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Author ID: voigt.axel Recent zbMATH articles by "Voigt, Axel"
Published as: Voigt, Axel; Voigt, A.
Homepage: http://tu-dresden.de/die_tu_dresden/fakultaeten/fakultaet_mathematik_und_naturwi...
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp
all top 5

Co-Authors

5 single-authored
13 Hausser, Frank
13 Nitschke, Ingo
12 Lowengrub, John Samuel
12 Rätz, Andreas
10 Praetorius, Simon
10 Reuther, Sebastian
7 Nestler, Michael
6 Aland, Sebastian
6 Salvalaglio, Marco
5 Krause, Veit
5 Stöcker, Christina
4 Marth, Wieland
4 Wise, Steven M.
4 Witkowski, Thomas
3 Bachini, Elena
3 Backofen, Rainer
3 Burger, Martin
3 Li, Bo
3 Li, Shuwang
3 Ribalta, Angel
2 Balykov, Lev
2 Bänsch, Eberhard
2 Brandner, Philip
2 Hoffmann, Karl-Heinz
2 Jankuhn, Thomas
2 Ling, Siqi
2 Löwen, Hartmut
2 Reusken, Arnold
2 Rumpf, Martin
2 Stenger, Florian
2 Teigen, Knut Erik
2 Vey, Simon
2 Weichmann, Christian
1 Andreas, Rätz
1 Beneš, Michal
1 Berkels, Benjamin
1 Blank, Luise
1 Chalupecký, Vladimír
1 Chockalingam, Karthikeyan
1 Clarenz, Ulrich
1 Dorfler, Willy
1 Dreutsch, A.
1 Dunkel, Jörn
1 Eck, Christof
1 Egerer, Sabine
1 Emmerich, Heike
1 Franz, Sebastian
1 Garcke, Harald
1 Gärtner, Roland
1 Gräf, Manuel
1 Hanssen, Nils
1 Happel, Lea
1 Heiss, Cosmas
1 Hoffman, Karl-Heinz
1 Jabbour, Michel E.
1 Janssen, Sandra
1 Khassawna, T. El
1 Kolář, Miroslav
1 Krishnamoorthy, Ganeshram
1 Kunze, Eric
1 Lakkis, Omar
1 Landsberg, Christoph
1 Langheinrich, A. C.
1 Li, Xiangrong
1 Metzger, Michael
1 Monderkamp, Paul A.
1 Otto, Felix
1 Padberg-Gehle, Kathrin
1 Penzler, Patrick
1 Potts, Daniel
1 Rasche, Sandra
1 Röger, Matthias
1 Roos, Hans-Görg
1 Rump, Tobias
1 Sadik, Souhayl
1 Sarbu, Lavinia
1 Selch, Maximilian
1 Simon, Maximilian
1 Sischka, Jan M.
1 Skinner, Dominic J.
1 Smereka, Peter
1 Sohn, Jinsun
1 Song, Peng
1 Srisupattarawanit, Tarin
1 Styles, Vanessa
1 te Vrugt, Michael
1 Torabi, Solmaz
1 Tseng, Yu-Hau
1 Wang, Fan
1 Weikard, Ulrich
1 Wensch, Jörg
1 Wenzel, Dennis
1 Wittkowski, Raphael
1 Wittmann, René
1 Wulff-Molder, Dirk
1 Xu, Jianjun
all top 5

Serials

9 Journal of Computational Physics
6 Multiscale Modeling & Simulation
5 Journal of Fluid Mechanics
4 Communications in Mathematical Sciences
3 Journal of Scientific Computing
3 SIAM Journal on Scientific Computing
3 Computational Methods in Applied Mathematics
2 Applicable Analysis
2 Mathematical Methods in the Applied Sciences
2 Nonlinearity
2 Journal of Geometry and Physics
2 Oberwolfach Reports
2 Communications in Computational Physics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Journal of Mathematical Biology
1 Computing
1 Journal of Computational and Applied Mathematics
1 Kybernetika
1 Mathematics and Computers in Simulation
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Physica D
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 SIAM Journal on Applied Mathematics
1 Journal of Nonlinear Science
1 Physics of Fluids
1 Advances in Computational Mathematics
1 Computing and Visualization in Science
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Interfaces and Free Boundaries
1 CMES. Computer Modeling in Engineering & Sciences
1 Journal of Numerical Mathematics
1 International Journal of Numerical Analysis and Modeling
1 FDMP. Fluid Dynamics & Materials Processing
1 ISNM. International Series of Numerical Mathematics
1 SIAM Journal on Imaging Sciences
1 Symmetry
1 International Journal of Biomathematics and Biostatistics

Publications by Year

Citations contained in zbMATH Open

70 Publications have been cited 989 times in 550 Documents Cited by Year
A diffuse-interface method for two-phase flows with soluble surfactants. Zbl 1428.76210
Teigen, Knut Erik; Song, Peng; Lowengrub, John; Voigt, Axel
84
2011
Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027
Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A.
76
2009
A new phase-field model for strongly anisotropic systems. Zbl 1186.80014
Torabi, Solmaz; Lowengrub, John; Voigt, Axel; Wise, Steven
71
2009
PDE’s on surfaces – a diffusive interface approach. Zbl 1113.35092
Rätz, Andreas; Voigt, Axel
58
2006
A diffuse-interface approach for modelling transport, diffusion and adsorption/desorption of material quantities on a deformable interface. Zbl 1186.35168
Teigen, Knut Erik; Li, Xiangrong; Lowengrub, John; Wang, Fan; Voigt, Axel
51
2009
A finite element approach to incompressible two-phase flow on manifolds. Zbl 1275.76162
Nitschke, I.; Voigt, A.; Wensch, J.
43
2012
Diffuse interface models of locally inextensible vesicles in a viscous fluid. Zbl 1349.76933
Aland, Sebastian; Egerer, Sabine; Lowengrub, John; Voigt, Axel
37
2014
Phase-field approaches to structural topology optimization. Zbl 1356.49044
Blank, Luise; Garcke, Harald; Sarbu, Lavinia; Srisupattarawanit, Tarin; Styles, Vanessa; Voigt, Axel
34
2012
Two-phase flow in complex geometries: a diffuse domain approach. Zbl 1231.76200
Aland, S.; Lowengrub, J.; Voigt, A.
30
2010
Surface evolution of elastically stressed films under deposition by a diffuse interface model. Zbl 1088.74035
Rätz, Andreas; Ribalta, Angel; Voigt, Axel
30
2006
Dynamics of multicomponent vesicles in a viscous fluid. Zbl 1381.76053
Sohn, Jin Sun; Tseng, Yu-Hau; Li, Shuwang; Voigt, Axel; Lowengrub, John S.
26
2010
Discrete exterior calculus (DEC) for the surface Navier-Stokes equation. Zbl 1391.76563
Nitschke, Ingo; Reuther, Sebastian; Voigt, Axel
26
2017
The interplay of curvature and vortices in flow on curved surfaces. Zbl 1320.35289
Reuther, S.; Voigt, A.
25
2015
Software concepts and numerical algorithms for a scalable adaptive parallel finite element method. Zbl 1334.65160
Witkowski, T.; Ling, S.; Praetorius, S.; Voigt, A.
22
2015
Geometric evolution laws for thin crystalline films: modeling and numerics. Zbl 1364.74062
Li, Bo; Lowengrub, John; Ratz, Andreas; Voigt, Axel
17
2009
A discrete scheme for parametric anisotropic surface diffusion. Zbl 1116.65112
Haußer, Frank; Voigt, Axel
16
2007
Margination of white blood cells: a computational approach by a hydrodynamic phase field model. Zbl 1382.76304
Marth, Wieland; Aland, Sebastian; Voigt, Axel
16
2016
A level set approach to anisotropic flows with curvature regularization. Zbl 1201.82049
Burger, Martin; Haußer, Frank; Stöcker, Christina; Voigt, Axel
14
2007
AMDiS-adaptive multidimensional simulations: Parallel concepts. Zbl 1267.65185
Ribalta, Angel; Stoecker, Christina; Vey, Simon; Voigt, Axel
14
2008
Orientational order on surfaces: the coupling of topology, geometry, and dynamics. Zbl 1391.35335
Nestler, Michael; Nitschke, Ingo; Praetorius, Simon; Voigt, Axel
14
2018
Convexity splitting in a phase field model for surface diffusion. Zbl 1501.65063
Backofen, Rainer; Wise, Steven M.; Salvalaglio, Marco; Voigt, Axel
14
2019
Erratum: “The interplay of curvature and vortices in flow on curved surfaces”. Zbl 1403.35243
Reuther, Sebastian; Voigt, Axel
14
2018
Finite element method for epitaxial growth with attachment–detachment kinetics. Zbl 1100.82024
Bänsch, Eberhard; Haußer, Frank; Lakkis, Omar; Li, Bo; Voigt, Axel
13
2004
A finite element approach for vector- and tensor-valued surface PDEs. Zbl 1452.65352
Nestler, Michael; Nitschke, Ingo; Voigt, Axel
13
2019
A numerical approach for fluid deformable surfaces. Zbl 1460.76066
Reuther, S.; Nitschke, I.; Voigt, Axel
13
2020
A continuum model of colloid-stabilized interfaces. Zbl 1308.76159
Aland, Sebastian; Lowengrub, John; Voigt, Axel
12
2011
A diffuse-interface approximation for surface diffusion including adatoms. Zbl 1117.35315
Rätz, Andreas; Voigt, A.
11
2007
Extracting grain boundaries and macroscopic deformations from images on atomic scale. Zbl 1203.65039
Berkels, Benjamin; Rätz, Andreas; Rumpf, Martin; Voigt, Axel
11
2008
Liquid crystals on deformable surfaces. Zbl 1472.82040
Nitschke, Ingo; Reuther, Sebastian; Voigt, Axel
11
2020
A multigrid finite element method for reaction-diffusion systems on surfaces. Zbl 1213.65128
Landsberg, Christoph; Voigt, Axel
10
2010
Surface phase separation and flow in a simple model of multicomponent drops and vesicles. Zbl 1153.76441
Lowengrub, J. S.; Xu, J-J.; Voigt, A.
9
2007
Thermodynamically consistent models for two-component vesicles. Zbl 1306.92014
Haußer, Frank; Marth, Wieland; Li, Shuwang; Lowengrub, John; Rätz, Andreas; Voigt, Axel
9
2013
Signaling networks and cell motility: a computational approach using a phase field description. Zbl 1345.92033
Marth, Wieland; Voigt, Axel
8
2014
Development and analysis of a block-preconditioner for the phase-field crystal equation. Zbl 1320.82059
Praetorius, Simon; Voigt, Axel
8
2015
A note on the convergence analysis of a diffuse-domain approach. Zbl 1284.35068
Franz, Sebastian; Gärtner, Roland; Roos, Hans-Görg; Voigt, Axel
8
2012
Nematic liquid crystals on curved surfaces: a thin film limit. Zbl 1402.82021
Nitschke, Ingo; Nestler, Michael; Praetorius, Simon; Löwen, Hartmut; Voigt, Axel
8
2018
Adaptive full domain covering meshes for parallel finite element computations. Zbl 1132.65107
Vey, S.; Voigt, A.
7
2007
A diffuse-interface approximation for step flow in epitaxial growth. Zbl 1070.82033
Otto, Felix; Penzler, Patrick; Rätz, Andreas; Rump, Tobias; Voigt, Axel
7
2004
Incompressible two-phase flows with an inextensible Newtonian fluid interface. Zbl 1351.76326
Reuther, Sebastian; Voigt, Axel
7
2016
Locomotion, wrinkling, and budding of a multicomponent vesicle in viscous fluids. Zbl 1282.35420
Li, Shuwang; Lowengrub, John; Voigt, Axel
7
2012
A numerical scheme for regularized anisotropic curve shortening flow. Zbl 1114.74057
Haußer, Frank; Voigt, Axel
5
2006
A continuous approach to discrete ordering on \(\mathbb{S}^2\). Zbl 1219.35341
Backofen, Rainer; Gräf, Manuel; Potts, Daniel; Praetorius, Simon; Voigt, Axel; Witkowski, Thomas
5
2011
Observer-invariant time derivatives on moving surfaces. Zbl 1491.53016
Nitschke, Ingo; Voigt, Axel
5
2022
Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations. Zbl 1501.76053
Brandner, Philip; Jankuhn, Thomas; Praetorius, Simon; Reusken, Arnold; Voigt, Axel
5
2022
Buckling instability of viral capsids – a continuum approach. Zbl 1402.92325
Aland, Sebastian; Rätz, Andreas; Röger, Matthias; Voigt, Axel
4
2012
Numerical simulation of industrial crystal growth. Zbl 1009.82001
Voigt, Axel
4
2001
Geodesic evolution laws – a level-set approach. Zbl 1179.35172
Stöcker, Christina; Voigt, Axel
4
2008
A discrete scheme for regularized anisotropic diffusion: a 6th order geometric evolution equation. Zbl 1095.35054
Hausser, Frank; Voigt, Axel
4
2005
An adaptive finite element multi-mesh approach for interacting deformable objects in flow. Zbl 1342.35382
Ling, Siqi; Marth, Wieland; Praetorius, Simon; Voigt, Axel
4
2016
Transfer operator-based extraction of coherent features on surfaces. Zbl 1370.76140
Padberg-Gehle, Kathrin; Reuther, Sebastian; Praetorius, Simon; Voigt, Axel
4
2017
Doubly degenerate diffuse interface models of surface diffusion. Zbl 1473.35526
Salvalaglio, Marco; Voigt, Axel; Wise, Steven M.
4
2021
The influence of electric fields on nanostructures-simulation and control. Zbl 1192.78028
Haußer, Frank; Rasche, Sandra; Voigt, Axel
3
2010
A level set approach to anisotropic surface evolution with free adatoms. Zbl 1171.35404
Stöcker, Christina; Voigt, Axel
3
2008
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
3
2005
Fluid deformable surfaces. Zbl 1430.76053
Voigt, Axel
3
2019
Hybrid parallelization of an adaptive finite element code. Zbl 1195.65135
Voigt, Axel; Witkowski, Thomas
3
2010
A step-flow model for the heteroepitaxial growth of strained, substitutional, binary alloy films with phase segregation. I: Theory. Zbl 1254.74093
Haußer, Frank; Jabbour, Michel E.; Voigt, Axel
2
2007
Finite element-based level set methods for higher order flows. Zbl 1203.76111
Burger, Martin; Stöcker, Christina; Voigt, Axel
2
2008
The radiosity equation for solving global heat transfer in industrial furnaces. Zbl 1054.80014
Voigt, A.; Hanssen, N.; Weichmann, C.
2
2004
Stability of a circular epitaxial island. Zbl 1086.35109
Li, Bo; Rätz, Andreas; Voigt, Axel
2
2004
Control of nanostructures through electric fields and related free boundary problems. Zbl 1356.49070
Haußer, Frank; Janssen, Sandra; Voigt, Axel
2
2012
Asymptotic behavior of solutions to the Cahn-Hilliard equation in spherically symmetric domains. Zbl 1027.35043
Voigt, Axel; Hoffman, Karl-Heinz
2
2002
Active nematodynamics on curved surfaces – the influence of geometric forces on motion patterns of topological defects. Zbl 07493183
Nestler, Michael; Voigt, Axel
2
2022
Doubly degenerate diffuse interface models of anisotropic surface diffusion. Zbl 1473.35525
Salvalaglio, Marco; Selch, Maximilian; Voigt, Axel; Wise, Steven M.
2
2021
Finite element method for epitaxial growth with thermodynamic boundary conditions. Zbl 1084.35105
Bänsch, Eberhard; Hausser, Frank; Voigt, Axel
1
2005
Multiscale modeling in epitaxial growth. Papers based on the presentation at the workshop, Oberwolfach, Germany, January 18–24, 2004. Zbl 1078.82001
1
2005
A \(2+1\)-dimensional terrace-step-kink model for epitaxial growth far from equilibrium. Zbl 1233.35204
Balykov, Lev; Voigt, Axel
1
2006
Multiscale modelling in epitaxial growth. Zbl 1077.82500
1
2004
A finite element framework for Burton-Cabrera-Frank equation. Zbl 1179.80049
Haußer, Frank; Voigt, Axel
1
2005
Defects in active nematics - algorithms for identification and tracking. Zbl 1487.76008
Wenzel, Dennis; Nestler, Michael; Reuther, Sebastian; Simon, Maximilian; Voigt, Axel
1
2021
Observer-invariant time derivatives on moving surfaces. Zbl 1491.53016
Nitschke, Ingo; Voigt, Axel
5
2022
Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations. Zbl 1501.76053
Brandner, Philip; Jankuhn, Thomas; Praetorius, Simon; Reusken, Arnold; Voigt, Axel
5
2022
Active nematodynamics on curved surfaces – the influence of geometric forces on motion patterns of topological defects. Zbl 07493183
Nestler, Michael; Voigt, Axel
2
2022
Doubly degenerate diffuse interface models of surface diffusion. Zbl 1473.35526
Salvalaglio, Marco; Voigt, Axel; Wise, Steven M.
4
2021
Doubly degenerate diffuse interface models of anisotropic surface diffusion. Zbl 1473.35525
Salvalaglio, Marco; Selch, Maximilian; Voigt, Axel; Wise, Steven M.
2
2021
Defects in active nematics - algorithms for identification and tracking. Zbl 1487.76008
Wenzel, Dennis; Nestler, Michael; Reuther, Sebastian; Simon, Maximilian; Voigt, Axel
1
2021
A numerical approach for fluid deformable surfaces. Zbl 1460.76066
Reuther, S.; Nitschke, I.; Voigt, Axel
13
2020
Liquid crystals on deformable surfaces. Zbl 1472.82040
Nitschke, Ingo; Reuther, Sebastian; Voigt, Axel
11
2020
Convexity splitting in a phase field model for surface diffusion. Zbl 1501.65063
Backofen, Rainer; Wise, Steven M.; Salvalaglio, Marco; Voigt, Axel
14
2019
A finite element approach for vector- and tensor-valued surface PDEs. Zbl 1452.65352
Nestler, Michael; Nitschke, Ingo; Voigt, Axel
13
2019
Fluid deformable surfaces. Zbl 1430.76053
Voigt, Axel
3
2019
Orientational order on surfaces: the coupling of topology, geometry, and dynamics. Zbl 1391.35335
Nestler, Michael; Nitschke, Ingo; Praetorius, Simon; Voigt, Axel
14
2018
Erratum: “The interplay of curvature and vortices in flow on curved surfaces”. Zbl 1403.35243
Reuther, Sebastian; Voigt, Axel
14
2018
Nematic liquid crystals on curved surfaces: a thin film limit. Zbl 1402.82021
Nitschke, Ingo; Nestler, Michael; Praetorius, Simon; Löwen, Hartmut; Voigt, Axel
8
2018
Discrete exterior calculus (DEC) for the surface Navier-Stokes equation. Zbl 1391.76563
Nitschke, Ingo; Reuther, Sebastian; Voigt, Axel
26
2017
Transfer operator-based extraction of coherent features on surfaces. Zbl 1370.76140
Padberg-Gehle, Kathrin; Reuther, Sebastian; Praetorius, Simon; Voigt, Axel
4
2017
Margination of white blood cells: a computational approach by a hydrodynamic phase field model. Zbl 1382.76304
Marth, Wieland; Aland, Sebastian; Voigt, Axel
16
2016
Incompressible two-phase flows with an inextensible Newtonian fluid interface. Zbl 1351.76326
Reuther, Sebastian; Voigt, Axel
7
2016
An adaptive finite element multi-mesh approach for interacting deformable objects in flow. Zbl 1342.35382
Ling, Siqi; Marth, Wieland; Praetorius, Simon; Voigt, Axel
4
2016
The interplay of curvature and vortices in flow on curved surfaces. Zbl 1320.35289
Reuther, S.; Voigt, A.
25
2015
Software concepts and numerical algorithms for a scalable adaptive parallel finite element method. Zbl 1334.65160
Witkowski, T.; Ling, S.; Praetorius, S.; Voigt, A.
22
2015
Development and analysis of a block-preconditioner for the phase-field crystal equation. Zbl 1320.82059
Praetorius, Simon; Voigt, Axel
8
2015
Diffuse interface models of locally inextensible vesicles in a viscous fluid. Zbl 1349.76933
Aland, Sebastian; Egerer, Sabine; Lowengrub, John; Voigt, Axel
37
2014
Signaling networks and cell motility: a computational approach using a phase field description. Zbl 1345.92033
Marth, Wieland; Voigt, Axel
8
2014
Thermodynamically consistent models for two-component vesicles. Zbl 1306.92014
Haußer, Frank; Marth, Wieland; Li, Shuwang; Lowengrub, John; Rätz, Andreas; Voigt, Axel
9
2013
A finite element approach to incompressible two-phase flow on manifolds. Zbl 1275.76162
Nitschke, I.; Voigt, A.; Wensch, J.
43
2012
Phase-field approaches to structural topology optimization. Zbl 1356.49044
Blank, Luise; Garcke, Harald; Sarbu, Lavinia; Srisupattarawanit, Tarin; Styles, Vanessa; Voigt, Axel
34
2012
A note on the convergence analysis of a diffuse-domain approach. Zbl 1284.35068
Franz, Sebastian; Gärtner, Roland; Roos, Hans-Görg; Voigt, Axel
8
2012
Locomotion, wrinkling, and budding of a multicomponent vesicle in viscous fluids. Zbl 1282.35420
Li, Shuwang; Lowengrub, John; Voigt, Axel
7
2012
Buckling instability of viral capsids – a continuum approach. Zbl 1402.92325
Aland, Sebastian; Rätz, Andreas; Röger, Matthias; Voigt, Axel
4
2012
Control of nanostructures through electric fields and related free boundary problems. Zbl 1356.49070
Haußer, Frank; Janssen, Sandra; Voigt, Axel
2
2012
A diffuse-interface method for two-phase flows with soluble surfactants. Zbl 1428.76210
Teigen, Knut Erik; Song, Peng; Lowengrub, John; Voigt, Axel
84
2011
A continuum model of colloid-stabilized interfaces. Zbl 1308.76159
Aland, Sebastian; Lowengrub, John; Voigt, Axel
12
2011
A continuous approach to discrete ordering on \(\mathbb{S}^2\). Zbl 1219.35341
Backofen, Rainer; Gräf, Manuel; Potts, Daniel; Praetorius, Simon; Voigt, Axel; Witkowski, Thomas
5
2011
Two-phase flow in complex geometries: a diffuse domain approach. Zbl 1231.76200
Aland, S.; Lowengrub, J.; Voigt, A.
30
2010
Dynamics of multicomponent vesicles in a viscous fluid. Zbl 1381.76053
Sohn, Jin Sun; Tseng, Yu-Hau; Li, Shuwang; Voigt, Axel; Lowengrub, John S.
26
2010
A multigrid finite element method for reaction-diffusion systems on surfaces. Zbl 1213.65128
Landsberg, Christoph; Voigt, Axel
10
2010
The influence of electric fields on nanostructures-simulation and control. Zbl 1192.78028
Haußer, Frank; Rasche, Sandra; Voigt, Axel
3
2010
Hybrid parallelization of an adaptive finite element code. Zbl 1195.65135
Voigt, Axel; Witkowski, Thomas
3
2010
Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027
Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A.
76
2009
A new phase-field model for strongly anisotropic systems. Zbl 1186.80014
Torabi, Solmaz; Lowengrub, John; Voigt, Axel; Wise, Steven
71
2009
A diffuse-interface approach for modelling transport, diffusion and adsorption/desorption of material quantities on a deformable interface. Zbl 1186.35168
Teigen, Knut Erik; Li, Xiangrong; Lowengrub, John; Wang, Fan; Voigt, Axel
51
2009
Geometric evolution laws for thin crystalline films: modeling and numerics. Zbl 1364.74062
Li, Bo; Lowengrub, John; Ratz, Andreas; Voigt, Axel
17
2009
AMDiS-adaptive multidimensional simulations: Parallel concepts. Zbl 1267.65185
Ribalta, Angel; Stoecker, Christina; Vey, Simon; Voigt, Axel
14
2008
Extracting grain boundaries and macroscopic deformations from images on atomic scale. Zbl 1203.65039
Berkels, Benjamin; Rätz, Andreas; Rumpf, Martin; Voigt, Axel
11
2008
Geodesic evolution laws – a level-set approach. Zbl 1179.35172
Stöcker, Christina; Voigt, Axel
4
2008
A level set approach to anisotropic surface evolution with free adatoms. Zbl 1171.35404
Stöcker, Christina; Voigt, Axel
3
2008
Finite element-based level set methods for higher order flows. Zbl 1203.76111
Burger, Martin; Stöcker, Christina; Voigt, Axel
2
2008
A discrete scheme for parametric anisotropic surface diffusion. Zbl 1116.65112
Haußer, Frank; Voigt, Axel
16
2007
A level set approach to anisotropic flows with curvature regularization. Zbl 1201.82049
Burger, Martin; Haußer, Frank; Stöcker, Christina; Voigt, Axel
14
2007
A diffuse-interface approximation for surface diffusion including adatoms. Zbl 1117.35315
Rätz, Andreas; Voigt, A.
11
2007
Surface phase separation and flow in a simple model of multicomponent drops and vesicles. Zbl 1153.76441
Lowengrub, J. S.; Xu, J-J.; Voigt, A.
9
2007
Adaptive full domain covering meshes for parallel finite element computations. Zbl 1132.65107
Vey, S.; Voigt, A.
7
2007
A step-flow model for the heteroepitaxial growth of strained, substitutional, binary alloy films with phase segregation. I: Theory. Zbl 1254.74093
Haußer, Frank; Jabbour, Michel E.; Voigt, Axel
2
2007
PDE’s on surfaces – a diffusive interface approach. Zbl 1113.35092
Rätz, Andreas; Voigt, Axel
58
2006
Surface evolution of elastically stressed films under deposition by a diffuse interface model. Zbl 1088.74035
Rätz, Andreas; Ribalta, Angel; Voigt, Axel
30
2006
A numerical scheme for regularized anisotropic curve shortening flow. Zbl 1114.74057
Haußer, Frank; Voigt, Axel
5
2006
A \(2+1\)-dimensional terrace-step-kink model for epitaxial growth far from equilibrium. Zbl 1233.35204
Balykov, Lev; Voigt, Axel
1
2006
A discrete scheme for regularized anisotropic diffusion: a 6th order geometric evolution equation. Zbl 1095.35054
Hausser, Frank; Voigt, Axel
4
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
3
2005
Finite element method for epitaxial growth with thermodynamic boundary conditions. Zbl 1084.35105
Bänsch, Eberhard; Hausser, Frank; Voigt, Axel
1
2005
Multiscale modeling in epitaxial growth. Papers based on the presentation at the workshop, Oberwolfach, Germany, January 18–24, 2004. Zbl 1078.82001
1
2005
A finite element framework for Burton-Cabrera-Frank equation. Zbl 1179.80049
Haußer, Frank; Voigt, Axel
1
2005
Finite element method for epitaxial growth with attachment–detachment kinetics. Zbl 1100.82024
Bänsch, Eberhard; Haußer, Frank; Lakkis, Omar; Li, Bo; Voigt, Axel
13
2004
A diffuse-interface approximation for step flow in epitaxial growth. Zbl 1070.82033
Otto, Felix; Penzler, Patrick; Rätz, Andreas; Rump, Tobias; Voigt, Axel
7
2004
The radiosity equation for solving global heat transfer in industrial furnaces. Zbl 1054.80014
Voigt, A.; Hanssen, N.; Weichmann, C.
2
2004
Stability of a circular epitaxial island. Zbl 1086.35109
Li, Bo; Rätz, Andreas; Voigt, Axel
2
2004
Multiscale modelling in epitaxial growth. Zbl 1077.82500
1
2004
Asymptotic behavior of solutions to the Cahn-Hilliard equation in spherically symmetric domains. Zbl 1027.35043
Voigt, Axel; Hoffman, Karl-Heinz
2
2002
Numerical simulation of industrial crystal growth. Zbl 1009.82001
Voigt, Axel
4
2001
all top 5

Cited by 902 Authors

43 Voigt, Axel
23 Lowengrub, John Samuel
18 Garcke, Harald
13 Olshanskii, Maxim A.
12 Kim, Junseok
12 Lai, Mingchih
12 Miranville, Alain M.
12 Reusken, Arnold
12 Yang, Xiaofeng
11 Yang, Junxiang
10 Aland, Sebastian
10 Nitschke, Ingo
10 Nürnberg, Robert
10 Wise, Steven M.
9 Jiang, Wei
8 Li, Shuwang
8 Li, Yibao
8 Rätz, Andreas
8 Zhao, Quan
7 Bao, Weizhu
7 Elliott, Charles M.
7 Kou, Jisheng
7 Praetorius, Simon
7 Reuther, Sebastian
7 Sun, Shuyu
7 Wang, Cheng
6 Blank, Luise
6 Hausser, Frank
6 Nestler, Michael
6 Quaini, Annalisa
6 Rabczuk, Timon
6 Styles, Vanessa
5 Barrett, John William
5 Guo, Zhenlin
5 Jankuhn, Thomas
5 Lam, Kei Fong
5 Li, Xiaoli
5 Lin, Ping
5 Liu, Zhengguang
5 Münch, Andreas
5 Röger, Matthias
5 Seol, Yunchang
5 Shen, Jie
5 Tornberg, Anna-Karin
5 Wang, Qi
5 Wu, Hao
4 Abels, Helmut
4 Arroyo, Marino
4 Brandner, Philip
4 Burger, Martin
4 Chen, Ying
4 Cherfils, Laurence
4 Druet, Pierre-Étienne
4 Feng, Xinlong
4 Gómez, Héctor J.
4 Knopf, Patrik
4 Liu, Chun
4 Morini, Massimiliano
4 Qin, Yuzhe
4 Ristinmaa, Matti
4 Schillinger, Dominik
4 Stinner, Bjorn
4 Valizadeh, Navid
4 Wallin, Mathias
4 Yao, Jun
4 Yushutin, Vladimir
4 Zhiliakov, Alexander
4 Zhu, Guangpu
3 Bachini, Elena
3 Burns, Keaton J.
3 Chen, Chuanjun
3 Cheng, Kelong
3 Du, Qiang
3 Fonseca, Irene
3 Fusco, Nicola
3 Hu, Xianliang
3 Huang, Qiongao
3 Larson, Mats G.
3 Leoni, Giovanni
3 Li, Aifen
3 Li, Yixin
3 Lin, Guang
3 Lu, Jianfeng
3 Marth, Wieland
3 Millán, Daniel
3 Ouyang, Jie
3 Palzhanov, Yerbol
3 Promislow, Keith Steven
3 Rohde, Christian
3 Rupprecht, Christoph
3 Salac, David
3 Schlottbom, Matthias
3 Sengers, Arnaud
3 Siegel, Michael
3 Tavakoli, Rouhollah
3 Verani, Marco
3 Wagner, Barbara A.
3 Wang, Xiaoqiang
3 Wirth, Benedikt
3 Xu, Jianjun
...and 802 more Authors
all top 5

Cited in 125 Serials

103 Journal of Computational Physics
47 Computer Methods in Applied Mechanics and Engineering
23 Journal of Fluid Mechanics
19 Journal of Scientific Computing
17 SIAM Journal on Scientific Computing
12 Journal of Computational and Applied Mathematics
10 Computers and Fluids
10 Computers & Mathematics with Applications
10 Communications in Computational Physics
9 Applied Mathematics Letters
8 International Journal for Numerical Methods in Engineering
8 Multiscale Modeling & Simulation
7 Mathematics of Computation
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Computer Physics Communications
6 Mathematical Methods in the Applied Sciences
6 SIAM Journal on Numerical Analysis
6 Numerical Methods for Partial Differential Equations
6 SIAM Journal on Applied Mathematics
5 Journal of Mathematical Biology
5 Applied Numerical Mathematics
5 SIAM Journal on Mathematical Analysis
5 Journal of Nonlinear Science
5 Advances in Computational Mathematics
5 Computational Methods in Applied Mathematics
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Archive for Rational Mechanics and Analysis
4 Journal of Geometry and Physics
4 Applied Mathematics and Computation
4 Applied Mathematics and Optimization
4 Numerische Mathematik
4 SIAM Journal on Control and Optimization
4 Computational Mechanics
4 Applications of Mathematics
4 Interfaces and Free Boundaries
4 Discrete and Continuous Dynamical Systems. Series S
3 Applicable Analysis
3 Journal of Mathematical Analysis and Applications
3 Journal of the Mechanics and Physics of Solids
3 Bulletin of Mathematical Biology
3 Physica D
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Computational Geosciences
3 Archives of Computational Methods in Engineering
3 Communications on Pure and Applied Analysis
3 GAMM-Mitteilungen
2 Journal of Engineering Mathematics
2 Meccanica
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Numerical Algorithms
2 Proceedings of the National Academy of Sciences of the United States of America
2 Continuum Mechanics and Thermodynamics
2 Physics of Fluids
2 Engineering Analysis with Boundary Elements
2 Vietnam Journal of Mathematics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Journal of Numerical Mathematics
2 SIAM Journal on Applied Dynamical Systems
2 Acta Numerica
2 Inverse Problems and Imaging
2 SIAM Journal on Imaging Sciences
2 Advances in Applied Mathematics and Mechanics
2 Journal of Theoretical Biology
2 Advances in Nonlinear Analysis
2 East Asian Journal on Applied Mathematics
1 Modern Physics Letters B
1 Communications in Mathematical Physics
1 International Journal for Numerical Methods in Fluids
1 Inverse Problems
1 Nonlinearity
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 BIT
1 Computing
1 Czechoslovak Mathematical Journal
1 Kybernetika
1 Mathematics and Computers in Simulation
1 Numerical Functional Analysis and Optimization
1 Quarterly of Applied Mathematics
1 Computer Aided Geometric Design
1 Journal of Computational Mathematics
1 ACM Transactions on Graphics
1 Asymptotic Analysis
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 Topological Methods in Nonlinear Analysis
1 Calculus of Variations and Partial Differential Equations
1 Communications in Numerical Methods in Engineering
1 Applicationes Mathematicae
1 Computational and Applied Mathematics
1 NoDEA. Nonlinear Differential Equations and Applications
1 Advances in Differential Equations
1 Computing and Visualization in Science
1 Optimization Methods & Software
1 Mathematical and Computer Modelling of Dynamical Systems
1 Journal of Mathematical Fluid Mechanics
1 European Journal of Mechanics. A. Solids
1 Nonlinear Analysis. Real World Applications
...and 25 more Serials

Citations by Year

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