Edit Profile Rumpf, Martin Compute Distance To: Compute Author ID: rumpf.martin Published as: Rumpf, M.; Rumpf, Martin Documents Indexed: 99 Publications since 1995, including 2 Books all top 5 Co-Authors 4 single-authored 12 Wirth, Benedikt 10 Conti, Sergio 10 Lenz, Martin 9 Droske, Marc 9 Preusser, Tobias 7 Clarenz, Ulrich 6 Schultz, Rüdiger 6 Strzodka, Robert 5 Dziuk, Gerhard 5 Effland, Alexander 5 Geihe, Benedict 5 Grün, Günther 5 Schröder, Peter 5 Simon, Stefan 4 Berkels, Benjamin 4 Diewald, Udo 4 Heeren, Behrend 3 Ohlberger, Mario 3 Pach, Martin 3 Perl, Ricardo 3 Weikard, Ulrich 2 Becker, Joachim 2 Caselles Costa, Vicent 2 Dellnitz, Michael 2 Garbe, Christoph S. 2 Garcke, Harald 2 Held, Harald 2 Hornung, Peter 2 Junge, Oliver 2 Lüthen, Nora 2 Nemadjieu, Simplice Firmin 2 Noelle, Sebastian 2 Olischläger, Nadine 2 Reif, Ulrich 2 Rosenbaum, Wolfram 2 Sapiro, Guillermo 2 Telea, Alex 2 Tölkes, Sascha 2 Vantzos, Orestis 2 Voigt, Axel 2 Wardetzky, Max 1 Acker, Jens F. 1 Atwal, Pradeep 1 Balzani, Nadine 1 Bar, Leah 1 Bastian, Peter 1 Becker, Jörg D. 1 Bergounioux, Maïtine 1 Bredies, Kristian 1 Bürkle, David 1 Carlier, Guillaume 1 Chambolle, Antonin 1 Champion, Thierry 1 Diallo, Mamadou S. 1 Dondl, Patrick Werner 1 Dörfler, 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 Hesse, Michael 1 Heußer, Norbert 1 Hildebrandt, Klaus 1 Hohmann, Andreas 1 Holschneider, Matthias 1 Hron, Jaroslav 1 Huber, Pascal 1 Iglesias, José Antonio 1 Jüttler, Bert 1 Klöfkorn, Robert 1 Kondermann, Claudia 1 Kulesh, Michail 1 Litke, Nathan 1 Maas, Jan 1 Maass, Peter 1 Mantzaflaris, Angelos 1 Meyer, Bernhard 1 Mikula, Karol 1 Morigi, Serena 1 Nemitz, Oliver 1 Neubauer, Thimo 1 Neumayer, Sebastian 1 Nielsen, Michael Bang 1 Niethammer, Barbara 1 Oudet, Edouard 1 Pawelczyk, Matthäus 1 Peitgen, Heinz-Otto 1 Penzler, Patrick 1 Polthier, Konrad 1 Pozzi, Paola 1 Rätz, Andreas 1 Rusu, R. 1 Santambrogio, Filippo ...and 20 more Co-Authors all top 5 Serials 5 Computer Aided Geometric Design 5 Oberwolfach Reports 5 SIAM Journal on Imaging Sciences 3 Computing 3 Numerische Mathematik 3 SIAM Journal on Applied Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Interfaces and Free Boundaries 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 IMA Journal of Numerical Analysis 2 Mathematics of Computation 2 SIAM Journal on Control and Optimization 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 SIAM Journal on Numerical Analysis 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 Radon Series on Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems. Series S all top 5 Fields 61 Numerical analysis (65-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 29 Computer science (68-XX) 27 Mechanics of deformable solids (74-XX) 23 Partial differential equations (35-XX) 16 Fluid mechanics (76-XX) 14 Information and communication theory, circuits (94-XX) 13 Differential geometry (53-XX) 8 General and overarching topics; collections (00-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Systems theory; control (93-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 2 Global analysis, analysis on manifolds (58-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 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 66 Publications have been cited 538 times in 447 Documents Cited by ▼ Year ▼ Bernoulli’s free-boundary problem, qualitative theory and numerical approximation. Zbl 0909.35154Flucher, M.; Rumpf, M. 50 1997 Nonnegativity preserving convergent schemes for the thin film equation. Zbl 0988.76056Grün, Günther; Rumpf, Martin 41 2000 A level set formulation for Willmore flow. Zbl 1062.35028Droske, M.; Rumpf, M. 36 2004 A variational approach to nonrigid morphological image registration. Zbl 1063.49013Droske, M.; Rumpf, M. 30 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 Shape optimization under uncertainty\(- \)a stochastic programming perspective. Zbl 1176.49045Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 22 2009 Exploring invariant sets and invariant measures. Zbl 0938.37056Dellnitz, Michael; Hohmann, Andreas; Junge, Oliver; Rumpf, Martin 21 1997 An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation. Zbl 0904.65105Dörfler, W.; Rumpf, M. 20 1998 A phase-field model for compliance shape optimization in nonlinear elasticity. Zbl 1251.49054Penzler, Patrick; Rumpf, Martin; Wirth, Benedikt 16 2012 Simulation of singularities and instabilities arising in thin film flow. Zbl 0991.76041Grün, Günther; Rumpf, Martin 16 2001 The Cahn-Hilliard equation with elasticity – finite element approximation and qualitative studies. Zbl 0972.35164Garcke, Harald; Rumpf, Martin; Weikard, Ulrich 15 2001 Variational time discretization of geodesic calculus. Zbl 1329.65133Rumpf, Martin; Wirth, Benedikt 14 2015 A generalized model for optimal transport of images including dissipation and density modulation. Zbl 1348.94009Maas, Jan; Rumpf, Martin; Schönlieb, Carola; Simon, Stefan 13 2015 Risk averse shape optimization. Zbl 1230.49039Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 11 2011 A convergent finite volume scheme for diffusion on evolving surfaces. Zbl 1254.65095Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin 11 2011 A nonlinear elastic shape averaging approach. Zbl 1219.49035Rumpf, Martin; Wirth, Benedikt 10 2009 Extracting grain boundaries and macroscopic deformations from images on atomic scale. Zbl 1203.65039Berkels, Benjamin; Rätz, Andreas; Rumpf, Martin; Voigt, Axel 10 2008 A variational approach to optimal meshes. Zbl 0863.65075Rumpf, M. 10 1996 On numerical integration in isogeometric subdivision methods for PDEs on surfaces. Zbl 1425.65033Jüttler, Bert; Mantzaflaris, Angelos; Perl, Ricardo; Rumpf, Martin 8 2016 A continuum mechanical approach to geodesics in shape space. Zbl 1235.68309Wirth, Benedikt; Bar, Leah; Rumpf, Martin; Sapiro, Guillermo 8 2011 Time discrete geodesic paths in the space of images. Zbl 1325.65031Berkels, B.; Effland, A.; Rumpf, M. 7 2015 Risk averse elastic shape optimization with parametrized fine scale geometry. Zbl 1280.90090Geihe, Benedict; Lenz, Martin; Rumpf, Martin; Schultz, Rüdiger 7 2013 3D composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1237.65129Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole 6 2011 On generalized mean curvature flow in surface processing. Zbl 1035.53091Clarenz, Ulrich; Dziuk, Gerhard; Rumpf, Martin 6 2003 Numerical methods for fourth order nonlinear degenerate diffusion problems. Zbl 1090.35086Becker, Jörg; Grün, Günther; Lenz, Martin; Rumpf, Martin 6 2002 A level set method for anisotropic geometric diffusion in 3D image processing. Zbl 1007.68196Preusser, Tobias; Rumpf, Martin 6 2002 An adaptive level set method for medical image segmentation. Zbl 0982.68546Droske, Marc; Meyer, Bernhard; Rumpf, Martin; Schaller, Carlo 6 2001 A \(BV\) functional and its relaxation for joint motion estimation and image sequence recovery. Zbl 1326.49019Conti, Sergio; Ginster, Janusz; Rumpf, Martin 5 2015 Discrete geodesic calculus in shape space and applications in the space of viscous fluidic objects. Zbl 1279.68337Rumpf, Martin; Wirth, Benedikt 5 2013 Two step time discretization of Willmore flow. Zbl 1259.65149Olischläger, N.; Rumpf, M. 5 2009 Towards a unified framework for scientific computing. Zbl 1067.65103Bastian, Peter; Droske, Mark; Engwer, Christian; Klöfkorn, Robert; Neubauer, Thimo; Ohlberger, Mario; Rumpf, Martin 5 2005 A posteriori error control for the binary Mumford-Shah model. Zbl 1361.49014Berkels, Benjamin; Effland, Alexander; Rumpf, Martin 4 2017 A phase field based PDE constrained optimization approach to time discrete Willmore flow. Zbl 1267.53005Franken, Martina; Rumpf, Martin; Wirth, Benedikt 4 2013 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 Graphics processor units: new prospects for parallel computing. Zbl 1112.68343Rumpf, Martin; Strzodka, Robert 4 2006 3D adaptive central schemes. I: Algorithms for assembling the dual mesh. Zbl 1137.76041Noelle, S.; Rosenbaum, W.; Rumpf, M. 4 2006 Axioms and variational problems in surface parameterization. Zbl 1069.65547Clarenz, Ulrich; Litke, Nathan; Rumpf, Martin 4 2004 The computation of an unstable invariant set inside a cylinder containing a knotted flow. Zbl 0965.65141Dellnitz, Michael; Junge, Oliver; Rumpf, Martin; Strzodka, Robert 4 2000 On equilibria in the interaction of fluids and elastic solids. Zbl 0930.35176Rumpf, M. 4 1998 Optimization of the branching pattern in coherent phase transitions. Zbl 1338.74101Dondl, Patrick; Heeren, Behrend; Rumpf, Martin 3 2016 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 Image registration by a regularized gradient flow. A streaming implementation in DX9 graphics hardware. Zbl 1061.65058Strzodka, R.; Droske, M.; Rumpf, M. 3 2004 A finite volume scheme for surfactant driven thin film flow. Zbl 1177.76226Grün, Günther; Lenz, Martin; Rumpf, Martin 3 2002 Towards fast non-rigid registration. Zbl 1031.68132Clarenz, U.; Droske, M.; Rumpf, M. 3 2002 Diffusion models and their accelerated solution in image and surface processing. Zbl 0993.65109Diewald, U.; Preusser, T.; Rumpf, M.; Strzodka, R. 3 2001 PDE methods in flow simulation post processing. Zbl 1060.76635Becker, Joachim; Preusser, Tobias; Rumpf, Martin 3 2000 Hierarchical and adaptive visualization on nested grids. Zbl 0944.65022Ohlberger, M.; Rumpf, M. 3 1997 Computation of optimal transport on discrete metric measure spaces. Zbl 07153076Erbar, Matthias; Rumpf, Martin; Schmitzer, Bernhard; Simon, Stefan 2 2020 Shape-aware matching of implicit surfaces based on thin shell energies. Zbl 1408.49010Iglesias, José A.; Rumpf, Martin; Scherzer, Otmar 2 2018 Image extrapolation for the time discrete metamorphosis model: existence and applications. Zbl 1397.65032Effland, Alexander; Rumpf, Martin; Schäfer, Florian 2 2018 Stochastic dominance constraints in elastic shape optimization. Zbl 1417.35214Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha 2 2018 Numerical gradient flow discretization of viscous thin films on curved geometries. Zbl 1264.35016Rumpf, Martin; Vantzos, Orestis 2 2013 Finite volume method on moving surfaces. Zbl 1374.76156Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin 2 2008 Computational methods for nonlinear image registration. Zbl 1185.92070Clarenz, Ulrich; Droske, Marc; Henn, Stefan; Rumpf, Martin; Witsch, Kristian 2 2006 On level set formulations for anisotropic mean curvature flow and surface diffusion. Zbl 1179.35159Clarenz, Ulrich; Haußer, Frank; Rumpf, Martin; Voigt, Axel; Weikard, Ulrich 2 2005 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 1 2019 Variational methods in shape analysis. Zbl 1331.68259Rumpf, Martin; Wirth, Benedikt 1 2015 A nested variational time discretization for parametric anisotropic Willmore flow. Zbl 1325.49033Perl, Ricardo; Pozzi, Paola; Rumpf, Martin 1 2014 Two-stage stochastic optimization meets two-scale simulation. Zbl 1327.49071Conti, Sergio; Geihe, Benedict; Rumpf, Martin; Schultz, Rüdiger 1 2014 On shape optimization with stochastic loadings. Zbl 1356.93094Atwal, Pradeep; Conti, Sergio; Geihe, Benedict; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 1 2012 Modeling and simulation of magnetic-shape-memory polymer composites. Zbl 1171.74014Conti, S.; Lenz, M.; Rumpf, M. 1 2007 Multidimensional adaptive staggered grids. Zbl 1171.76425Noelle, S.; Rosenbaum, W.; Rumpf, M. 1 2005 Multiresolution visualization of higher-order adaptive finite element simulations. Zbl 1024.76038Haasdonk, B.; Ohlberger, M.; Rumpf, M.; Schmidt, Alfred; Siebert, K. G. 1 2003 Entropy consistent finite volume schemes for the thin film equation. Zbl 1052.65526Grün, Günther; Rumpf, Martin 1 1999 Computation of optimal transport on discrete metric measure spaces. Zbl 07153076Erbar, Matthias; Rumpf, Martin; Schmitzer, Bernhard; Simon, Stefan 2 2020 Material optimization for nonlinearly elastic planar beams. Zbl 1444.74025Hornung, Peter; 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 2 2018 Image extrapolation for the time discrete metamorphosis model: existence and applications. Zbl 1397.65032Effland, Alexander; Rumpf, Martin; Schäfer, Florian 2 2018 Stochastic dominance constraints in elastic shape optimization. Zbl 1417.35214Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha 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 8 2016 Optimization of the branching pattern in coherent phase transitions. Zbl 1338.74101Dondl, Patrick; Heeren, Behrend; Rumpf, Martin 3 2016 Variational time discretization of geodesic calculus. Zbl 1329.65133Rumpf, Martin; Wirth, Benedikt 14 2015 A generalized model for optimal transport of images including dissipation and density modulation. Zbl 1348.94009Maas, Jan; Rumpf, Martin; Schönlieb, Carola; Simon, Stefan 13 2015 Time discrete geodesic paths in the space of images. Zbl 1325.65031Berkels, B.; Effland, A.; Rumpf, M. 7 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. Zbl 1331.68259Rumpf, Martin; Wirth, Benedikt 1 2015 A nested variational time discretization for parametric anisotropic Willmore flow. Zbl 1325.49033Perl, Ricardo; Pozzi, Paola; Rumpf, Martin 1 2014 Two-stage stochastic optimization meets two-scale simulation. Zbl 1327.49071Conti, Sergio; Geihe, Benedict; Rumpf, Martin; Schultz, Rüdiger 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 5 2013 A phase field based PDE constrained optimization approach to time discrete Willmore flow. Zbl 1267.53005Franken, Martina; Rumpf, Martin; Wirth, Benedikt 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 16 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 1 2012 Risk averse shape optimization. Zbl 1230.49039Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 11 2011 A convergent finite volume scheme for diffusion on evolving surfaces. Zbl 1254.65095Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin 11 2011 A continuum mechanical approach to geodesics in shape space. Zbl 1235.68309Wirth, Benedikt; Bar, Leah; Rumpf, Martin; Sapiro, Guillermo 8 2011 3D composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1237.65129Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole 6 2011 An elasticity-based covariance analysis of shapes. Zbl 1235.68284Rumpf, Martin; Wirth, Benedikt 3 2011 Shape optimization under uncertainty\(- \)a stochastic programming perspective. Zbl 1176.49045Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 22 2009 A nonlinear elastic shape averaging approach. Zbl 1219.49035Rumpf, Martin; Wirth, Benedikt 10 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 10 2008 Finite volume method on moving surfaces. Zbl 1374.76156Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin 2 2008 Modeling and simulation of magnetic-shape-memory polymer composites. Zbl 1171.74014Conti, S.; Lenz, M.; Rumpf, M. 1 2007 Graphics processor units: new prospects for parallel computing. Zbl 1112.68343Rumpf, Martin; Strzodka, Robert 4 2006 3D adaptive central schemes. I: Algorithms for assembling the dual mesh. Zbl 1137.76041Noelle, S.; Rosenbaum, W.; Rumpf, M. 4 2006 Computational methods for nonlinear image registration. Zbl 1185.92070Clarenz, Ulrich; Droske, Marc; Henn, Stefan; Rumpf, Martin; Witsch, Kristian 2 2006 Towards a unified framework for scientific computing. Zbl 1067.65103Bastian, Peter; Droske, Mark; Engwer, Christian; Klöfkorn, Robert; Neubauer, Thimo; Ohlberger, Mario; Rumpf, Martin 5 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 2 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. 36 2004 A variational approach to nonrigid morphological image registration. Zbl 1063.49013Droske, M.; Rumpf, M. 30 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 6 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 Numerical methods for fourth order nonlinear degenerate diffusion problems. Zbl 1090.35086Becker, Jörg; Grün, Günther; Lenz, Martin; Rumpf, Martin 6 2002 A level set method for anisotropic geometric diffusion in 3D image processing. Zbl 1007.68196Preusser, Tobias; Rumpf, Martin 6 2002 A finite volume scheme for surfactant driven thin film flow. Zbl 1177.76226Grün, Günther; Lenz, Martin; Rumpf, Martin 3 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 16 2001 The Cahn-Hilliard equation with elasticity – finite element approximation and qualitative studies. Zbl 0972.35164Garcke, Harald; Rumpf, Martin; Weikard, Ulrich 15 2001 An adaptive level set method for medical image segmentation. Zbl 0982.68546Droske, Marc; Meyer, Bernhard; Rumpf, Martin; Schaller, Carlo 6 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 41 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 4 2000 PDE methods in flow simulation post processing. Zbl 1060.76635Becker, Joachim; Preusser, Tobias; Rumpf, Martin 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. 20 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. 50 1997 Exploring invariant sets and invariant measures. Zbl 0938.37056Dellnitz, Michael; Hohmann, Andreas; Junge, Oliver; Rumpf, Martin 21 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 843 Authors 24 Rumpf, Martin 11 Garcke, Harald 11 Harbrecht, Helmut 10 Wirth, Benedikt 9 Barrett, John W. 9 Grün, Günther 6 Nürnberg, Robert 6 Peyré, Gabriel 6 Xu, Guoliang 5 Bartels, Sören 5 Basting, Steffen 5 Conti, Sergio 5 Elliott, Charles M. 5 Le Guyader, Carole 5 Modersitzki, Jan 5 Schmitzer, Bernhard 5 Voigt, Axel 4 Bacani, Jerico B. 4 Bänsch, Eberhard 4 Burger, Martin 4 Dedner, Andreas S. 4 Dellnitz, Michael 4 Effland, Alexander 4 Eppler, Karsten 4 Junge, Oliver 4 Krauskopf, Bernd 4 Lenz, Martin 4 Mang, Andreas 4 Nochetto, Ricardo Horacio 4 Oberhuber, Tomás 4 Osinga, Hinke Maria 4 Peichl, Gunther H. 4 Rabago, Julius Fergy Tiongson 4 Scherzer, Otmar 4 Schultz, Rüdiger 4 Vialard, François-Xavier 3 Allaire, Grégoire 3 Bastian, Peter 3 Bauer, Martin 3 Bertozzi, Andrea Louise 3 Biros, George 3 Bruveris, Martins 3 Chen, Chong 3 Chen, Ke 3 Chizat, Lénaïc 3 Cirak, Fehmi 3 Cuturi, Marco 3 Dambrine, Marc 3 Dapogny, Charles 3 Debroux, Noémie 3 Deckelnick, Klaus 3 Du, Qiang 3 Engwer, Christian 3 Geihe, Benedict 3 Haber, Eldad 3 Haslinger, Jaroslav 3 Hömberg, Dietmar 3 Jüngel, Ansgar 3 Kessler, Mathieu 3 Kim, Junseok 3 Kress, Rainer 3 Lowengrub, John Samuel 3 Mantas, José Miguel 3 Martínez-Frutos, Jesús 3 Mikula, Karol 3 Morigi, Serena 3 Morin, Pedro 3 Neumayer, Sebastian 3 Öktem, Ozan 3 Periago, Francisco 3 Peschka, Dirk 3 Roma, Alexandre Megiorin 3 Seck, Diaraf 3 Simon, Stefan 3 Steidl, Gabriele 3 Styles, Vanessa 3 Wagner, Marcus M. 3 Wardetzky, Max 2 Agosti, Abramo 2 Alahyane, Mohamed 2 Alharbi, Abdulghani Ragaa 2 Arsent’eva, E. P. 2 Auricchio, Ferdinando 2 Azegami, Hideyuki 2 Bajaj, Chandrajit L. 2 Bandara, Kosala 2 Bartha, Ferenc A. 2 Basri, Ronen 2 Berkels, Benjamin 2 Blowey, James F. 2 Bonetti, Elena 2 Bouchon, François 2 Cardaliaguet, Pierre 2 Carraturo, Massimo 2 Cavoretto, Roberto 2 Ceniceros, Hector D. 2 Chen, Zhan 2 Chugunova, Marina A. 2 Dayrens, François 2 De Rossi, Alessandra ...and 743 more Authors all top 5 Cited in 132 Serials 41 Journal of Computational Physics 28 Computer Methods in Applied Mechanics and Engineering 20 SIAM Journal on Imaging Sciences 19 Mathematics of Computation 17 Numerische Mathematik 17 Journal of Scientific Computing 10 Journal of Mathematical Imaging and Vision 9 Computers & Mathematics with Applications 9 Journal of Computational and Applied Mathematics 9 Computer Aided Geometric Design 9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 SIAM Journal on Numerical Analysis 6 SIAM Journal on Scientific Computing 5 SIAM Journal on Control and Optimization 5 Applied Numerical Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Inverse Problems 4 Journal of Engineering Mathematics 4 Mathematical Methods in the Applied Sciences 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Computational Mechanics 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Calculus of Variations and Partial Differential Equations 4 Chaos 4 Nonlinear Analysis. Real World Applications 4 Foundations of Computational Mathematics 4 Structural and Multidisciplinary Optimization 4 Inverse Problems and Imaging 3 Archive for Rational Mechanics and Analysis 3 Journal of Fluid Mechanics 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics and Computation 3 Computing 3 International Journal for Numerical Methods in Engineering 3 Kybernetika 3 Physica D 3 International Journal of Computer Mathematics 3 SIAM Journal on Mathematical Analysis 3 SIAM Journal on Optimization 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Computational Optimization and Applications 3 Advances in Computational Mathematics 3 Computing and Visualization in Science 3 Computational Methods in Applied Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Advances in Calculus of Variations 3 SMAI Journal of Computational Mathematics 2 Applicable Analysis 2 Communications on Pure and Applied Mathematics 2 International Journal for Numerical Methods in Fluids 2 Journal of Differential Equations 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 Applications of Mathematics 2 Communications in Partial Differential Equations 2 Pattern Recognition 2 Mathematical Programming. Series A. Series B 2 Journal of Mathematical Sciences (New York) 2 Numerical Linear Algebra with Applications 2 Discrete and Continuous Dynamical Systems 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 Multiscale Modeling & Simulation 2 GAMM-Mitteilungen 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Differential Equations 2 Journal of Theoretical Biology 1 Computers and Fluids 1 Communications in Mathematical Physics 1 International Journal of Control 1 Journal of Mathematical Biology 1 Journal of the Mechanics and Physics of Solids 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 BIT 1 Calcolo 1 Journal of Approximation Theory 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 1 Acta Applicandae Mathematicae 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 The Journal of Geometric Analysis 1 Numerical Algorithms 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 SIAM Review ...and 32 more Serials all top 5 Cited in 37 Fields 253 Numerical analysis (65-XX) 160 Partial differential equations (35-XX) 105 Calculus of variations and optimal control; optimization (49-XX) 91 Fluid mechanics (76-XX) 85 Mechanics of deformable solids (74-XX) 51 Computer science (68-XX) 50 Information and communication theory, circuits (94-XX) 30 Biology and other natural sciences (92-XX) 29 Dynamical systems and ergodic theory (37-XX) 26 Differential geometry (53-XX) 22 Operations research, mathematical programming (90-XX) 18 Global analysis, analysis on manifolds (58-XX) 13 Statistical mechanics, structure of matter (82-XX) 11 Probability theory and stochastic processes (60-XX) 9 Systems theory; control (93-XX) 8 Optics, electromagnetic theory (78-XX) 7 Ordinary differential equations (34-XX) 6 Statistics (62-XX) 5 Potential theory (31-XX) 4 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 4 Geophysics (86-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Measure and integration (28-XX) 3 Difference and functional equations (39-XX) 3 Integral equations (45-XX) 3 Functional analysis (46-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-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 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year