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Rumpf, Martin

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Author ID: rumpf.martin Recent zbMATH articles by "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

Publications by Year

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 0909.35154
Flucher, M.; Rumpf, M.
50
1997
Nonnegativity preserving convergent schemes for the thin film equation. Zbl 0988.76056
Grün, Günther; Rumpf, Martin
41
2000
A level set formulation for Willmore flow. Zbl 1062.35028
Droske, M.; Rumpf, M.
36
2004
A variational approach to nonrigid morphological image registration. Zbl 1063.49013
Droske, M.; Rumpf, M.
30
2004
A finite element method for surface restoration with smooth boundary conditions. Zbl 1069.65546
Clarenz, U.; Diewald, U.; Dziuk, G.; Rumpf, M.; Rusu, R.
26
2004
Shape optimization under uncertainty\(- \)a stochastic programming perspective. Zbl 1176.49045
Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
22
2009
Exploring invariant sets and invariant measures. Zbl 0938.37056
Dellnitz, Michael; Hohmann, Andreas; Junge, Oliver; Rumpf, Martin
21
1997
An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation. Zbl 0904.65105
Dörfler, W.; Rumpf, M.
20
1998
A phase-field model for compliance shape optimization in nonlinear elasticity. Zbl 1251.49054
Penzler, Patrick; Rumpf, Martin; Wirth, Benedikt
16
2012
Simulation of singularities and instabilities arising in thin film flow. Zbl 0991.76041
Grün, Günther; Rumpf, Martin
16
2001
The Cahn-Hilliard equation with elasticity – finite element approximation and qualitative studies. Zbl 0972.35164
Garcke, Harald; Rumpf, Martin; Weikard, Ulrich
15
2001
Variational time discretization of geodesic calculus. Zbl 1329.65133
Rumpf, Martin; Wirth, Benedikt
14
2015
A generalized model for optimal transport of images including dissipation and density modulation. Zbl 1348.94009
Maas, Jan; Rumpf, Martin; Schönlieb, Carola; Simon, Stefan
13
2015
Risk averse shape optimization. Zbl 1230.49039
Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
11
2011
A convergent finite volume scheme for diffusion on evolving surfaces. Zbl 1254.65095
Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin
11
2011
A nonlinear elastic shape averaging approach. Zbl 1219.49035
Rumpf, Martin; Wirth, Benedikt
10
2009
Extracting grain boundaries and macroscopic deformations from images on atomic scale. Zbl 1203.65039
Berkels, Benjamin; Rätz, Andreas; Rumpf, Martin; Voigt, Axel
10
2008
A variational approach to optimal meshes. Zbl 0863.65075
Rumpf, M.
10
1996
On numerical integration in isogeometric subdivision methods for PDEs on surfaces. Zbl 1425.65033
Jüttler, Bert; Mantzaflaris, Angelos; Perl, Ricardo; Rumpf, Martin
8
2016
A continuum mechanical approach to geodesics in shape space. Zbl 1235.68309
Wirth, Benedikt; Bar, Leah; Rumpf, Martin; Sapiro, Guillermo
8
2011
Time discrete geodesic paths in the space of images. Zbl 1325.65031
Berkels, B.; Effland, A.; Rumpf, M.
7
2015
Risk averse elastic shape optimization with parametrized fine scale geometry. Zbl 1280.90090
Geihe, Benedict; Lenz, Martin; Rumpf, Martin; Schultz, Rüdiger
7
2013
3D composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1237.65129
Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole
6
2011
On generalized mean curvature flow in surface processing. Zbl 1035.53091
Clarenz, Ulrich; Dziuk, Gerhard; Rumpf, Martin
6
2003
Numerical methods for fourth order nonlinear degenerate diffusion problems. Zbl 1090.35086
Becker, Jörg; Grün, Günther; Lenz, Martin; Rumpf, Martin
6
2002
A level set method for anisotropic geometric diffusion in 3D image processing. Zbl 1007.68196
Preusser, Tobias; Rumpf, Martin
6
2002
An adaptive level set method for medical image segmentation. Zbl 0982.68546
Droske, Marc; Meyer, Bernhard; Rumpf, Martin; Schaller, Carlo
6
2001
A \(BV\) functional and its relaxation for joint motion estimation and image sequence recovery. Zbl 1326.49019
Conti, Sergio; Ginster, Janusz; Rumpf, Martin
5
2015
Discrete geodesic calculus in shape space and applications in the space of viscous fluidic objects. Zbl 1279.68337
Rumpf, Martin; Wirth, Benedikt
5
2013
Two step time discretization of Willmore flow. Zbl 1259.65149
Olischläger, N.; Rumpf, M.
5
2009
Towards a unified framework for scientific computing. Zbl 1067.65103
Bastian, 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 1361.49014
Berkels, Benjamin; Effland, Alexander; Rumpf, Martin
4
2017
A phase field based PDE constrained optimization approach to time discrete Willmore flow. Zbl 1267.53005
Franken, Martina; Rumpf, Martin; Wirth, Benedikt
4
2013
Finite element methods on very large, dynamic tubular grid encoded implicit surfaces. Zbl 1190.65153
Nemitz, Oliver; Nielsen, Michael Bang; Rumpf, Martin; Whitaker, Ross
4
2009
Graphics processor units: new prospects for parallel computing. Zbl 1112.68343
Rumpf, Martin; Strzodka, Robert
4
2006
3D adaptive central schemes. I: Algorithms for assembling the dual mesh. Zbl 1137.76041
Noelle, S.; Rosenbaum, W.; Rumpf, M.
4
2006
Axioms and variational problems in surface parameterization. Zbl 1069.65547
Clarenz, Ulrich; Litke, Nathan; Rumpf, Martin
4
2004
The computation of an unstable invariant set inside a cylinder containing a knotted flow. Zbl 0965.65141
Dellnitz, Michael; Junge, Oliver; Rumpf, Martin; Strzodka, Robert
4
2000
On equilibria in the interaction of fluids and elastic solids. Zbl 0930.35176
Rumpf, M.
4
1998
Optimization of the branching pattern in coherent phase transitions. Zbl 1338.74101
Dondl, Patrick; Heeren, Behrend; Rumpf, Martin
3
2016
A nested variational time discretization for parametric Willmore flow. Zbl 1263.65016
Balzani, Nadine; Rumpf, Martin
3
2012
An elasticity-based covariance analysis of shapes. Zbl 1235.68284
Rumpf, Martin; Wirth, Benedikt
3
2011
Image registration by a regularized gradient flow. A streaming implementation in DX9 graphics hardware. Zbl 1061.65058
Strzodka, R.; Droske, M.; Rumpf, M.
3
2004
A finite volume scheme for surfactant driven thin film flow. Zbl 1177.76226
Grün, Günther; Lenz, Martin; Rumpf, Martin
3
2002
Towards fast non-rigid registration. Zbl 1031.68132
Clarenz, U.; Droske, M.; Rumpf, M.
3
2002
Diffusion models and their accelerated solution in image and surface processing. Zbl 0993.65109
Diewald, U.; Preusser, T.; Rumpf, M.; Strzodka, R.
3
2001
PDE methods in flow simulation post processing. Zbl 1060.76635
Becker, Joachim; Preusser, Tobias; Rumpf, Martin
3
2000
Hierarchical and adaptive visualization on nested grids. Zbl 0944.65022
Ohlberger, M.; Rumpf, M.
3
1997
Computation of optimal transport on discrete metric measure spaces. Zbl 07153076
Erbar, Matthias; Rumpf, Martin; Schmitzer, Bernhard; Simon, Stefan
2
2020
Shape-aware matching of implicit surfaces based on thin shell energies. Zbl 1408.49010
Iglesias, José A.; Rumpf, Martin; Scherzer, Otmar
2
2018
Image extrapolation for the time discrete metamorphosis model: existence and applications. Zbl 1397.65032
Effland, Alexander; Rumpf, Martin; Schäfer, Florian
2
2018
Stochastic dominance constraints in elastic shape optimization. Zbl 1417.35214
Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha
2
2018
Numerical gradient flow discretization of viscous thin films on curved geometries. Zbl 1264.35016
Rumpf, Martin; Vantzos, Orestis
2
2013
Finite volume method on moving surfaces. Zbl 1374.76156
Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin
2
2008
Computational methods for nonlinear image registration. Zbl 1185.92070
Clarenz, Ulrich; Droske, Marc; Henn, Stefan; Rumpf, Martin; Witsch, Kristian
2
2006
On level set formulations for anisotropic mean curvature flow and surface diffusion. Zbl 1179.35159
Clarenz, Ulrich; Haußer, Frank; Rumpf, Martin; Voigt, Axel; Weikard, Ulrich
2
2005
Nonlinear diffusion in graphics hardware. Zbl 1016.68155
Rumpf, M.; Strzodka, R.
2
2001
Material optimization for nonlinearly elastic planar beams. Zbl 1444.74025
Hornung, Peter; Rumpf, Martin; Simon, Stefan
1
2019
Variational methods in shape analysis. Zbl 1331.68259
Rumpf, Martin; Wirth, Benedikt
1
2015
A nested variational time discretization for parametric anisotropic Willmore flow. Zbl 1325.49033
Perl, Ricardo; Pozzi, Paola; Rumpf, Martin
1
2014
Two-stage stochastic optimization meets two-scale simulation. Zbl 1327.49071
Conti, Sergio; Geihe, Benedict; Rumpf, Martin; Schultz, Rüdiger
1
2014
On shape optimization with stochastic loadings. Zbl 1356.93094
Atwal, Pradeep; Conti, Sergio; Geihe, Benedict; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
1
2012
Modeling and simulation of magnetic-shape-memory polymer composites. Zbl 1171.74014
Conti, S.; Lenz, M.; Rumpf, M.
1
2007
Multidimensional adaptive staggered grids. Zbl 1171.76425
Noelle, S.; Rosenbaum, W.; Rumpf, M.
1
2005
Multiresolution visualization of higher-order adaptive finite element simulations. Zbl 1024.76038
Haasdonk, B.; Ohlberger, M.; Rumpf, M.; Schmidt, Alfred; Siebert, K. G.
1
2003
Entropy consistent finite volume schemes for the thin film equation. Zbl 1052.65526
Grün, Günther; Rumpf, Martin
1
1999
Computation of optimal transport on discrete metric measure spaces. Zbl 07153076
Erbar, Matthias; Rumpf, Martin; Schmitzer, Bernhard; Simon, Stefan
2
2020
Material optimization for nonlinearly elastic planar beams. Zbl 1444.74025
Hornung, Peter; Rumpf, Martin; Simon, Stefan
1
2019
Shape-aware matching of implicit surfaces based on thin shell energies. Zbl 1408.49010
Iglesias, José A.; Rumpf, Martin; Scherzer, Otmar
2
2018
Image extrapolation for the time discrete metamorphosis model: existence and applications. Zbl 1397.65032
Effland, Alexander; Rumpf, Martin; Schäfer, Florian
2
2018
Stochastic dominance constraints in elastic shape optimization. Zbl 1417.35214
Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha
2
2018
A posteriori error control for the binary Mumford-Shah model. Zbl 1361.49014
Berkels, Benjamin; Effland, Alexander; Rumpf, Martin
4
2017
On numerical integration in isogeometric subdivision methods for PDEs on surfaces. Zbl 1425.65033
Jüttler, Bert; Mantzaflaris, Angelos; Perl, Ricardo; Rumpf, Martin
8
2016
Optimization of the branching pattern in coherent phase transitions. Zbl 1338.74101
Dondl, Patrick; Heeren, Behrend; Rumpf, Martin
3
2016
Variational time discretization of geodesic calculus. Zbl 1329.65133
Rumpf, Martin; Wirth, Benedikt
14
2015
A generalized model for optimal transport of images including dissipation and density modulation. Zbl 1348.94009
Maas, Jan; Rumpf, Martin; Schönlieb, Carola; Simon, Stefan
13
2015
Time discrete geodesic paths in the space of images. Zbl 1325.65031
Berkels, B.; Effland, A.; Rumpf, M.
7
2015
A \(BV\) functional and its relaxation for joint motion estimation and image sequence recovery. Zbl 1326.49019
Conti, Sergio; Ginster, Janusz; Rumpf, Martin
5
2015
Variational methods in shape analysis. Zbl 1331.68259
Rumpf, Martin; Wirth, Benedikt
1
2015
A nested variational time discretization for parametric anisotropic Willmore flow. Zbl 1325.49033
Perl, Ricardo; Pozzi, Paola; Rumpf, Martin
1
2014
Two-stage stochastic optimization meets two-scale simulation. Zbl 1327.49071
Conti, Sergio; Geihe, Benedict; Rumpf, Martin; Schultz, Rüdiger
1
2014
Risk averse elastic shape optimization with parametrized fine scale geometry. Zbl 1280.90090
Geihe, 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 1279.68337
Rumpf, Martin; Wirth, Benedikt
5
2013
A phase field based PDE constrained optimization approach to time discrete Willmore flow. Zbl 1267.53005
Franken, Martina; Rumpf, Martin; Wirth, Benedikt
4
2013
Numerical gradient flow discretization of viscous thin films on curved geometries. Zbl 1264.35016
Rumpf, Martin; Vantzos, Orestis
2
2013
A phase-field model for compliance shape optimization in nonlinear elasticity. Zbl 1251.49054
Penzler, Patrick; Rumpf, Martin; Wirth, Benedikt
16
2012
A nested variational time discretization for parametric Willmore flow. Zbl 1263.65016
Balzani, Nadine; Rumpf, Martin
3
2012
On shape optimization with stochastic loadings. Zbl 1356.93094
Atwal, Pradeep; Conti, Sergio; Geihe, Benedict; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
1
2012
Risk averse shape optimization. Zbl 1230.49039
Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
11
2011
A convergent finite volume scheme for diffusion on evolving surfaces. Zbl 1254.65095
Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin
11
2011
A continuum mechanical approach to geodesics in shape space. Zbl 1235.68309
Wirth, Benedikt; Bar, Leah; Rumpf, Martin; Sapiro, Guillermo
8
2011
3D composite finite elements for elliptic boundary value problems with discontinuous coefficients. Zbl 1237.65129
Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole
6
2011
An elasticity-based covariance analysis of shapes. Zbl 1235.68284
Rumpf, Martin; Wirth, Benedikt
3
2011
Shape optimization under uncertainty\(- \)a stochastic programming perspective. Zbl 1176.49045
Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
22
2009
A nonlinear elastic shape averaging approach. Zbl 1219.49035
Rumpf, Martin; Wirth, Benedikt
10
2009
Two step time discretization of Willmore flow. Zbl 1259.65149
Olischläger, N.; Rumpf, M.
5
2009
Finite element methods on very large, dynamic tubular grid encoded implicit surfaces. Zbl 1190.65153
Nemitz, Oliver; Nielsen, Michael Bang; Rumpf, Martin; Whitaker, Ross
4
2009
Extracting grain boundaries and macroscopic deformations from images on atomic scale. Zbl 1203.65039
Berkels, Benjamin; Rätz, Andreas; Rumpf, Martin; Voigt, Axel
10
2008
Finite volume method on moving surfaces. Zbl 1374.76156
Lenz, Martin; Nemadjieu, Simplice Firmin; Rumpf, Martin
2
2008
Modeling and simulation of magnetic-shape-memory polymer composites. Zbl 1171.74014
Conti, S.; Lenz, M.; Rumpf, M.
1
2007
Graphics processor units: new prospects for parallel computing. Zbl 1112.68343
Rumpf, Martin; Strzodka, Robert
4
2006
3D adaptive central schemes. I: Algorithms for assembling the dual mesh. Zbl 1137.76041
Noelle, S.; Rosenbaum, W.; Rumpf, M.
4
2006
Computational methods for nonlinear image registration. Zbl 1185.92070
Clarenz, Ulrich; Droske, Marc; Henn, Stefan; Rumpf, Martin; Witsch, Kristian
2
2006
Towards a unified framework for scientific computing. Zbl 1067.65103
Bastian, 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 1179.35159
Clarenz, Ulrich; Haußer, Frank; Rumpf, Martin; Voigt, Axel; Weikard, Ulrich
2
2005
Multidimensional adaptive staggered grids. Zbl 1171.76425
Noelle, S.; Rosenbaum, W.; Rumpf, M.
1
2005
A level set formulation for Willmore flow. Zbl 1062.35028
Droske, M.; Rumpf, M.
36
2004
A variational approach to nonrigid morphological image registration. Zbl 1063.49013
Droske, M.; Rumpf, M.
30
2004
A finite element method for surface restoration with smooth boundary conditions. Zbl 1069.65546
Clarenz, U.; Diewald, U.; Dziuk, G.; Rumpf, M.; Rusu, R.
26
2004
Axioms and variational problems in surface parameterization. Zbl 1069.65547
Clarenz, Ulrich; Litke, Nathan; Rumpf, Martin
4
2004
Image registration by a regularized gradient flow. A streaming implementation in DX9 graphics hardware. Zbl 1061.65058
Strzodka, R.; Droske, M.; Rumpf, M.
3
2004
On generalized mean curvature flow in surface processing. Zbl 1035.53091
Clarenz, Ulrich; Dziuk, Gerhard; Rumpf, Martin
6
2003
Multiresolution visualization of higher-order adaptive finite element simulations. Zbl 1024.76038
Haasdonk, B.; Ohlberger, M.; Rumpf, M.; Schmidt, Alfred; Siebert, K. G.
1
2003
Numerical methods for fourth order nonlinear degenerate diffusion problems. Zbl 1090.35086
Becker, Jörg; Grün, Günther; Lenz, Martin; Rumpf, Martin
6
2002
A level set method for anisotropic geometric diffusion in 3D image processing. Zbl 1007.68196
Preusser, Tobias; Rumpf, Martin
6
2002
A finite volume scheme for surfactant driven thin film flow. Zbl 1177.76226
Grün, Günther; Lenz, Martin; Rumpf, Martin
3
2002
Towards fast non-rigid registration. Zbl 1031.68132
Clarenz, U.; Droske, M.; Rumpf, M.
3
2002
Simulation of singularities and instabilities arising in thin film flow. Zbl 0991.76041
Grün, Günther; Rumpf, Martin
16
2001
The Cahn-Hilliard equation with elasticity – finite element approximation and qualitative studies. Zbl 0972.35164
Garcke, Harald; Rumpf, Martin; Weikard, Ulrich
15
2001
An adaptive level set method for medical image segmentation. Zbl 0982.68546
Droske, Marc; Meyer, Bernhard; Rumpf, Martin; Schaller, Carlo
6
2001
Diffusion models and their accelerated solution in image and surface processing. Zbl 0993.65109
Diewald, U.; Preusser, T.; Rumpf, M.; Strzodka, R.
3
2001
Nonlinear diffusion in graphics hardware. Zbl 1016.68155
Rumpf, M.; Strzodka, R.
2
2001
Nonnegativity preserving convergent schemes for the thin film equation. Zbl 0988.76056
Grün, Günther; Rumpf, Martin
41
2000
The computation of an unstable invariant set inside a cylinder containing a knotted flow. Zbl 0965.65141
Dellnitz, Michael; Junge, Oliver; Rumpf, Martin; Strzodka, Robert
4
2000
PDE methods in flow simulation post processing. Zbl 1060.76635
Becker, Joachim; Preusser, Tobias; Rumpf, Martin
3
2000
Entropy consistent finite volume schemes for the thin film equation. Zbl 1052.65526
Grün, Günther; Rumpf, Martin
1
1999
An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation. Zbl 0904.65105
Dörfler, W.; Rumpf, M.
20
1998
On equilibria in the interaction of fluids and elastic solids. Zbl 0930.35176
Rumpf, M.
4
1998
Bernoulli’s free-boundary problem, qualitative theory and numerical approximation. Zbl 0909.35154
Flucher, M.; Rumpf, M.
50
1997
Exploring invariant sets and invariant measures. Zbl 0938.37056
Dellnitz, Michael; Hohmann, Andreas; Junge, Oliver; Rumpf, Martin
21
1997
Hierarchical and adaptive visualization on nested grids. Zbl 0944.65022
Ohlberger, M.; Rumpf, M.
3
1997
A variational approach to optimal meshes. Zbl 0863.65075
Rumpf, M.
10
1996
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