Edit Profile (opens in new tab) Hoppe, Ronald H. W. Compute Distance To: Compute 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: 157 Publications since 1981, including 1 Book 15 Contributions as Editor Reviewing Activity: 156 Reviews Co-Authors: 123 Co-Authors with 147 Joint Publications 3,686 Co-Co-Authors all top 5 Co-Authors 23 single-authored 20 Petrova, Svetozara I. 16 Linsenmann, Christopher 14 Wohlmuth, Barbara I. 10 Hiptmair, Ralf 9 Antil, Harbir 9 Carstensen, Carsten 8 Litvinov, William G. 8 Wixforth, Achim 8 Xu, Xuejun 7 Franke, Thomas 7 Hintermüller, Michael 7 Kornhuber, Ralf 7 Schulz, Volker H. 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 3 Boyarkin, Oleg M. 3 Gaevskaya, Alexandra 3 Joly, Patrick 3 Löbhard, Caroline 3 Winkle, James J. 2 Bhandari, Chandi 2 Braess, Dietrich 2 Braess, Dietrich 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 Wachutka, Gerhard 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, A. 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. 1 Rüde, Ulrich ...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 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 Russian Journal of Numerical Analysis and Mathematical Modelling 3 Computing and Visualization in Science 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 Applied Numerical Mathematics 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 129 Numerical analysis (65-XX) 71 Partial differential equations (35-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 30 Fluid mechanics (76-XX) 28 Optics, electromagnetic theory (78-XX) 27 Mechanics of deformable solids (74-XX) 25 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 120 Publications have been cited 1,115 times in 727 Documents Cited by ▼ Year ▼ Residual based a posteriori error estimators for eddy current computation. Zbl 0949.65113Beck, Rudi; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara 86 2000 Adaptive multilevel methods for obstacle problems. Zbl 0806.65064Hoppe, R. H. W.; Kornhuber, R. 52 1994 An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints. Zbl 1157.65039Hintermüller, Michael; Hoppe, Ronald H. W.; Iliash, Yuri; Kieweg, Michael 51 2008 Multigrid algorithms for variational inequalities. Zbl 0628.65046Hoppe, Ronald H. W. 49 1987 A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements. Zbl 0929.65094Wohlmuth, Barbara I.; Hoppe, Ronald H. W. 44 1999 Error reduction and convergence for an adaptive mixed finite element method. Zbl 1094.65112Carstensen, Carsten; Hoppe, R. H. W. 43 2006 Convergence analysis of an adaptive nonconforming finite element method. Zbl 1101.65102Carstensen, Carsten; Hoppe, Ronald H. W. 39 2006 Convergence analysis of a conforming adaptive finite element method for an obstacle problem. Zbl 1126.65058Braess, Dietrich; Carstensen, Carsten; Hoppe, Ronald H. W. 35 2007 Computational issues related to iterative coupling of subsurface and channel flows. Zbl 1150.76028Hoppe, Ronald H. W.; Porta, Paulo; Vassilevski, Yuri 33 2007 Goal-oriented adaptivity in control constrained optimal control of partial differential equations. Zbl 1167.49029Hintermüller, M.; Hoppe, R. H. W. 32 2008 Element-oriented and edge-oriented local error estimators for nonconforming finite element methods. Zbl 0843.65075Hoppe, Ronald H. W.; Wohlmuth, Barbara 31 1996 A review of unified a posteriori finite element error control. Zbl 1289.65249Carstensen, C.; Eigel, M.; Hoppe, R. H. W.; Löbhard, C. 28 2012 Adaptive multilevel methods for edge element discretizations of Maxwell’s equations. Zbl 0939.65136Beck, Rudolf; Deuflhard, Peter; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara 25 1999 Multi-grid methods for Hamilton-Jacobi-Bellman equations. Zbl 0577.65088Hoppe, Ronald H. W. 23 1986 Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system. Zbl 1227.49046Antil, H.; Heinkenschloss, M.; Hoppe, R. H. W. 21 2011 A posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems. Zbl 1178.65070Hoppe, R. H. W.; Kieweg, M. 19 2009 Goal-oriented adaptivity in pointwise state constrained optimal control of partial differential equations. Zbl 1208.49025Hintermüller, Michael; Hoppe, Ronald H. W. 19 2010 Convergence analysis of an adaptive interior penalty discontinuous Galerkin method. Zbl 1189.65274Hoppe, R. H. W.; Kanschat, G.; Warburton, T. 19 2009 Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. Zbl 1220.65074Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C. 19 2010 Convergence analysis of an adaptive finite element method for distributed control problems with control constraints. Zbl 1239.49041Gaevskaya, A.; Hoppe, R. H. W.; Iliash, Y.; Kieweg, M. 19 2007 A posteriori error estimates for adaptive finite element discretizations of boundary control problems. Zbl 1104.65066Hoppe, R. H. W.; Iliash, Y.; Iyyunni, C.; Sweilam, N. H. 17 2006 Adaptive multilevel techniques for mixed finite element discretizations of elliptic boundary value problems. Zbl 0889.65124Hoppe, 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 1208.49037Hoppe, R. H. W.; Kieweg, M. 16 2010 Convergence of adaptive edge element methods for the 3D eddy currents equations. Zbl 1212.65126Hoppe, R. H. W.; Schöberl, J. 16 2009 Convergence analysis of an adaptive edge finite element method for the 2D eddy current equations. Zbl 1073.78008Carstensen, C.; Hoppe, R. H. W. 15 2005 Additive Schwarz methods for the Crouzeix-Raviart mortar finite element for elliptic problems with discontinuous coefficients. Zbl 1087.65117Rahman, Talal; Xu, Xuejun; Hoppe, Ronald 12 2005 Dual-weighted goal-oriented adaptive finite elements for optimal control of elliptic variational inequalities. Zbl 1287.49030Hintermüller, M.; Hoppe, R. H. W.; Löbhard, C. 12 2014 An equilibrated a posteriori error estimator for the interior penalty discontinuous Galerkin method. Zbl 1302.65239Braess, D.; Fraunholz, T.; Hoppe, R. H. W. 11 2014 Optimality of local multilevel methods on adaptively refined meshes for elliptic boundary value problems. Zbl 1194.65147Xu, X.; Chen, H.; Hoppe, R. H. W. 11 2010 Numerical simulation of the motion of red blood cells and vesicles in microfluidic flows. Zbl 1402.92066Franke, Thomas; Hoppe, Ronald H. W.; Linsenmann, Christopher; Schmid, Lothar; Willbold, Carina; Wixforth, Achim 10 2011 Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips. Zbl 1252.76099Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Linsenmann, Christopher; Wixforth, Achim 9 2012 A multi-grid continuation strategy for parameter-dependent variational inequalities. Zbl 0671.65047Hoppe, Ronald H. W.; Mittelmann, Hans D. 9 1989 Primal-dual Newton-type interior-point method for topology optimization. Zbl 1026.90108Hoppe, R. H. W.; Petrova, S. I.; Schulz, V. 9 2002 An adaptive Newton continuation strategy for the fully implicit finite element immersed boundary method. Zbl 1245.76076Hoppe, R. H. W.; Linsenmann, C. 9 2012 Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the Helmholtz equation. Zbl 1277.65087Hoppe, R. H. W.; Sharma, N. 9 2013 Two-sided approximations for unilateral variational inequalities by multi-grid methods. Zbl 0635.49006Hoppe, R. H. W. 8 1987 Error reduction in adaptive finite element approximations of elliptic obstacle problems. Zbl 1212.65246Braess, Dietrich; Carstensen, Carsten; Hoppe, Ronald H. W. 8 2009 Multilevel methods for mixed finite elements in three dimensions. Zbl 0929.65124Hiptmair, Ralf; Hoppe, Ronald H. W. 7 1999 Adaptive edge element approximation of \(H(\mathrm{curl}\)-elliptic optimal control problems with control constraints. Zbl 1314.49018Hoppe, Ronald H. W.; Yousept, Irwin 7 2015 Convergence and quasi-optimality of adaptive nonconforming finite element methods for some nonsymmetric and indefinite problems. Zbl 1201.65195Chen, Huangxin; Xu, Xuejun; Hoppe, Ronald H. W. 7 2010 Primal-dual Newton interior point methods in shape and topology optimization. Zbl 1164.90421Hoppe, R. H. W.; Petrova, S. I. 6 2004 Weak-duality based adaptive finite element methods for PDE-constrained optimization with pointwise gradient state-constraints. Zbl 1265.65122Hintermüller, M.; Hinze, Michael; Hoppe, Ronald H. W. 6 2012 Analysis and parallel implementation of adaptive mortar element methods. Zbl 0913.65098Hoppe, R.; Iliash, Yu.; Kuznetsov, Yu.; Vassilevski, Yu.; Wohlmuth, B. 6 1998 Adaptive finite element methods for the Laplace eigenvalue problem. Zbl 1222.65122Hoppe, R. H. W.; Wu, H.; Zhang, Z. 6 2010 A splitting scheme for the numerical solution of the KWC system. Zbl 1449.65289Hoppe, R. H. W.; Winkle, J. J. 5 2019 Adaptive finite elements for optimally controlled elliptic variational inequalities of obstacle type. Zbl 1318.49050Gaevskaya, A.; Hintermüller, M.; Hoppe, R. H. W.; Löbhard, C. 5 2014 A combined spectral element/finite element approach to the numerical solution of a nonlinear evolution equation describing amorphous surface growth of thin films. Zbl 1004.65099Hoppe, R. H. W.; Nash, E. M. 5 2002 Computational electromagnetics. Proceedings of the GAMM workshop on computational electromagnetics, Kiel, Germany, January 26–28, 2001. Zbl 1007.78001 5 2003 Diffeomorphic matching and dynamic deformable surfaces in 3D medical imaging. Zbl 1283.49029Azencott, R.; Glowinski, R.; He, J.; Jajoo, A.; Li, Y.; Martynenko, A.; Hoppe, R. H. W.; Benzekry, S.; Little, S. H.; Zoghbi, W. A. 5 2010 Adaptive multilevel iterative techniques for nonconforming finite element discretizations. Zbl 0836.65127Hoppe, R. H. W.; Wohlmuth, B. 5 1995 Functional approach to a posteriori error estimation for elliptic optimal control problems with distributed control. Zbl 1202.65148Gaevskaya, A.; Hoppe, R. H. W.; Repin, S. 5 2007 A posteriori estimates for cost functionals of optimal control problems. Zbl 1119.65344Gaevskaya, Alexandra; Hoppe, Ronald H. W.; Repin, Sergey 5 2006 Adaptive multigrid and domain decomposition methods in the computation of electromagnetic fields. Zbl 1107.78014Hoppe, R. H. W. 4 2004 Mortar edge element methods in \(\mathbb{R}^3\). Zbl 0944.65118Hoppe, R. H. W. 4 1999 Efficient numerical solution of mixed finite element discretizations by adaptive multilevel methods. Zbl 0833.65131Hoppe, Ronald H. W.; Wohlmuth, Barbara 4 1995 A two-energies principle for the biharmonic equation and an a posteriori error estimator for an interior penalty discontinous Galerkin approximation. Zbl 1419.31004Braess, Dietrich; Hoppe, R. H. W.; Linsenmann, Christopher 4 2018 Hierarchical basis error estimators for Raviart-Thomas discretizations of arbitrary order. Zbl 0902.65051Hoppe, R. H. W.; Wohlmuth, B. 4 1998 Snapshot location by error equilibration in proper orthogonal decomposition for linear and semilinear parabolic partial differential equations. Zbl 1302.65138Hoppe, R. H. W.; Liu, Zhuo 4 2014 Adaptive finite element methods for variational inequalities. Zbl 0835.65088Erdmann, B.; Frei, M.; Hoppe, R. H. W.; Kornhuber, R.; Wiest, U. 4 1993 Multi-grid solutions to the elastic plastic torsion problem in multiply connected domains. Zbl 0703.73091Hoppe, Ronald H. W. 4 1988 Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems. Zbl 1196.65171Carstensen, C.; Hoppe, R. H. W. 4 2009 High order approximations in space and time of a sixth order Cahn-Hilliard equation. Zbl 1334.65153Boyarkin, Oleg; Hoppe, Ronald H. W.; Linsenmann, Christopher 4 2015 Discrete approximations of cosine operator functions. I. Zbl 0545.65038Hoppe, Ronald H. W. 4 1982 Interpolation of cosine operator functions. Zbl 0562.47035Hoppe, Ronald H. W. 4 1984 Adaptive path following primal dual interior point methods for shape optimization of linear and nonlinear Stokes flow problems. Zbl 1229.76030Hoppe, Ronald H. W.; Linsenmann, Christopher; Antil, Harbir 4 2008 Modeling, simulation, and optimization of surface acoustic wave driven microfluidic biochips. Zbl 1224.65008Antil, Harbir; Glowinski, Roland; Hoppe, Ronald H. W.; Linsenmann, Christopher; Pan, Tsorng-Whay; Wixforth, Achim 4 2010 Path-following primal-dual interior-point methods for shape optimization of stationary flow problems. Zbl 1219.76018Antil, H.; Hoppe, R. H. W.; Linsenmann, Chr. 4 2007 Optimal shape design in biomimetics based on homogenization and adaptivity. Zbl 1106.74390Hoppe, Ronald H. W.; Petrova, Svetozara I. 3 2004 Transport at interfaces in lipid membranes and enantiomer separation. Zbl 1391.76036Boyarkin, Oleg; Burger, Stefan; Franke, Thomas; Fraunholz, Thomas; Hoppe, Ronald H. W.; Kirschler, Simon; Lindner, Kevin; Peter, Malte A.; Strobl, Florian; Wixforth, Achim 3 2017 An adaptive hybridized interior penalty discontinuous Galerkin method for H(curl)-elliptic problems. Zbl 1249.65228Carstensen, C.; Hoppe, R. H. W.; Sharma, N.; Warburton, T. 3 2011 Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the biharmonic problem. Zbl 1328.65237Fraunholz, Thomas; Hoppe, Ronald H. W.; Peter, Malte 3 2015 Problems on electrorheological fluid flows. Zbl 1083.35112Hoppe, Ronald H. W.; Litvinov, William G. 3 2004 Optimal design of stationary flow problems by path-following interior-point methods. Zbl 1182.49040Antil, Harbir; Hoppe, Ronald H. W.; Linsenmann, Christopher 3 2008 Multi-grid solution of two coupled Stefan equations arising in induction heating of large steel slabs. Zbl 0723.65137Hoppe, Ronald H. W.; Kornhuber, Ralf 3 1990 Uniform convergence of local multigrid methods for the time-harmonic Maxwell equation. Zbl 1278.65167Chen, Huangxin; Hoppe, Ronald H. W.; Xu, Xuejun 3 2013 Modeling, simulation and optimization of electrorheological fluids. Zbl 1318.76023Hoppe, Ronald H. W.; Litvinov, William G. 3 2011 A globally convergent multi-grid algorithm for moving boundary problems of two-phase Stefan type. Zbl 0771.65085Hoppe, Ronald H. W. 2 1993 Coupled problems on stationary non-isothermal flow of electrorheological fluids. Zbl 1109.76068Litvinov, W. G.; Hoppe, R. H. W. 2 2005 Problems of stationary flow of electrorheological fluids in a cylindrical coordinate system. Zbl 1075.35051Hoppe, R. H. W.; Litvinov, W. G.; Rahman, T. 2 2005 On the convergence of mortar edge element methods in \(\mathbb R^3\). Zbl 1095.65096Xu, Xuejun; 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 1317.65203Burger, Stefan; Franke, Thomas; Fraunholz, Thomas; Hoppe, Ronald H. W.; Peter, Malte A.; Wixforth, Achim 2 2015 Une méthode multigrille pour la solution des problèmes d’obstacle. (A multi-grid method for the solution of obstacle problems). Zbl 0716.65056Hoppe, Ronald H. W. 2 1990 Multilevel iterative solution and adaptive mesh refinement for mixed finite element discretizations. Zbl 0879.65083Hoppe, Ronald H. W.; Wohlmuth, Barbara 2 1997 Numerical solution of a nonlinear evolution equation describing amorphous surface growth of thin films. Zbl 1163.35412Hoppe, Ronald H. W.; Nash, Eva 2 2004 A constructive approach to the Bellman semigroup. Zbl 0588.49017Hoppe, Ronald H. W. 2 1985 Representation of fractional powers of infinitesimal generators of cosine operator functions. Zbl 0562.47034Hoppe, Ronald H. W. 2 1984 On the numerical solution of a semilinear elliptic eigenproblem of Lane-Emden type. II. Numerical experiments. Zbl 1153.65370Foss, F. J. II; Glowinski, R.; Hoppe, R. H. W. 2 2007 Goal oriented mesh adaptivity for mixed control-state constrained elliptic optimal control problems. Zbl 1186.65080Hintermüller, Michael; Hoppe, Ronald H. W. 2 2010 On the numerical solution of a semilinear elliptic eigenproblem of Lane-Emden type. I: Problem formulation and description of the algorithms. Zbl 1152.65476Foss, F. J. II.; Glowinski, R.; Hoppe, R. H. W. 2 2007 The finite element immersed boundary method for the numerical simulation of the motion of red blood cells in microfluidic flows. Zbl 1402.92068Hoppe, Ronald H. W.; Linsenmann, Christopher 2 2013 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 07609839Hoppe, Ronald H. W. 1 2022 On Poincaré-Friedrichs type inequalities for the broken Sobolev space \({W^{2, 1}}\). Zbl 1488.65618Hoppe, R. H. W. 1 2021 Stoer/Bulirsch: Numerical mathematics 1. 10th revised ed. (Stoer/Bulirsch: Numerische Mathematik 1.) Zbl 1129.65001Freund, Roland W.; Hoppe, Ronald H. W. 1 2007 Numerical computation of the value function of optimally controlled stochastic switching processes by multi-grid techniques. Zbl 0651.65053Bloß, Martina; Hoppe, Ronald H. W. 1 1989 Multigrid methods for the two-phase Stefan problem. Zbl 0655.65137Hoppe, Ronald H. W.; Kornhuber, Ralf 1 1988 Projection based model reduction for optimal design of the time-dependent Stokes system. Zbl 1356.65156Franke, Thomas; Hoppe, Ronald H. W.; Linsenmann, Christopher; Wixforth, Achim 1 2012 Adaptive domain decomposition techniques in electromagnetic field computation and electrothermomechanical coupling problems. Zbl 1114.78013Hoppe, R. H. W. 1 2003 Adaptive mixed hybrid and macro-hybrid finite element methods. Zbl 0933.65134Hoppe, R. H. W.; Wohlmuth, B. I. 1 1998 Optimization of plane wave directions in plane wave discontinuous Galerkin methods for the Helmholtz equation. Zbl 1376.65098Agrawal, Akshay; Hoppe, Ronald H. W. 1 2017 Shape optimization of biomorphic ceramics with microstructures by homogenization modeling. Zbl 1366.74058Hoppe, Ronald H. W.; Petrova, Svetozara I. 1 2006 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 07609839Hoppe, Ronald H. W. 1 2022 On Poincaré-Friedrichs type inequalities for the broken Sobolev space \({W^{2, 1}}\). Zbl 1488.65618Hoppe, R. H. W. 1 2021 Numerical simulation of the formation of spherulites in polycrystalline binary mixtures. Zbl 1467.82093Hoppe, Ronald H. W.; Pahari, Basanta R.; Winkle, James J. 1 2021 A splitting scheme for the numerical solution of the KWC system. Zbl 1449.65289Hoppe, R. H. W.; Winkle, J. J. 5 2019 A two-energies principle for the biharmonic equation and an a posteriori error estimator for an interior penalty discontinous Galerkin approximation. Zbl 1419.31004Braess, Dietrich; Hoppe, R. H. W.; Linsenmann, Christopher 4 2018 Transport at interfaces in lipid membranes and enantiomer separation. Zbl 1391.76036Boyarkin, 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 1376.65098Agrawal, Akshay; Hoppe, Ronald H. W. 1 2017 Adaptive edge element approximation of \(H(\mathrm{curl}\)-elliptic optimal control problems with control constraints. Zbl 1314.49018Hoppe, Ronald H. W.; Yousept, Irwin 7 2015 High order approximations in space and time of a sixth order Cahn-Hilliard equation. Zbl 1334.65153Boyarkin, Oleg; Hoppe, Ronald H. W.; Linsenmann, Christopher 4 2015 Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the biharmonic problem. Zbl 1328.65237Fraunholz, Thomas; Hoppe, Ronald H. W.; Peter, Malte 3 2015 Numerical simulation of surface acoustic wave actuated separation of rigid enantiomers by the fictitious domain Lagrange multiplier method. Zbl 1317.65203Burger, 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 1390.76820Beleke-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 1287.49030Hintermüller, M.; Hoppe, R. H. W.; Löbhard, C. 12 2014 An equilibrated a posteriori error estimator for the interior penalty discontinuous Galerkin method. Zbl 1302.65239Braess, D.; Fraunholz, T.; Hoppe, R. H. W. 11 2014 Adaptive finite elements for optimally controlled elliptic variational inequalities of obstacle type. Zbl 1318.49050Gaevskaya, A.; Hintermüller, M.; Hoppe, R. H. W.; Löbhard, C. 5 2014 Snapshot location by error equilibration in proper orthogonal decomposition for linear and semilinear parabolic partial differential equations. Zbl 1302.65138Hoppe, R. H. W.; Liu, Zhuo 4 2014 Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the Helmholtz equation. Zbl 1277.65087Hoppe, R. H. W.; Sharma, N. 9 2013 Uniform convergence of local multigrid methods for the time-harmonic Maxwell equation. Zbl 1278.65167Chen, 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 1402.92068Hoppe, Ronald H. W.; Linsenmann, Christopher 2 2013 Numerical simulation of surface acoustic wave actuated cell sorting. Zbl 1318.92021Franke, Thomas; Hoppe, Ronald H. W.; Linsenmann, Christopher; Zeleke, Kidist 1 2013 Optimality of local multilevel methods for adaptive nonconforming P1 finite element methods. Zbl 1289.65274Xu, Xuejun; Chen, Huangxin; Hoppe, R. H. W. 1 2013 Optimal control of inductive heating of ferromagnetic materials. Zbl 1285.80002Boyarkin, O.; Hoppe, R. H. W. 1 2013 A review of unified a posteriori finite element error control. Zbl 1289.65249Carstensen, C.; Eigel, M.; Hoppe, R. H. W.; Löbhard, C. 28 2012 Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips. Zbl 1252.76099Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Linsenmann, Christopher; Wixforth, Achim 9 2012 An adaptive Newton continuation strategy for the fully implicit finite element immersed boundary method. Zbl 1245.76076Hoppe, R. H. W.; Linsenmann, C. 9 2012 Weak-duality based adaptive finite element methods for PDE-constrained optimization with pointwise gradient state-constraints. Zbl 1265.65122Hintermüller, M.; Hinze, Michael; Hoppe, Ronald H. W. 6 2012 Projection based model reduction for optimal design of the time-dependent Stokes system. Zbl 1356.65156Franke, 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 1227.49046Antil, H.; Heinkenschloss, M.; Hoppe, R. H. W. 21 2011 Numerical simulation of the motion of red blood cells and vesicles in microfluidic flows. Zbl 1402.92066Franke, Thomas; Hoppe, Ronald H. W.; Linsenmann, Christopher; Schmid, Lothar; Willbold, Carina; Wixforth, Achim 10 2011 An adaptive hybridized interior penalty discontinuous Galerkin method for H(curl)-elliptic problems. Zbl 1249.65228Carstensen, C.; Hoppe, R. H. W.; Sharma, N.; Warburton, T. 3 2011 Modeling, simulation and optimization of electrorheological fluids. Zbl 1318.76023Hoppe, Ronald H. W.; Litvinov, William G. 3 2011 Goal-oriented adaptivity in pointwise state constrained optimal control of partial differential equations. Zbl 1208.49025Hintermüller, Michael; Hoppe, Ronald H. W. 19 2010 Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. Zbl 1220.65074Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C. 19 2010 Adaptive finite element methods for mixed control-state constrained optimal control problems for elliptic boundary value problems. Zbl 1208.49037Hoppe, R. H. W.; Kieweg, M. 16 2010 Optimality of local multilevel methods on adaptively refined meshes for elliptic boundary value problems. Zbl 1194.65147Xu, 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 1201.65195Chen, Huangxin; Xu, Xuejun; Hoppe, Ronald H. W. 7 2010 Adaptive finite element methods for the Laplace eigenvalue problem. Zbl 1222.65122Hoppe, R. H. W.; Wu, H.; Zhang, Z. 6 2010 Diffeomorphic matching and dynamic deformable surfaces in 3D medical imaging. Zbl 1283.49029Azencott, R.; Glowinski, R.; He, J.; Jajoo, A.; Li, Y.; Martynenko, A.; Hoppe, R. H. W.; Benzekry, S.; Little, S. H.; Zoghbi, W. A. 5 2010 Modeling, simulation, and optimization of surface acoustic wave driven microfluidic biochips. Zbl 1224.65008Antil, Harbir; Glowinski, Roland; Hoppe, Ronald H. W.; Linsenmann, Christopher; Pan, Tsorng-Whay; Wixforth, Achim 4 2010 Goal oriented mesh adaptivity for mixed control-state constrained elliptic optimal control problems. Zbl 1186.65080Hintermüller, Michael; Hoppe, Ronald H. W. 2 2010 A posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems. Zbl 1178.65070Hoppe, R. H. W.; Kieweg, M. 19 2009 Convergence analysis of an adaptive interior penalty discontinuous Galerkin method. Zbl 1189.65274Hoppe, R. H. W.; Kanschat, G.; Warburton, T. 19 2009 Convergence of adaptive edge element methods for the 3D eddy currents equations. Zbl 1212.65126Hoppe, R. H. W.; Schöberl, J. 16 2009 Error reduction in adaptive finite element approximations of elliptic obstacle problems. Zbl 1212.65246Braess, Dietrich; Carstensen, Carsten; Hoppe, Ronald H. W. 8 2009 Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems. Zbl 1196.65171Carstensen, C.; Hoppe, R. H. W. 4 2009 Path-following methods for shape optimal design of periodic microstructural materials. Zbl 1181.90308Hoppe, Ronald H. W.; Petrova, Svetozara I. 1 2009 Adaptive multilevel interior-point methods in PDE constrained optimization. Zbl 1183.65075Antil, 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 1157.65039Hintermüller, Michael; Hoppe, Ronald H. W.; Iliash, Yuri; Kieweg, Michael 51 2008 Goal-oriented adaptivity in control constrained optimal control of partial differential equations. Zbl 1167.49029Hintermüller, M.; Hoppe, R. H. W. 32 2008 Adaptive path following primal dual interior point methods for shape optimization of linear and nonlinear Stokes flow problems. Zbl 1229.76030Hoppe, Ronald H. W.; Linsenmann, Christopher; Antil, Harbir 4 2008 Optimal design of stationary flow problems by path-following interior-point methods. Zbl 1182.49040Antil, Harbir; Hoppe, Ronald H. W.; Linsenmann, Christopher 3 2008 Modeling and simulation of piezoelectrically agitated acoustic streaming on microfluidic biochips. Zbl 1136.92004Antil, 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 1126.65058Braess, Dietrich; Carstensen, Carsten; Hoppe, Ronald H. W. 35 2007 Computational issues related to iterative coupling of subsurface and channel flows. Zbl 1150.76028Hoppe, 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 1239.49041Gaevskaya, A.; Hoppe, R. H. W.; Iliash, Y.; Kieweg, M. 19 2007 Functional approach to a posteriori error estimation for elliptic optimal control problems with distributed control. Zbl 1202.65148Gaevskaya, A.; Hoppe, R. H. W.; Repin, S. 5 2007 Path-following primal-dual interior-point methods for shape optimization of stationary flow problems. Zbl 1219.76018Antil, 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 1153.65370Foss, 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 1152.65476Foss, 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 1129.65001Freund, Roland W.; Hoppe, Ronald H. W. 1 2007 Mechanical failure in microstructural heterogeneous materials. Zbl 1137.74418Bordas, Stéphane; Hoppe, Ronald H. W.; Petrova, Svetozara I. 1 2007 Model of an electro-rheological shock absorber and coupled problem for partial and ordinary differential equations with variable unknown domain. Zbl 1153.76381Litvinov, W. G.; Rahman, T.; Hoppe, R. H. W. 1 2007 Error reduction and convergence for an adaptive mixed finite element method. Zbl 1094.65112Carstensen, Carsten; Hoppe, R. H. W. 43 2006 Convergence analysis of an adaptive nonconforming finite element method. Zbl 1101.65102Carstensen, Carsten; Hoppe, Ronald H. W. 39 2006 A posteriori error estimates for adaptive finite element discretizations of boundary control problems. Zbl 1104.65066Hoppe, R. H. W.; Iliash, Y.; Iyyunni, C.; Sweilam, N. H. 17 2006 A posteriori estimates for cost functionals of optimal control problems. Zbl 1119.65344Gaevskaya, Alexandra; Hoppe, Ronald H. W.; Repin, Sergey 5 2006 Shape optimization of biomorphic ceramics with microstructures by homogenization modeling. Zbl 1366.74058Hoppe, Ronald H. W.; Petrova, Svetozara I. 1 2006 Flow of electrorheological fluid under conditions of slip on the boundary. Zbl 1138.76449Hoppe, 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 1073.78008Carstensen, C.; Hoppe, R. H. W. 15 2005 Additive Schwarz methods for the Crouzeix-Raviart mortar finite element for elliptic problems with discontinuous coefficients. Zbl 1087.65117Rahman, Talal; Xu, Xuejun; Hoppe, Ronald 12 2005 Coupled problems on stationary non-isothermal flow of electrorheological fluids. Zbl 1109.76068Litvinov, W. G.; Hoppe, R. H. W. 2 2005 Problems of stationary flow of electrorheological fluids in a cylindrical coordinate system. Zbl 1075.35051Hoppe, R. H. W.; Litvinov, W. G.; Rahman, T. 2 2005 On the convergence of mortar edge element methods in \(\mathbb R^3\). Zbl 1095.65096Xu, Xuejun; Hoppe, R. H. W. 2 2005 On an additive Schwarz preconditioner for the Crouzeix-Raviart mortar finite element. Zbl 1067.65050Rahman, 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 1164.90421Hoppe, R. H. W.; Petrova, S. I. 6 2004 Adaptive multigrid and domain decomposition methods in the computation of electromagnetic fields. Zbl 1107.78014Hoppe, R. H. W. 4 2004 Optimal shape design in biomimetics based on homogenization and adaptivity. Zbl 1106.74390Hoppe, Ronald H. W.; Petrova, Svetozara I. 3 2004 Problems on electrorheological fluid flows. Zbl 1083.35112Hoppe, Ronald H. W.; Litvinov, William G. 3 2004 Numerical solution of a nonlinear evolution equation describing amorphous surface growth of thin films. Zbl 1163.35412Hoppe, Ronald H. W.; Nash, Eva 2 2004 Computational electromagnetics. Proceedings of the GAMM workshop on computational electromagnetics, Kiel, Germany, January 26–28, 2001. Zbl 1007.78001 5 2003 Adaptive domain decomposition techniques in electromagnetic field computation and electrothermomechanical coupling problems. Zbl 1114.78013Hoppe, R. H. W. 1 2003 Applications of primal-dual interior methods in structural optimization. Zbl 1098.90070Hoppe, Ronald H. W.; Petrova, Svetozara I. 1 2003 Problem on stationary flow of electrorheological fluids under the conditions of nonhomogeneous temperature distribution. Zbl 1201.35158Hoppe, R. H. W; Litvinov, W. G. 1 2003 Primal-dual Newton-type interior-point method for topology optimization. Zbl 1026.90108Hoppe, R. H. W.; Petrova, S. I.; Schulz, V. 9 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 1004.65099Hoppe, R. H. W.; Nash, E. M. 5 2002 Topology optimization of high power electronic devices. Zbl 1026.78018Hoppe, Ronald H. W.; Petrova, Svetozara; Schulz, Volker 1 2002 Topology optimization of conductive media described by Maxwell’s equations. Zbl 0997.78019Hoppe, Ronald H. W.; Petrova, Svetozara I.; Schulz, Volker H. 1 2001 Residual based a posteriori error estimators for eddy current computation. Zbl 0949.65113Beck, Rudi; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara 86 2000 Numerical simulation of electrorheological fluids based on an extended Bingham model. Zbl 1094.76534Engelmann, B.; Hiptmair, R.; Hoppe, R. H. W.; Mazurkevitch, G. 1 2000 A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements. Zbl 0929.65094Wohlmuth, Barbara I.; Hoppe, Ronald H. W. 44 1999 Adaptive multilevel methods for edge element discretizations of Maxwell’s equations. Zbl 0939.65136Beck, Rudolf; Deuflhard, Peter; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara 25 1999 Multilevel methods for mixed finite elements in three dimensions. Zbl 0929.65124Hiptmair, Ralf; Hoppe, Ronald H. W. 7 1999 Mortar edge element methods in \(\mathbb{R}^3\). Zbl 0944.65118Hoppe, R. H. W. 4 1999 Analysis and parallel implementation of adaptive mortar element methods. Zbl 0913.65098Hoppe, R.; Iliash, Yu.; Kuznetsov, Yu.; Vassilevski, Yu.; Wohlmuth, B. 6 1998 Hierarchical basis error estimators for Raviart-Thomas discretizations of arbitrary order. Zbl 0902.65051Hoppe, R. H. W.; Wohlmuth, B. 4 1998 Adaptive mixed hybrid and macro-hybrid finite element methods. Zbl 0933.65134Hoppe, R. H. W.; Wohlmuth, B. I. 1 1998 Adaptive multilevel techniques for mixed finite element discretizations of elliptic boundary value problems. Zbl 0889.65124Hoppe, Ronald H. W.; Wohlmuth, Barbara 17 1997 Multilevel iterative solution and adaptive mesh refinement for mixed finite element discretizations. Zbl 0879.65083Hoppe, Ronald H. W.; Wohlmuth, Barbara 2 1997 Element-oriented and edge-oriented local error estimators for nonconforming finite element methods. Zbl 0843.65075Hoppe, Ronald H. W.; Wohlmuth, Barbara 31 1996 ...and 20 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,015 Authors 40 Hoppe, Ronald H. W. 25 Carstensen, Carsten 20 Li, Jichun 15 He, Xiaoming 14 Huang, Yunqing 13 Nicaise, Serge 11 Hintermüller, Michael 10 Chen, Yanping 10 Yang, Wei 10 Zou, Jun 9 Gudi, Thirupathi 9 Wohlmuth, Barbara I. 9 Yan, Ningning 9 Yousept, Irwin 9 Zeng, Jinping 8 Hu, Jun 8 Linsenmann, Christopher 8 Otárola, Enrique 8 Rahman, Talal 8 Stephan, Ernst Peter 7 Burman, Erik 7 Cheng, Xiaoliang 7 Du, Shaohong 7 Hiptmair, Ralf 7 Xu, Jinchao 7 Xu, Xuejun 7 Xu, Yifeng 6 Allendes, Alejandro 6 Boffi, Daniele 6 Brenner, Susanne Cecelia 6 Cai, Zhiqiang 6 Chen, Jinru 6 Chen, Long 6 Ern, Alexandre 6 Kornhuber, Ralf 6 Leng, Haitao 6 Li, Jian 6 Lu, Zuliang 6 Marcinkowski, Leszek 6 Praetorius, Dirk 6 Repin, Sergeĭ Igorevich 6 Schöberl, Joachim 6 Vohralík, Martin 6 Xie, Xiaoping 6 Zheng, Weiying 6 Zhong, Liuqiang 5 Antil, Harbir 5 Benner, Peter 5 Braess, Dietrich 5 Chen, Zhangxin 5 Creusé, Emmanuel 5 Führer, Thomas 5 Gedicke, Joscha 5 Gong, Wei 5 Han, Weimin 5 Heinkenschloss, Matthias 5 Hinze, Michael 5 Huang, Fenglin 5 Mao, Shipeng 5 Merdon, Christian 5 Porwal, Kamana 5 Rademacher, Andreas 5 Rankin, Richard 5 Shi, Zhongci 5 Tang, Yuelong 5 Wang, Feng 5 Wolfmayr, Monika 5 Zhou, Shuzi 5 Zhou, Zhaojie 4 Aulisa, Eugenio 4 Cao, Shuhao 4 Chaumont-Frelet, Théophile 4 Chen, Junqing 4 Chen, Zhiming 4 Choi, Youngsoo 4 Eigel, Martin 4 Franke, Thomas 4 Fuica, Francisco 4 Gastaldi, Lucia 4 Gugercin, Serkan 4 Günther, Andreas 4 Gunzburger, Max D. 4 Kim, Kwang Yeon 4 Kunisch, Karl 4 Leydecker, Florian 4 Nochetto, Ricardo Horacio 4 Park, Eun-Jae 4 Petrova, Svetozara I. 4 Salgado, Abner J. 4 Schroder, Andreas 4 Shu, Shi 4 Siebert, Kunibert G. 4 Sun, Zhe 4 Tang, Zuqi 4 Vexler, Boris 4 Xu, Hongru 4 Yotov, Ivan 4 Yücel, Hamdullah 4 Zhu, Lingxue 4 Zou, Qingsong ...and 915 more Authors all top 5 Cited in 135 Serials 47 Journal of Computational and Applied Mathematics 46 Mathematics of Computation 45 Journal of Scientific Computing 44 Numerische Mathematik 43 Computer Methods in Applied Mechanics and Engineering 38 Computers & Mathematics with Applications 24 SIAM Journal on Numerical Analysis 22 SIAM Journal on Scientific Computing 19 Computational Optimization and Applications 18 Journal of Computational Physics 17 Applied Numerical Mathematics 14 Numerical Methods for Partial Differential Equations 14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Computational Methods in Applied Mathematics 11 Applied Mathematics and Computation 8 Advances in Computational Mathematics 8 Optimization Methods & Software 8 Journal of Numerical Mathematics 8 Science China. 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