Edit Profile (opens in new tab) Rumpf, Martin Compute Distance To: Compute Author ID: rumpf.martin Published as: Rumpf, Martin; Rumpf, M. Documents Indexed: 103 Publications since 1995 7 Contributions as Editor · 1 Further Contribution Co-Authors: 129 Co-Authors with 106 Joint Publications 2,740 Co-Co-Authors all top 5 Co-Authors 4 single-authored 13 Wirth, Benedikt 10 Conti, Sergio 10 Lenz, Martin O. 9 Droske, Marc 9 Preusser, Tobias 8 Effland, Alexander 8 Simon, Stefan 7 Clarenz, Ulrich 6 Schultz, Rüdiger 6 Strzodka, Robert 5 Berkels, Benjamin 5 Dziuk, Gerhard 5 Geihe, Benedict 5 Grün, Günther 5 Heeren, Behrend 5 Schröder, Peter 4 Diewald, Udo 3 Ohlberger, Mario 3 Pach, Martin 3 Perl, Ricardo 3 Weikard, Ulrich 2 Caselles Costa, Vicent 2 Dellnitz, Michael 2 Dondl, Patrick Werner 2 Garbe, Christoph S. 2 Garcke, Harald 2 Held, Harald 2 Hornung, Peter 2 Junge, Oliver 2 Lüthen, Nora 2 Maas, Jan 2 Nemadjieu, Simplice Firmin 2 Nemitz, Oliver 2 Noelle, Sebastian 2 Olischläger, Nadine 2 Rajković, Marko 2 Reif, Ulrich 2 Rosenbaum, Wolfram 2 Sapiro, Guillermo 2 Sassen, Josua 2 Schäfer, Florian 2 Telea, Alex 2 Tölkes, Sascha 2 Vantzos, Orestis 2 Voigt, Axel 2 Wardetzky, Max 2 Whitaker, Ross T. 1 Acker, Jens F. 1 Atwal, Pradeep 1 Balzani, Nadine 1 Bar, Leah 1 Bastian, Peter 1 Becker, Joachim 1 Becker, Jörg D. 1 Bergounioux, Maïtine 1 Bredies, Kristian 1 Buet, Blanche 1 Burger, Martin 1 Bürkle, David 1 Carlier, Guillaume 1 Chambolle, Antonin 1 Champion, Thierry 1 Diallo, Mamadou S. 1 Dorfler, Willy 1 Engwer, Christian 1 Erbar, Matthias 1 Flucher, Martin 1 Franken, Martina 1 Ginster, Janusz 1 Haasdonk, Bernard 1 Hamann, Bernd 1 Happe, R.-T. 1 Hausser, Frank 1 Hege, Hans-Christian 1 Henn, Stefan 1 Heußer, Norbert 1 Hildebrandt, Klaus 1 Hohmann, Andreas 1 Holschneider, Matthias 1 Hron, Jaroslav 1 Huber, Pascal 1 Iglesias, José Antonio 1 Justiniano, Jorge 1 Jüttler, Bert 1 Klöfkorn, Robert 1 Kobler, Erich 1 Kondermann, Claudia 1 Kulesh, Michail 1 Linkmann, Gina 1 Litke, Nathan 1 Maass, Peter 1 Mantzaflaris, Angelos 1 Mennucci, Andrea Carlo Giuseppe 1 Meny, Janos 1 Meyer, Bernhard 1 Mikula, Karol 1 Morigi, Serena 1 Neubauer, Thimo 1 Neumayer, Sebastian 1 Nielsen, Michael Bang ...and 32 more Co-Authors all top 5 Serials 6 Computer Aided Geometric Design 5 Oberwolfach Reports 5 SIAM Journal on Imaging Sciences 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 IMA Journal of Numerical Analysis 3 Computing 3 Numerische Mathematik 3 SIAM Journal on Applied Mathematics 3 Journal of Mathematical Imaging and Vision 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Interfaces and Free Boundaries 2 Mathematics of Computation 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Numerical Analysis 2 SIAM Journal on Scientific Computing 2 International Journal of Computer Vision 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of the Mechanics and Physics of Solids 1 Journal für die Reine und Angewandte Mathematik 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Acta Mathematica Universitatis Comenianae. New Series 1 Applications of Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Calculus of Variations and Partial Differential Equations 1 Computing and Visualization in Science 1 Chaos 1 Foundations of Computational Mathematics 1 International Journal of Numerical Analysis and Modeling 1 GAMM-Mitteilungen 1 Lecture Notes in Mathematics 1 Radon Series on Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 69 Numerical analysis (65-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 35 Computer science (68-XX) 29 Mechanics of deformable solids (74-XX) 25 Partial differential equations (35-XX) 17 Information and communication theory, circuits (94-XX) 16 Fluid mechanics (76-XX) 15 Differential geometry (53-XX) 9 General and overarching topics; collections (00-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Systems theory; control (93-XX) 4 Biology and other natural sciences (92-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Operations research, mathematical programming (90-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 665 times in 538 Documents Cited by ▼ Year ▼ Bernoulli’s free-boundary problem, qualitative theory and numerical approximation. Zbl 0909.35154Flucher, M.; Rumpf, M. 56 1997 Nonnegativity preserving convergent schemes for the thin film equation. Zbl 0988.76056Grün, Günther; Rumpf, Martin 53 2000 A level set formulation for Willmore flow. Zbl 1062.35028Droske, M.; Rumpf, M. 43 2004 A variational approach to nonrigid morphological image registration. Zbl 1063.49013Droske, M.; Rumpf, M. 41 2004 Shape optimization under uncertainty\(- \)a stochastic programming perspective. Zbl 1176.49045Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 27 2009 A finite element method for surface restoration with smooth boundary conditions. Zbl 1069.65546Clarenz, U.; Diewald, U.; Dziuk, G.; Rumpf, M.; Rusu, R. 26 2004 Exploring invariant sets and invariant measures. Zbl 0938.37056Dellnitz, Michael; Hohmann, Andreas; Junge, Oliver; Rumpf, Martin 23 1997 An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation. Zbl 0904.65105Dörfler, W.; Rumpf, M. 22 1998 A phase-field model for compliance shape optimization in nonlinear elasticity. Zbl 1251.49054Penzler, Patrick; Rumpf, Martin; Wirth, Benedikt 20 2012 Variational time discretization of geodesic calculus. Zbl 1329.65133Rumpf, Martin; Wirth, Benedikt 18 2015 Simulation of singularities and instabilities arising in thin film flow. Zbl 0991.76041Grün, Günther; Rumpf, Martin 18 2001 A generalized model for optimal transport of images including dissipation and density modulation. Zbl 1348.94009Maas, Jan; Rumpf, Martin; Schönlieb, Carola; Simon, Stefan 18 2015 Risk averse shape optimization. Zbl 1230.49039Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 16 2011 The Cahn-Hilliard equation with elasticity – finite element approximation and qualitative studies. Zbl 0972.35164Garcke, Harald; Rumpf, Martin; Weikard, Ulrich 16 2001 A nonlinear elastic shape averaging approach. Zbl 1219.49035Rumpf, Martin; Wirth, Benedikt 15 2009 A convergent finite volume scheme for diffusion on evolving surfaces. Zbl 1254.65095Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin 12 2011 Time discrete geodesic paths in the space of images. Zbl 1325.65031Berkels, B.; Effland, A.; Rumpf, M. 12 2015 On numerical integration in isogeometric subdivision methods for PDEs on surfaces. Zbl 1425.65033Jüttler, Bert; Mantzaflaris, Angelos; Perl, Ricardo; Rumpf, Martin 11 2016 A level set method for anisotropic geometric diffusion in 3D image processing. Zbl 1007.68196Preusser, Tobias; Rumpf, Martin 11 2002 Extracting grain boundaries and macroscopic deformations from images on atomic scale. Zbl 1203.65039Berkels, Benjamin; Rätz, Andreas; Rumpf, Martin; Voigt, Axel 11 2008 A variational approach to optimal meshes. Zbl 0863.65075Rumpf, M. 10 1996 A continuum mechanical approach to geodesics in shape space. Zbl 1235.68309Wirth, Benedikt; Bar, Leah; Rumpf, Martin; Sapiro, Guillermo 10 2011 An adaptive level set method for medical image segmentation. Zbl 0982.68546Droske, Marc; Meyer, Bernhard; Rumpf, Martin; Schaller, Carlo 8 2001 On generalized mean curvature flow in surface processing. Zbl 1035.53091Clarenz, Ulrich; Dziuk, Gerhard; Rumpf, Martin 8 2003 3D composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1237.65129Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole 8 2011 Numerical methods for fourth order nonlinear degenerate diffusion problems. Zbl 1090.35086Becker, Jörg; Grün, Günther; Lenz, Martin; Rumpf, Martin 7 2002 Risk averse elastic shape optimization with parametrized fine scale geometry. Zbl 1280.90090Geihe, Benedict; Lenz, Martin; Rumpf, Martin; Schultz, Rüdiger 7 2013 Towards a unified framework for scientific computing. Zbl 1067.65103Bastian, Peter; Droske, Mark; Engwer, Christian; Klöfkorn, Robert; Neubauer, Thimo; Ohlberger, Mario; Rumpf, Martin 6 2005 Discrete geodesic calculus in shape space and applications in the space of viscous fluidic objects. Zbl 1279.68337Rumpf, Martin; Wirth, Benedikt 6 2013 Computation of optimal transport on discrete metric measure spaces. Zbl 07153076Erbar, Matthias; Rumpf, Martin; Schmitzer, Bernhard; Simon, Stefan 5 2020 A finite volume scheme for surfactant driven thin film flow. Zbl 1177.76226Grün, Günther; Lenz, Martin; Rumpf, Martin 5 2002 PDE methods in flow simulation post processing. Zbl 1060.76635Becker, Joachim; Preusser, Tobias; Rumpf, Martin 5 2000 A phase field based PDE constrained optimization approach to time discrete Willmore flow. Zbl 1267.53005Franken, Martina; Rumpf, Martin; Wirth, Benedikt 5 2013 Two step time discretization of Willmore flow. Zbl 1259.65149Olischläger, N.; Rumpf, M. 5 2009 A \(BV\) functional and its relaxation for joint motion estimation and image sequence recovery. Zbl 1326.49019Conti, Sergio; Ginster, Janusz; Rumpf, Martin 5 2015 On equilibria in the interaction of fluids and elastic solids. Zbl 0930.35176Rumpf, M. 4 1998 Axioms and variational problems in surface parameterization. Zbl 1069.65547Clarenz, Ulrich; Litke, Nathan; Rumpf, Martin 4 2004 3D adaptive central schemes. I: Algorithms for assembling the dual mesh. Zbl 1137.76041Noelle, S.; Rosenbaum, W.; Rumpf, M. 4 2006 Graphics processor units: new prospects for parallel computing. Zbl 1112.68343Rumpf, Martin; Strzodka, Robert 4 2006 Finite element methods on very large, dynamic tubular grid encoded implicit surfaces. Zbl 1190.65153Nemitz, Oliver; Nielsen, Michael Bang; Rumpf, Martin; Whitaker, Ross 4 2009 A posteriori error control for the binary Mumford-Shah model. Zbl 1361.49014Berkels, Benjamin; Effland, Alexander; Rumpf, Martin 4 2017 Level set and PDE based reconstruction methods in imaging. Lecture notes given at the CIME summer school, Cetraro, Italy, September 2008. Zbl 1277.94002 4 2013 Shape-aware matching of implicit surfaces based on thin shell energies. Zbl 1408.49010Iglesias, José A.; Rumpf, Martin; Scherzer, Otmar 3 2018 Optimization of the branching pattern in coherent phase transitions. (Optimisation d’un motif de ramification au cours de la transformation de phase martensitique.) Zbl 1338.74101Dondl, Patrick; Heeren, Behrend; Rumpf, Martin 3 2016 Stochastic dominance constraints in elastic shape optimization. Zbl 1417.35214Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha 3 2018 Variational methods in shape analysis. 2nd edition. Zbl 1331.68259Rumpf, Martin; Wirth, Benedikt 3 2015 Finite volume method on moving surfaces. Zbl 1374.76156Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin 3 2008 On level set formulations for anisotropic mean curvature flow and surface diffusion. Zbl 1179.35159Clarenz, Ulrich; Haußer, Frank; Rumpf, Martin; Voigt, Axel; Weikard, Ulrich 3 2005 Diffusion models and their accelerated solution in image and surface processing. Zbl 0993.65109Diewald, U.; Preusser, T.; Rumpf, M.; Strzodka, R. 3 2001 Computational methods for nonlinear image registration. Zbl 1185.92070Clarenz, Ulrich; Droske, Marc; Henn, Stefan; Rumpf, Martin; Witsch, Kristian 3 2006 Convergence of the time discrete metamorphosis model on Hadamard manifolds. Zbl 07196114Effland, Alexander; Neumayer, Sebastian; Rumpf, Martin 3 2020 Image registration by a regularized gradient flow. A streaming implementation in DX9 graphics hardware. Zbl 1061.65058Strzodka, R.; Droske, M.; Rumpf, M. 3 2004 Hierarchical and adaptive visualization on nested grids. Zbl 0944.65022Ohlberger, M.; Rumpf, M. 3 1997 The computation of an unstable invariant set inside a cylinder containing a knotted flow. Zbl 0965.65141Dellnitz, Michael; Junge, Oliver; Rumpf, Martin; Strzodka, Robert 3 2000 Towards fast non-rigid registration. Zbl 1031.68132Clarenz, U.; Droske, M.; Rumpf, M. 3 2002 A nested variational time discretization for parametric Willmore flow. Zbl 1263.65016Balzani, Nadine; Rumpf, Martin 3 2012 An elasticity-based covariance analysis of shapes. Zbl 1235.68284Rumpf, Martin; Wirth, Benedikt 3 2011 Variational time discretization of Riemannian splines. Zbl 1483.49017Heeren, Behrend; Rumpf, Martin; Wirth, Benedikt 3 2019 Image extrapolation for the time discrete metamorphosis model: existence and applications. Zbl 1397.65032Effland, Alexander; Rumpf, Martin; Schäfer, Florian 2 2018 Nonlinear diffusion in graphics hardware. Zbl 1016.68155Rumpf, M.; Strzodka, R. 2 2001 Material optimization for nonlinearly elastic planar beams. Zbl 1444.74025Hornung, Peter; Rumpf, Martin; Simon, Stefan 2 2019 On shape optimization with stochastic loadings. Zbl 1356.93094Atwal, Pradeep; Conti, Sergio; Geihe, Benedict; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 2 2012 Numerical gradient flow discretization of viscous thin films on curved geometries. Zbl 1264.35016Rumpf, Martin; Vantzos, Orestis 2 2013 Geometry processing from an elastic perspective. Zbl 1322.68246Rumpf, Martin; Wardetzky, Max 2 2014 Multidimensional adaptive staggered grids. Zbl 1171.76425Noelle, S.; Rosenbaum, W.; Rumpf, M. 1 2005 A phase field method for joint denoising, edge detection, and motion estimation in image sequence processing. Zbl 05291121Preusser, T.; Droske, M.; Garbe, C. S.; Telea, A.; Rumpf, M. 1 2008 Entropy consistent finite volume schemes for the thin film equation. Zbl 1052.65526Grün, Günther; Rumpf, Martin 1 1999 Multiresolution visualization of higher-order adaptive finite element simulations. Zbl 1024.76038Haasdonk, B.; Ohlberger, M.; Rumpf, M.; Schmidt, Alfred; Siebert, K. G. 1 2003 Variational methods in shape analysis. Zbl 1259.68212Rumpf, Martin; Wirth, Benedikt 1 2011 Two-stage stochastic optimization meets two-scale simulation. Zbl 1327.49071Conti, Sergio; Geihe, Benedict; Rumpf, Martin; Schultz, Rüdiger 1 2014 A nested variational time discretization for parametric anisotropic Willmore flow. Zbl 1325.49033Perl, Ricardo; Pozzi, Paola; Rumpf, Martin 1 2014 Modeling and simulation of magnetic-shape-memory polymer composites. Zbl 1171.74014Conti, S.; Lenz, M.; Rumpf, M. 1 2007 On material optimisation for nonlinearly elastic plates and shells. Zbl 1459.49028Hornung, Peter; Rumpf, Martin; Simon, Stefan 1 2020 Image morphing in deep feature spaces: theory and applications. Zbl 07358840Effland, Alexander; Kobler, Erich; Pock, Thomas; Rajković, Marko; Rumpf, Martin 1 2021 Simultaneous elastic shape optimization for a domain splitting in bone tissue engineering. Zbl 1472.74160Dondl, Patrick; Poh, Patrina S. P.; Rumpf, Martin; Simon, Stefan 1 2019 Finite element approximation of large-scale isometric deformations of parametrized surfaces. Zbl 1501.65126Rumpf, Martin; Simon, Stefan; Smoch, Christoph 1 2022 Finite element approximation of large-scale isometric deformations of parametrized surfaces. Zbl 1501.65126Rumpf, Martin; Simon, Stefan; Smoch, Christoph 1 2022 Image morphing in deep feature spaces: theory and applications. Zbl 07358840Effland, Alexander; Kobler, Erich; Pock, Thomas; Rajković, Marko; Rumpf, Martin 1 2021 Computation of optimal transport on discrete metric measure spaces. Zbl 07153076Erbar, Matthias; Rumpf, Martin; Schmitzer, Bernhard; Simon, Stefan 5 2020 Convergence of the time discrete metamorphosis model on Hadamard manifolds. Zbl 07196114Effland, Alexander; Neumayer, Sebastian; Rumpf, Martin 3 2020 On material optimisation for nonlinearly elastic plates and shells. Zbl 1459.49028Hornung, Peter; Rumpf, Martin; Simon, Stefan 1 2020 Variational time discretization of Riemannian splines. Zbl 1483.49017Heeren, Behrend; Rumpf, Martin; Wirth, Benedikt 3 2019 Material optimization for nonlinearly elastic planar beams. Zbl 1444.74025Hornung, Peter; Rumpf, Martin; Simon, Stefan 2 2019 Simultaneous elastic shape optimization for a domain splitting in bone tissue engineering. Zbl 1472.74160Dondl, Patrick; Poh, Patrina S. P.; Rumpf, Martin; Simon, Stefan 1 2019 Shape-aware matching of implicit surfaces based on thin shell energies. Zbl 1408.49010Iglesias, José A.; Rumpf, Martin; Scherzer, Otmar 3 2018 Stochastic dominance constraints in elastic shape optimization. Zbl 1417.35214Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha 3 2018 Image extrapolation for the time discrete metamorphosis model: existence and applications. Zbl 1397.65032Effland, Alexander; Rumpf, Martin; Schäfer, Florian 2 2018 A posteriori error control for the binary Mumford-Shah model. Zbl 1361.49014Berkels, Benjamin; Effland, Alexander; Rumpf, Martin 4 2017 On numerical integration in isogeometric subdivision methods for PDEs on surfaces. Zbl 1425.65033Jüttler, Bert; Mantzaflaris, Angelos; Perl, Ricardo; Rumpf, Martin 11 2016 Optimization of the branching pattern in coherent phase transitions. (Optimisation d’un motif de ramification au cours de la transformation de phase martensitique.) Zbl 1338.74101Dondl, Patrick; Heeren, Behrend; Rumpf, Martin 3 2016 Variational time discretization of geodesic calculus. Zbl 1329.65133Rumpf, Martin; Wirth, Benedikt 18 2015 A generalized model for optimal transport of images including dissipation and density modulation. Zbl 1348.94009Maas, Jan; Rumpf, Martin; Schönlieb, Carola; Simon, Stefan 18 2015 Time discrete geodesic paths in the space of images. Zbl 1325.65031Berkels, B.; Effland, A.; Rumpf, M. 12 2015 A \(BV\) functional and its relaxation for joint motion estimation and image sequence recovery. Zbl 1326.49019Conti, Sergio; Ginster, Janusz; Rumpf, Martin 5 2015 Variational methods in shape analysis. 2nd edition. Zbl 1331.68259Rumpf, Martin; Wirth, Benedikt 3 2015 Geometry processing from an elastic perspective. Zbl 1322.68246Rumpf, Martin; Wardetzky, Max 2 2014 Two-stage stochastic optimization meets two-scale simulation. Zbl 1327.49071Conti, Sergio; Geihe, Benedict; Rumpf, Martin; Schultz, Rüdiger 1 2014 A nested variational time discretization for parametric anisotropic Willmore flow. Zbl 1325.49033Perl, Ricardo; Pozzi, Paola; Rumpf, Martin 1 2014 Risk averse elastic shape optimization with parametrized fine scale geometry. Zbl 1280.90090Geihe, Benedict; Lenz, Martin; Rumpf, Martin; Schultz, Rüdiger 7 2013 Discrete geodesic calculus in shape space and applications in the space of viscous fluidic objects. Zbl 1279.68337Rumpf, Martin; Wirth, Benedikt 6 2013 A phase field based PDE constrained optimization approach to time discrete Willmore flow. Zbl 1267.53005Franken, Martina; Rumpf, Martin; Wirth, Benedikt 5 2013 Level set and PDE based reconstruction methods in imaging. Lecture notes given at the CIME summer school, Cetraro, Italy, September 2008. Zbl 1277.94002 4 2013 Numerical gradient flow discretization of viscous thin films on curved geometries. Zbl 1264.35016Rumpf, Martin; Vantzos, Orestis 2 2013 A phase-field model for compliance shape optimization in nonlinear elasticity. Zbl 1251.49054Penzler, Patrick; Rumpf, Martin; Wirth, Benedikt 20 2012 A nested variational time discretization for parametric Willmore flow. Zbl 1263.65016Balzani, Nadine; Rumpf, Martin 3 2012 On shape optimization with stochastic loadings. Zbl 1356.93094Atwal, Pradeep; Conti, Sergio; Geihe, Benedict; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 2 2012 Risk averse shape optimization. Zbl 1230.49039Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 16 2011 A convergent finite volume scheme for diffusion on evolving surfaces. Zbl 1254.65095Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin 12 2011 A continuum mechanical approach to geodesics in shape space. Zbl 1235.68309Wirth, Benedikt; Bar, Leah; Rumpf, Martin; Sapiro, Guillermo 10 2011 3D composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1237.65129Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole 8 2011 An elasticity-based covariance analysis of shapes. Zbl 1235.68284Rumpf, Martin; Wirth, Benedikt 3 2011 Variational methods in shape analysis. Zbl 1259.68212Rumpf, Martin; Wirth, Benedikt 1 2011 Shape optimization under uncertainty\(- \)a stochastic programming perspective. Zbl 1176.49045Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 27 2009 A nonlinear elastic shape averaging approach. Zbl 1219.49035Rumpf, Martin; Wirth, Benedikt 15 2009 Two step time discretization of Willmore flow. Zbl 1259.65149Olischläger, N.; Rumpf, M. 5 2009 Finite element methods on very large, dynamic tubular grid encoded implicit surfaces. Zbl 1190.65153Nemitz, Oliver; Nielsen, Michael Bang; Rumpf, Martin; Whitaker, Ross 4 2009 Extracting grain boundaries and macroscopic deformations from images on atomic scale. Zbl 1203.65039Berkels, Benjamin; Rätz, Andreas; Rumpf, Martin; Voigt, Axel 11 2008 Finite volume method on moving surfaces. Zbl 1374.76156Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin 3 2008 A phase field method for joint denoising, edge detection, and motion estimation in image sequence processing. Zbl 05291121Preusser, T.; Droske, M.; Garbe, C. S.; Telea, A.; Rumpf, M. 1 2008 Modeling and simulation of magnetic-shape-memory polymer composites. Zbl 1171.74014Conti, S.; Lenz, M.; Rumpf, M. 1 2007 3D adaptive central schemes. I: Algorithms for assembling the dual mesh. Zbl 1137.76041Noelle, S.; Rosenbaum, W.; Rumpf, M. 4 2006 Graphics processor units: new prospects for parallel computing. Zbl 1112.68343Rumpf, Martin; Strzodka, Robert 4 2006 Computational methods for nonlinear image registration. Zbl 1185.92070Clarenz, Ulrich; Droske, Marc; Henn, Stefan; Rumpf, Martin; Witsch, Kristian 3 2006 Towards a unified framework for scientific computing. Zbl 1067.65103Bastian, Peter; Droske, Mark; Engwer, Christian; Klöfkorn, Robert; Neubauer, Thimo; Ohlberger, Mario; Rumpf, Martin 6 2005 On level set formulations for anisotropic mean curvature flow and surface diffusion. Zbl 1179.35159Clarenz, Ulrich; Haußer, Frank; Rumpf, Martin; Voigt, Axel; Weikard, Ulrich 3 2005 Multidimensional adaptive staggered grids. Zbl 1171.76425Noelle, S.; Rosenbaum, W.; Rumpf, M. 1 2005 A level set formulation for Willmore flow. Zbl 1062.35028Droske, M.; Rumpf, M. 43 2004 A variational approach to nonrigid morphological image registration. Zbl 1063.49013Droske, M.; Rumpf, M. 41 2004 A finite element method for surface restoration with smooth boundary conditions. Zbl 1069.65546Clarenz, U.; Diewald, U.; Dziuk, G.; Rumpf, M.; Rusu, R. 26 2004 Axioms and variational problems in surface parameterization. Zbl 1069.65547Clarenz, Ulrich; Litke, Nathan; Rumpf, Martin 4 2004 Image registration by a regularized gradient flow. A streaming implementation in DX9 graphics hardware. Zbl 1061.65058Strzodka, R.; Droske, M.; Rumpf, M. 3 2004 On generalized mean curvature flow in surface processing. Zbl 1035.53091Clarenz, Ulrich; Dziuk, Gerhard; Rumpf, Martin 8 2003 Multiresolution visualization of higher-order adaptive finite element simulations. Zbl 1024.76038Haasdonk, B.; Ohlberger, M.; Rumpf, M.; Schmidt, Alfred; Siebert, K. G. 1 2003 A level set method for anisotropic geometric diffusion in 3D image processing. Zbl 1007.68196Preusser, Tobias; Rumpf, Martin 11 2002 Numerical methods for fourth order nonlinear degenerate diffusion problems. Zbl 1090.35086Becker, Jörg; Grün, Günther; Lenz, Martin; Rumpf, Martin 7 2002 A finite volume scheme for surfactant driven thin film flow. Zbl 1177.76226Grün, Günther; Lenz, Martin; Rumpf, Martin 5 2002 Towards fast non-rigid registration. Zbl 1031.68132Clarenz, U.; Droske, M.; Rumpf, M. 3 2002 Simulation of singularities and instabilities arising in thin film flow. Zbl 0991.76041Grün, Günther; Rumpf, Martin 18 2001 The Cahn-Hilliard equation with elasticity – finite element approximation and qualitative studies. Zbl 0972.35164Garcke, Harald; Rumpf, Martin; Weikard, Ulrich 16 2001 An adaptive level set method for medical image segmentation. Zbl 0982.68546Droske, Marc; Meyer, Bernhard; Rumpf, Martin; Schaller, Carlo 8 2001 Diffusion models and their accelerated solution in image and surface processing. Zbl 0993.65109Diewald, U.; Preusser, T.; Rumpf, M.; Strzodka, R. 3 2001 Nonlinear diffusion in graphics hardware. Zbl 1016.68155Rumpf, M.; Strzodka, R. 2 2001 Nonnegativity preserving convergent schemes for the thin film equation. Zbl 0988.76056Grün, Günther; Rumpf, Martin 53 2000 PDE methods in flow simulation post processing. Zbl 1060.76635Becker, Joachim; Preusser, Tobias; Rumpf, Martin 5 2000 The computation of an unstable invariant set inside a cylinder containing a knotted flow. Zbl 0965.65141Dellnitz, Michael; Junge, Oliver; Rumpf, Martin; Strzodka, Robert 3 2000 Entropy consistent finite volume schemes for the thin film equation. Zbl 1052.65526Grün, Günther; Rumpf, Martin 1 1999 An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation. Zbl 0904.65105Dörfler, W.; Rumpf, M. 22 1998 On equilibria in the interaction of fluids and elastic solids. Zbl 0930.35176Rumpf, M. 4 1998 Bernoulli’s free-boundary problem, qualitative theory and numerical approximation. Zbl 0909.35154Flucher, M.; Rumpf, M. 56 1997 Exploring invariant sets and invariant measures. Zbl 0938.37056Dellnitz, Michael; Hohmann, Andreas; Junge, Oliver; Rumpf, Martin 23 1997 Hierarchical and adaptive visualization on nested grids. Zbl 0944.65022Ohlberger, M.; Rumpf, M. 3 1997 A variational approach to optimal meshes. Zbl 0863.65075Rumpf, M. 10 1996 all cited Publications top 5 cited Publications all top 5 Cited by 984 Authors 30 Rumpf, Martin 14 Garcke, Harald 12 Wirth, Benedikt 11 Grün, Günther 11 Harbrecht, Helmut 10 Barrett, John William 7 Nürnberg, Robert 6 Peyré, Gabriel 5 Bartels, Sören 5 Basting, Steffen 5 Bauer, Martin 5 Conti, Sergio 5 Effland, Alexander 5 Elliott, Charles M. 5 Le Guyader, Carole 5 Modersitzki, Jan 5 Neumayer, Sebastian 5 Schmitzer, Bernhard 5 Schultz, Rüdiger 5 Voigt, Axel 5 Xu, Guoliang 5 Zhang, Daoping 4 Bacani, Jerico B. 4 Bänsch, Eberhard 4 Burger, Martin 4 Chen, Chong 4 Chen, Ke 4 Dedner, Andreas S. 4 Dellnitz, Michael 4 Eppler, Karsten 4 Harfash, Akil Jassim 4 Junge, Oliver 4 Jüngel, Ansgar 4 Krauskopf, Bernd 4 Lenz, Martin O. 4 Mang, Andreas 4 Martínez-Frutos, Jesús 4 Nochetto, Ricardo Horacio 4 Oberhuber, Tomás 4 Öktem, Ozan 4 Osinga, Hinke Maria 4 Peichl, Gunther H. 4 Peschka, Dirk 4 Rabago, Julius Fergy Tiongson 4 Scherzer, Otmar 4 Schönlieb, Carola-Bibiane 4 Simon, Stefan 4 Steidl, Gabriele 3 Allaire, Grégoire 3 Auricchio, Ferdinando 3 Bastian, Peter 3 Berkels, Benjamin 3 Bertozzi, Andrea Louise 3 Biros, George 3 Bruveris, Martins 3 Chizat, Lénaïc 3 Cirak, Fehmi 3 Cuturi, Marco 3 Dambrine, Marc 3 Dapogny, Charles 3 Debroux, Noémie 3 Deckelnick, Klaus 3 Dondl, Patrick Werner 3 Du, Qiang 3 Engwer, Christian 3 Geihe, Benedict 3 Giacomelli, Lorenzo 3 Haber, Eldad 3 Hashim, Mohammed Homod 3 Haslinger, Jaroslav 3 Hömberg, Dietmar 3 Hornung, Peter 3 Hughes, Thomas J. R. 3 Kessler, Mathieu 3 Kim, Junseok 3 Kress, Rainer 3 Lowengrub, John Samuel 3 Lu, Jianfeng 3 Lui, Lok Ming 3 Mantas, José Miguel 3 Mikula, Karol 3 Morigi, Serena 3 Morin, Pedro 3 Osher, Stanley Joel 3 Periago, Francisco 3 Pock, Thomas 3 Reali, Alessandro 3 Roma, Alexandre Megiorin 3 Seck, Diaraf 3 Styles, Vanessa 3 Van Brummelen, Harald 3 Vialard, François-Xavier 3 Wagner, Marcus M. 3 Wardetzky, Max 3 Yang, Haizhao 2 Agosti, Abramo 2 Alahyane, Mohamed 2 Almi, Stefano 2 Arsent’eva, E. P. 2 Azegami, Hideyuki ...and 884 more Authors all top 5 Cited in 146 Serials 44 Journal of Computational Physics 33 Computer Methods in Applied Mechanics and Engineering 23 SIAM Journal on Imaging Sciences 19 Mathematics of Computation 19 Journal of Scientific Computing 18 Journal of Mathematical Imaging and Vision 17 Numerische Mathematik 11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Computers & Mathematics with Applications 10 Computer Aided Geometric Design 9 Journal of Computational and Applied Mathematics 8 SIAM Journal on Scientific Computing 7 SIAM Journal on Numerical Analysis 7 International Journal of Computer Vision 6 SIAM Journal on Control and Optimization 6 Applied Numerical Mathematics 6 Calculus of Variations and Partial Differential Equations 5 Inverse Problems 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Computational Mechanics 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Foundations of Computational Mathematics 4 Archive for Rational Mechanics and Analysis 4 Journal of Engineering Mathematics 4 Journal of Fluid Mechanics 4 Mathematical Methods in the Applied Sciences 4 Physica D 4 SIAM Journal on Optimization 4 Computational Optimization and Applications 4 Advances in Computational Mathematics 4 Chaos 4 Nonlinear Analysis. Real World Applications 4 Structural and Multidisciplinary Optimization 4 Inverse Problems and Imaging 4 Advances in Calculus of Variations 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics and Computation 3 Applied Mathematics and Optimization 3 Computing 3 International Journal for Numerical Methods in Engineering 3 Kybernetika 3 Applications of Mathematics 3 International Journal of Computer Mathematics 3 SIAM Journal on Mathematical Analysis 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Discrete and Continuous Dynamical Systems 3 Computing and Visualization in Science 3 Computational Methods in Applied Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Multiscale Modeling & Simulation 3 SMAI Journal of Computational Mathematics 2 Applicable Analysis 2 Communications on Pure and Applied Mathematics 2 International Journal of Control 2 International Journal for Numerical Methods in Fluids 2 Journal of the Mechanics and Physics of Solids 2 Mathematics and Computers in Simulation 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 ACM Transactions on Graphics 2 The Journal of Geometric Analysis 2 Communications in Partial Differential Equations 2 Pattern Recognition 2 SIAM Journal on Applied Mathematics 2 SIAM Review 2 Mathematical Programming. Series A. Series B 2 Journal of Nonlinear Science 2 Journal of Mathematical Sciences (New York) 2 Numerical Linear Algebra with Applications 2 Mathematical Problems in Engineering 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Engineering Computations 2 Optimization and Engineering 2 SIAM Journal on Applied Dynamical Systems 2 GAMM-Mitteilungen 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Differential Equations 2 Journal of Geometric Mechanics 2 Set-Valued and Variational Analysis 2 Journal of Theoretical Biology 2 Journal of Computational Dynamics 2 SIAM/ASA Journal on Uncertainty Quantification 1 Computers and Fluids 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Automatica 1 BIT 1 Calcolo 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Memoirs of the American Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Optimal Control Applications & Methods 1 Zeitschrift für Analysis und ihre Anwendungen ...and 46 more Serials all top 5 Cited in 39 Fields 298 Numerical analysis (65-XX) 195 Partial differential equations (35-XX) 124 Calculus of variations and optimal control; optimization (49-XX) 101 Fluid mechanics (76-XX) 97 Mechanics of deformable solids (74-XX) 73 Computer science (68-XX) 65 Information and communication theory, circuits (94-XX) 47 Biology and other natural sciences (92-XX) 32 Dynamical systems and ergodic theory (37-XX) 30 Differential geometry (53-XX) 27 Operations research, mathematical programming (90-XX) 19 Global analysis, analysis on manifolds (58-XX) 16 Statistical mechanics, structure of matter (82-XX) 13 Probability theory and stochastic processes (60-XX) 12 Systems theory; control (93-XX) 11 Ordinary differential equations (34-XX) 11 Optics, electromagnetic theory (78-XX) 8 Statistics (62-XX) 6 Functional analysis (46-XX) 5 Potential theory (31-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 4 Integral equations (45-XX) 4 Geophysics (86-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of particles and systems (70-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year