Edit Profile (opens in new tab) Voigt, Axel Co-Author Distance Author ID: 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 Documents Indexed: 98 Publications since 2001, including 1 Book and 16 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 96 Co-Authors with 96 Joint Publications 1,820 Co-Co-Authors 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 all top 5 Fields 46 Partial differential equations (35-XX) 35 Numerical analysis (65-XX) 34 Fluid mechanics (76-XX) 21 Statistical mechanics, structure of matter (82-XX) 18 Mechanics of deformable solids (74-XX) 13 Classical thermodynamics, heat transfer (80-XX) 11 Differential geometry (53-XX) 9 Biology and other natural sciences (92-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 General and overarching topics; collections (00-XX) 4 Mechanics of particles and systems (70-XX) 2 Algebraic geometry (14-XX) 2 Computer science (68-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 34 Fields 296 Numerical analysis (65-XX) 246 Fluid mechanics (76-XX) 228 Partial differential equations (35-XX) 125 Mechanics of deformable solids (74-XX) 52 Biology and other natural sciences (92-XX) 42 Statistical mechanics, structure of matter (82-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 20 Global analysis, analysis on manifolds (58-XX) 16 Differential geometry (53-XX) 15 Classical thermodynamics, heat transfer (80-XX) 10 Operations research, mathematical programming (90-XX) 8 Computer science (68-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Approximations and expansions (41-XX) 6 Information and communication theory, circuits (94-XX) 5 Optics, electromagnetic theory (78-XX) 3 Algebraic geometry (14-XX) 3 Functional analysis (46-XX) 3 Mechanics of particles and systems (70-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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