Zbl 1418.65131 Hoppe, Ronald H. W.; Linsenmann, Christopher 2 2019 Numerical solution of a phase field model for polycrystallization processes in binary mixtures. Zbl 07704876 Hoppe, Ronald H. W.; Winkle, James J. 2 2019 A two-energies principle for the biharmonic equation and an a posteriori error estimator for an interior penalty discontinous Galerkin approximation. Zbl 1419.31004 Braess, Dietrich; Hoppe, R. H. W.; Linsenmann, Christopher 5 2018 Transport at interfaces in lipid membranes and enantiomer separation. Zbl 1391.76036 Boyarkin, Oleg; Burger, Stefan; Franke, Thomas; Fraunholz, Thomas; Hoppe, Ronald H. W.; Kirschler, Simon; Lindner, Kevin; Peter, Malte A.; Strobl, Florian; Wixforth, Achim 3 2017 Optimization of plane wave directions in plane wave discontinuous Galerkin methods for the Helmholtz equation. Zbl 1376.65098 Agrawal, Akshay; Hoppe, Ronald H. W. 1 2017 Adaptive edge element approximation of \(H(\mathrm{curl}\)-elliptic optimal control problems with control constraints. Zbl 1314.49018 Hoppe, Ronald H. W.; Yousept, Irwin 7 2015 Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the biharmonic problem. Zbl 1328.65237 Fraunholz, Thomas; Hoppe, Ronald H. W.; Peter, Malte 5 2015 High order approximations in space and time of a sixth order Cahn-Hilliard equation. Zbl 1334.65153 Boyarkin, Oleg; Hoppe, Ronald H. W.; Linsenmann, Christopher 4 2015 Numerical simulation of surface acoustic wave actuated separation of rigid enantiomers by the fictitious domain Lagrange multiplier method. Zbl 1317.65203 Burger, Stefan; Franke, Thomas; Fraunholz, Thomas; Hoppe, Ronald H. W.; Peter, Malte A.; Wixforth, Achim 2 2015 Numerical simulation of surface acoustic wave actuated enantiomer separation by the finite element immersed boundary method. Zbl 1390.76820 Beleke-Maxwell, K.; Franke, T.; Hoppe, R. H. W.; Linsenmann, C. 1 2015 Dual-weighted goal-oriented adaptive finite elements for optimal control of elliptic variational inequalities. Zbl 1287.49030 Hintermüller, M.; Hoppe, R. H. W.; Löbhard, C. 13 2014 An equilibrated a posteriori error estimator for the interior penalty discontinuous Galerkin method. Zbl 1302.65239 Braess, D.; Fraunholz, T.; Hoppe, R. H. W. 12 2014 Adaptive finite elements for optimally controlled elliptic variational inequalities of obstacle type. Zbl 1318.49050 Gaevskaya, A.; Hintermüller, M.; Hoppe, R. H. W.; Löbhard, C. 6 2014 Snapshot location by error equilibration in proper orthogonal decomposition for linear and semilinear parabolic partial differential equations. Zbl 1302.65138 Hoppe, R. H. W.; Liu, Zhuo 4 2014 Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the Helmholtz equation. Zbl 1277.65087 Hoppe, R. H. W.; Sharma, N. 10 2013 Uniform convergence of local multigrid methods for the time-harmonic Maxwell equation. Zbl 1278.65167 Chen, Huangxin; Hoppe, Ronald H. W.; Xu, Xuejun 3 2013 The finite element immersed boundary method for the numerical simulation of the motion of red blood cells in microfluidic flows. Zbl 1402.92068 Hoppe, Ronald H. W.; Linsenmann, Christopher 2 2013 Numerical simulation of surface acoustic wave actuated cell sorting. Zbl 1318.92021 Franke, Thomas; Hoppe, Ronald H. W.; Linsenmann, Christopher; Zeleke, Kidist 2 2013 Optimal control of inductive heating of ferromagnetic materials. Zbl 1285.80002 Boyarkin, O.; Hoppe, R. H. W. 1 2013 Optimality of local multilevel methods for adaptive nonconforming P1 finite element methods. Zbl 1289.65274 Xu, Xuejun; Chen, Huangxin; Hoppe, R. H. W. 1 2013 A review of unified a posteriori finite element error control. Zbl 1289.65249 Carstensen, C.; Eigel, M.; Hoppe, R. H. W.; Löbhard, C. 32 2012 An adaptive Newton continuation strategy for the fully implicit finite element immersed boundary method. Zbl 1245.76076 Hoppe, R. H. W.; Linsenmann, C. 11 2012 Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips. Zbl 1252.76099 Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Linsenmann, Christopher; Wixforth, Achim 9 2012 Weak-duality based adaptive finite element methods for PDE-constrained optimization with pointwise gradient state-constraints. Zbl 1265.65122 Hintermüller, M.; Hinze, Michael; Hoppe, Ronald H. W. 8 2012 Projection based model reduction for optimal design of the time-dependent Stokes system. Zbl 1356.65156 Franke, Thomas; Hoppe, Ronald H. W.; Linsenmann, Christopher; Wixforth, Achim 1 2012 Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system. Zbl 1227.49046 Antil, H.; Heinkenschloss, M.; Hoppe, R. H. W. 23 2011 Numerical simulation of the motion of red blood cells and vesicles in microfluidic flows. Zbl 1402.92066 Franke, Thomas; Hoppe, Ronald H. W.; Linsenmann, Christopher; Schmid, Lothar; Willbold, Carina; Wixforth, Achim 12 2011 An adaptive hybridized interior penalty discontinuous Galerkin method for H(curl)-elliptic problems. Zbl 1249.65228 Carstensen, C.; Hoppe, R. H. W.; Sharma, N.; Warburton, T. 8 2011 Modeling, simulation and optimization of electrorheological fluids. Zbl 1318.76023 Hoppe, Ronald H. W.; Litvinov, William G. 3 2011 Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. Zbl 1220.65074 Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C. 22 2010 Goal-oriented adaptivity in pointwise state constrained optimal control of partial differential equations. Zbl 1208.49025 Hintermüller, Michael; Hoppe, Ronald H. W. 21 2010 Adaptive finite element methods for mixed control-state constrained optimal control problems for elliptic boundary value problems. Zbl 1208.49037 Hoppe, R. H. W.; Kieweg, M. 17 2010 Optimality of local multilevel methods on adaptively refined meshes for elliptic boundary value problems. Zbl 1194.65147 Xu, X.; Chen, H.; Hoppe, R. H. W. 11 2010 Convergence and quasi-optimality of adaptive nonconforming finite element methods for some nonsymmetric and indefinite problems. Zbl 1201.65195 Chen, Huangxin; Xu, Xuejun; Hoppe, Ronald H. W. 8 2010 Diffeomorphic matching and dynamic deformable surfaces in 3D medical imaging. Zbl 1283.49029 Azencott, R.; Glowinski, R.; He, J.; Jajoo, A.; Li, Y.; Martynenko, A.; Hoppe, R. H. W.; Benzekry, S.; Little, S. H.; Zoghbi, W. A. 6 2010 Adaptive finite element methods for the Laplace eigenvalue problem. Zbl 1222.65122 Hoppe, R. H. W.; Wu, H.; Zhang, Z. 6 2010 Modeling, simulation, and optimization of surface acoustic wave driven microfluidic biochips. Zbl 1224.65008 Antil, Harbir; Glowinski, Roland; Hoppe, Ronald H. W.; Linsenmann, Christopher; Pan, Tsorng-Whay; Wixforth, Achim 5 2010 Goal oriented mesh adaptivity for mixed control-state constrained elliptic optimal control problems. Zbl 1186.65080 Hintermüller, Michael; Hoppe, Ronald H. W. 3 2010 A posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems. Zbl 1178.65070 Hoppe, R. H. W.; Kieweg, M. 22 2009 Convergence analysis of an adaptive interior penalty discontinuous Galerkin method. Zbl 1189.65274 Hoppe, R. H. W.; Kanschat, G.; Warburton, T. 22 2009 Convergence of adaptive edge element methods for the 3D eddy currents equations. Zbl 1212.65126 Hoppe, R. H. W.; Schöberl, J. 18 2009 Error reduction in adaptive finite element approximations of elliptic obstacle problems. Zbl 1212.65246 Braess, Dietrich; Carstensen, Carsten; Hoppe, Ronald H. W. 9 2009 Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems. Zbl 1196.65171 Carstensen, C.; Hoppe, R. H. W. 5 2009 Path-following methods for shape optimal design of periodic microstructural materials. Zbl 1181.90308 Hoppe, Ronald H. W.; Petrova, Svetozara I. 1 2009 Adaptive multilevel interior-point methods in PDE constrained optimization. Zbl 1183.65075 Antil, Harbir; Hoppe, Ronald H. W.; Linsenmann, Christopher 1 2009 An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints. Zbl 1157.65039 Hintermüller, Michael; Hoppe, Ronald H. W.; Iliash, Yuri; Kieweg, Michael 58 2008 Goal-oriented adaptivity in control constrained optimal control of partial differential equations. Zbl 1167.49029 Hintermüller, M.; Hoppe, R. H. W. 36 2008 Adaptive path following primal dual interior point methods for shape optimization of linear and nonlinear Stokes flow problems. Zbl 1229.76030 Hoppe, Ronald H. W.; Linsenmann, Christopher; Antil, Harbir 4 2008 Optimal design of stationary flow problems by path-following interior-point methods. Zbl 1182.49040 Antil, Harbir; Hoppe, Ronald H. W.; Linsenmann, Christopher 3 2008 A posteriori estimators for obstacle problems by the hypercircle method. Zbl 1522.49008 Braess, Dietrich; Hoppe, Ronald H. W.; Schöberl, Joachim 1 2008 Modeling and simulation of piezoelectrically agitated acoustic streaming on microfluidic biochips. Zbl 1136.92004 Antil, Harbir; Gantner, Andreas; Hoppe, Ronald H. W.; Köster, Daniel; Siebert, Kunibert; Wixforth, Achim 1 2008 Convergence analysis of a conforming adaptive finite element method for an obstacle problem. Zbl 1126.65058 Braess, Dietrich; Carstensen, Carsten; Hoppe, Ronald H. W. 39 2007 Computational issues related to iterative coupling of subsurface and channel flows. Zbl 1150.76028 Hoppe, Ronald H. W.; Porta, Paulo; Vassilevski, Yuri 33 2007 Convergence analysis of an adaptive finite element method for distributed control problems with control constraints. Zbl 1239.49041 Gaevskaya, A.; Hoppe, R. H. W.; Iliash, Y.; Kieweg, M. 22 2007 Functional approach to a posteriori error estimation for elliptic optimal control problems with distributed control. Zbl 1202.65148 Gaevskaya, A.; Hoppe, R. H. W.; Repin, S. 6 2007 Path-following primal-dual interior-point methods for shape optimization of stationary flow problems. Zbl 1219.76018 Antil, H.; Hoppe, R. H. W.; Linsenmann, Chr. 4 2007 On the numerical solution of a semilinear elliptic eigenproblem of Lane-Emden type. II. Numerical experiments. Zbl 1153.65370 Foss, F. J. II; Glowinski, R.; Hoppe, R. H. W. 2 2007 On the numerical solution of a semilinear elliptic eigenproblem of Lane-Emden type. I: Problem formulation and description of the algorithms. Zbl 1152.65476 Foss, F. J. II.; Glowinski, R.; Hoppe, R. H. W. 2 2007 Stoer/Bulirsch: Numerical mathematics 1. 10th revised ed. (Stoer/Bulirsch: Numerische Mathematik 1.) Zbl 1129.65001 Freund, Roland W.; Hoppe, Ronald H. W. 1 2007 Model of an electro-rheological shock absorber and coupled problem for partial and ordinary differential equations with variable unknown domain. Zbl 1153.76381 Litvinov, W. G.; Rahman, T.; Hoppe, R. H. W. 1 2007 Mechanical failure in microstructural heterogeneous materials. Zbl 1137.74418 Bordas, Stéphane; Hoppe, Ronald H. W.; Petrova, Svetozara I. 1 2007 Error reduction and convergence for an adaptive mixed finite element method. Zbl 1094.65112 Carstensen, Carsten; Hoppe, R. H. W. 43 2006 Convergence analysis of an adaptive nonconforming finite element method. Zbl 1101.65102 Carstensen, Carsten; Hoppe, Ronald H. W. 41 2006 A posteriori error estimates for adaptive finite element discretizations of boundary control problems. Zbl 1104.65066 Hoppe, R. H. W.; Iliash, Y.; Iyyunni, C.; Sweilam, N. H. 22 2006 A posteriori estimates for cost functionals of optimal control problems. Zbl 1119.65344 Gaevskaya, Alexandra; Hoppe, Ronald H. W.; Repin, Sergey 6 2006 Primal-dual Newton methods in structural optimization. Zbl 1511.90421 Hoppe, Ronald H. W.; Linsenmann, Christopher; Petrova, Svetozara I. 2 2006 Shape optimization of biomorphic ceramics with microstructures by homogenization modeling. Zbl 1366.74058 Hoppe, Ronald H. W.; Petrova, Svetozara I. 1 2006 Flow of electrorheological fluid under conditions of slip on the boundary. Zbl 1138.76449 Hoppe, R. H. W.; Kuzmin, M. Y.; Litvinov, W. G.; Zvyagin, V. G. 1 2006 Convergence analysis of an adaptive edge finite element method for the 2D eddy current equations. Zbl 1073.78008 Carstensen, C.; Hoppe, R. H. W. 16 2005 Additive Schwarz methods for the Crouzeix-Raviart mortar finite element for elliptic problems with discontinuous coefficients. Zbl 1087.65117 Rahman, Talal; Xu, Xuejun; Hoppe, Ronald 14 2005 Coupled problems on stationary non-isothermal flow of electrorheological fluids. Zbl 1109.76068 Litvinov, W. G.; Hoppe, R. H. W. 2 2005 Problems of stationary flow of electrorheological fluids in a cylindrical coordinate system. Zbl 1075.35051 Hoppe, R. H. W.; Litvinov, W. G.; Rahman, T. 2 2005 On the convergence of mortar edge element methods in \(\mathbb R^3\). Zbl 1095.65096 Xu, Xuejun; Hoppe, R. H. W. 2 2005 On an additive Schwarz preconditioner for the Crouzeix-Raviart mortar finite element. Zbl 1067.65050 Rahman, Talal; Xu, Xuejun; Hoppe, Ronald H. W. 1 2005 Domain decomposition methods in science and engineering. XV. Selected papers of the 15th international conference on domain decomposition, Berlin, Germany, July 21–25, 2003. Zbl 1049.65003 1 2005 Primal-dual Newton interior point methods in shape and topology optimization. Zbl 1164.90421 Hoppe, R. H. W.; Petrova, S. I. 7 2004 Optimal shape design in biomimetics based on homogenization and adaptivity. Zbl 1106.74390 Hoppe, Ronald H. W.; Petrova, Svetozara I. 5 2004 Problems on electrorheological fluid flows. Zbl 1083.35112 Hoppe, Ronald H. W.; Litvinov, William G. 4 2004 Adaptive multigrid and domain decomposition methods in the computation of electromagnetic fields. Zbl 1107.78014 Hoppe, R. H. W. 4 2004 Numerical solution of a nonlinear evolution equation describing amorphous surface growth of thin films. Zbl 1163.35412 Hoppe, Ronald H. W.; Nash, Eva 2 2004 Homogenization design method for biomorphic composite materials. Zbl 1309.74062 Hoppe, Ronald H. W.; Petrova, Svetozara I. 1 2004 Adaptive grid refinement for computation of the homogenized elasticity tensor. Zbl 1151.65326 Hoppe, Ronald H. W.; Petrova, Svetozara I.; Vassilevski, Yuri V. 1 2004 Computational electromagnetics. Proceedings of the GAMM workshop on computational electromagnetics, Kiel, Germany, January 26–28, 2001. Zbl 1007.78001 7 2003 Adaptive domain decomposition techniques in electromagnetic field computation and electrothermomechanical coupling problems. Zbl 1114.78013 Hoppe, R. H. W. 2 2003 Applications of primal-dual interior methods in structural optimization. Zbl 1098.90070 Hoppe, Ronald H. W.; Petrova, Svetozara I. 2 2003 Homogenized elasticity solvers for biomorphic microcellular ceramics. Zbl 1254.74094 Hoppe, R. H. W.; Petrova, S. I. 1 2003 Problem on stationary flow of electrorheological fluids under the conditions of nonhomogeneous temperature distribution. Zbl 1201.35158 Hoppe, R. H. W; Litvinov, W. G. 1 2003 Optimal design of high power electronic devices by topology optimization. Zbl 1077.94525 Hoppe, Ronald H. W.; Böhm, Peter; Mazurkevitch, George; Petrova, Svetozara; Wachutka, Gerhard; Wolfgang, Eckhard 1 2003 Primal-dual Newton-type interior-point method for topology optimization. Zbl 1026.90108 Hoppe, R. H. W.; Petrova, S. I.; Schulz, V. 10 2002 A combined spectral element/finite element approach to the numerical solution of a nonlinear evolution equation describing amorphous surface growth of thin films. Zbl 1004.65099 Hoppe, R. H. W.; Nash, E. M. 5 2002 Topology optimization of high power electronic devices. Zbl 1026.78018 Hoppe, Ronald H. W.; Petrova, Svetozara; Schulz, Volker 2 2002 3D structural optimization in electromagnetics. Zbl 1037.78024 Hoppe, R. H. W.; Petrova, S.; Schulz, V. 1 2002 Residual based a posteriori error estimators for eddy current computation. Zbl 0949.65113 Beck, Rudi; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara 95 2000 Numerical simulation of electrorheological fluids based on an extended Bingham model. Zbl 1094.76534 Engelmann, B.; Hiptmair, R.; Hoppe, R. H. W.; Mazurkevitch, G. 2 2000 A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements. Zbl 0929.65094 Wohlmuth, Barbara I.; Hoppe, Ronald H. W. 47 1999 Adaptive multilevel methods for edge element discretizations of Maxwell’s equations. Zbl 0939.65136 Beck, Rudolf; Deuflhard, Peter; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara 25 1999 ...and 28 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,098 Authors 47 Hoppe, Ronald H. W. 28 Carstensen, Carsten 23 Li, Jichun 15 Huang, Yunqing 14 He, Xiaoming 13 Hintermüller, Michael 13 Nicaise, Serge 12 Yang, Wei 11 Linsenmann, Christopher 10 Chen, Yanping 10 Rahman, Talal 10 Yousept, Irwin 10 Zou, Jun 9 Gudi, Thirupathi 9 Otárola, Enrique 9 Wohlmuth, Barbara I. 9 Yan, Ningning 9 Zeng, Jinping 8 Burman, Erik 8 Hu, Jun 8 Marcinkowski, Leszek 8 Stephan, Ernst Peter 7 Cheng, Xiaoliang 7 Du, Shaohong 7 Repin, Sergeĭ Igorevich 7 Schöberl, Joachim 7 Xu, Jinchao 7 Xu, Xuejun 7 Xu, Yifeng 7 Zheng, Weiying 7 Zhong, Liuqiang 6 Allendes, Alejandro 6 Antil, Harbir 6 Boffi, Daniele 6 Brenner, Susanne Cecelia 6 Cai, Zhiqiang 6 Chaumont-Frelet, Théophile 6 Chen, Jinru 6 Chen, Long 6 Ern, Alexandre 6 Han, Weimin 6 Heinkenschloss, Matthias 6 Kornhuber, Ralf 6 Leng, Haitao 6 Li, Jian 6 Lu, Zuliang 6 Merdon, Christian 6 Porwal, Kamana 6 Praetorius, Dirk 6 Vohralík, Martin 6 Xie, Xiaoping 6 Zhou, Zhaojie 5 Benner, Peter 5 Braess, Dietrich 5 Chen, Zhangxin 5 Creusé, Emmanuel 5 Franke, Thomas 5 Führer, Thomas 5 Gedicke, Joscha 5 Gong, Wei 5 Gunzburger, Max D. 5 Hinze, Michael 5 Mao, Shipeng 5 Petrova, Svetozara I. 5 Rademacher, Andreas 5 Rankin, Richard 5 Shi, Zhongci 5 Sung, Li-Yeng 5 Tang, Yuelong 5 Vexler, Boris 5 Wang, Feng 5 Wolfmayr, Monika 5 Zhou, Shuzi 4 Aulisa, Eugenio 4 Barrios, Tomás P. 4 Cao, Shuhao 4 Chen, Junqing 4 Chen, Zhiming 4 Choi, Youngsoo 4 Eigel, Martin 4 Fuica, Francisco 4 Gastaldi, Lucia 4 Gugercin, Serkan 4 Günther, Andreas 4 Hansbo, Peter 4 Hiptmair, Ralf 4 Huang, Fenglin 4 Huang, Xuehai 4 Jiang, Xue 4 Kim, Kwang Yeon 4 Kunisch, Karl 4 Langer, Ulrich 4 Leydecker, Florian 4 Nataraj, Neela 4 Nochetto, Ricardo Horacio 4 Park, Eun-Jae 4 Rösch, Arnd 4 Salgado, Abner J. 4 Schroder, Andreas 4 Shu, Shi ...and 998 more Authors all top 5 Cited in 139 Serials 51 Computer Methods in Applied Mechanics and Engineering 49 Journal of Computational and Applied Mathematics 47 Mathematics of Computation 47 Journal of Scientific Computing 45 Numerische Mathematik 40 Computers & Mathematics with Applications 27 SIAM Journal on Numerical Analysis 23 SIAM Journal on Scientific Computing 21 Journal of Computational Physics 21 Numerical Methods for Partial Differential Equations 19 Applied Numerical Mathematics 18 Computational Optimization and Applications 15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Computational Methods in Applied Mathematics 12 Applied Mathematics and Computation 10 Advances in Computational Mathematics 9 Journal of Numerical Mathematics 8 Journal of Optimization Theory and Applications 8 Computing and Visualization in Science 8 Optimization Methods & Software 8 Science China. 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