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ORCIDAxel Voigt
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- affiliation: TU Dresden, Department of Mathematics, Germany
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2020 – today
- 2024
[j38]Elena Bachini
, Philip Brandner, Thomas Jankuhn, Michael Nestler, Simon Praetorius, Arnold Reusken, Axel Voigt:
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties. J. Num. Math. 32(1): 55-76 (2024)- 2023
- [j37]Veit Krause, Axel Voigt:
A numerical approach for fluid deformable surfaces with conserved enclosed volume. J. Comput. Phys. 486: 112097 (2023) - [i9]Michal Benes, Miroslav Kolár, Jan M. Sischka, Axel Voigt:
Degenerate area preserving surface Allen-Cahn equation and its sharp interface limit. CoRR abs/2303.04018 (2023) - [i8]Michael Nestler, Axel Voigt:
A diffuse interface approach for vector-valued PDEs on surfaces. CoRR abs/2303.07135 (2023) - [i7]Elena Bachini, Veit Krause, Ingo Nitschke, Axel Voigt:
Derivation and simulation of a two-phase fluid deformable surface model. CoRR abs/2305.15147 (2023) - [i6]Veit Krause, Eric Kunze, Axel Voigt:
A surface finite element method for the Navier-Stokes equations on evolving surfaces. CoRR abs/2306.08917 (2023) - 2022
- [j36]Philip Brandner, Thomas Jankuhn, Simon Praetorius, Arnold Reusken, Axel Voigt:
Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations. SIAM J. Sci. Comput. 44(4): 1807- (2022) - [i5]Elena Bachini, Philip Brandner, Thomas Jankuhn, Michael Nestler, Simon Praetorius, Arnold Reusken, Axel Voigt:
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties. CoRR abs/2205.12581 (2022) - [i4]Veit Krause, Axel Voigt:
A numerical approach for fluid deformable surfaces with conserved enclosed volume. CoRR abs/2210.03585 (2022) - 2021
- [j35]Dennis Wenzel, Michael Nestler, Sebastian Reuther, Maximilian Simon, Axel Voigt:
Defects in Active Nematics - Algorithms for Identification and Tracking. Comput. Methods Appl. Math. 21(3): 683-692 (2021) - [i3]Philip Brandner, Thomas Jankuhn, Simon Praetorius, Arnold Reusken, Axel Voigt:
Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations. CoRR abs/2103.03843 (2021) - 2020
- [j34]Sebastian Aland, Florian Stenger, Robert Müller, Andreas Deutsch, Axel Voigt:
A Phase Field Approach to Trabecular Bone Remodeling. Frontiers Appl. Math. Stat. 6: 12 (2020) - [i2]Marco Salvalaglio, Maximilian Selch, Axel Voigt, Steven M. Wise:
Doubly Degenerate Diffuse Interface Models of Anisotropic Surface Diffusion. CoRR abs/2004.08712 (2020)
2010 – 2019
- 2019
- [j33]Michael Nestler, Ingo Nitschke, Axel Voigt:
A finite element approach for vector- and tensor-valued surface PDEs. J. Comput. Phys. 389: 48-61 (2019) - [j32]Florian Stenger, Axel Voigt:
Towards Infinite Tilings with Symmetric Boundaries. Symmetry 11(4): 444 (2019) - [i1]Marco Salvalaglio, Axel Voigt, Steven M. Wise:
Doubly Degenerate Diffuse Interface Models of Surface Diffusion. CoRR abs/1909.04458 (2019) - 2018
- [j31]Michael Nestler, Ingo Nitschke, Simon Praetorius, Axel Voigt:
Orientational Order on Surfaces: The Coupling of Topology, Geometry, and Dynamics. J. Nonlinear Sci. 28(1): 147-191 (2018) - [j30]Sebastian Reuther, Axel Voigt:
Erratum: The Interplay of Curvature and Vortices in Flow on Curved Surfaces. Multiscale Model. Simul. 16(3): 1448-1453 (2018) - [j29]Jerónimo Castrillón, Matthias Lieber, Sascha Klüppelholz, Marcus Völp, Nils Asmussen, Uwe Aßmann, Franz Baader, Christel Baier, Gerhard P. Fettweis, Jochen Fröhlich, Andrés Goens, Sebastian Haas, Dirk Habich, Hermann Härtig, Mattis Hasler, Immo Huismann, Tomas Karnagel, Sven Karol, Akash Kumar, Wolfgang Lehner, Linda Leuschner, Siqi Ling, Steffen Märcker, Christian Menard, Johannes Mey, Wolfgang E. Nagel, Benedikt Nöthen, Rafael Peñaloza, Michael Raitza, Jörg Stiller, Annett Ungethüm, Axel Voigt, Sascha Wunderlich:
A Hardware/Software Stack for Heterogeneous Systems. IEEE Trans. Multi Scale Comput. Syst. 4(3): 243-259 (2018) - 2016
- [j28]Siqi Ling, Wieland Marth, Simon Praetorius, Axel Voigt:
An Adaptive Finite Element Multi-Mesh Approach for Interacting Deformable Objects in Flow. Comput. Methods Appl. Math. 16(3): 475-484 (2016) - [j27]Sebastian Reuther, Axel Voigt:
Incompressible two-phase flows with an inextensible Newtonian fluid interface. J. Comput. Phys. 322: 850-858 (2016) - [j26]Andreas Naumann, Norman Lang, Marian Partzsch, Michael Beitelschmidt, Peter Benner, Axel Voigt, Jörg Wensch:
Computation of thermo-elastic deformations on machine tools a study of numerical methods. Prod. Eng. 10(3): 253-263 (2016) - 2015
- [j25]Thomas Witkowski, Siqi Ling, Simon Praetorius, Axel Voigt:
Software concepts and numerical algorithms for a scalable adaptive parallel finite element method. Adv. Comput. Math. 41(6): 1145-1177 (2015) - [j24]Sebastian Reuther, Axel Voigt:
The Interplay of Curvature and Vortices in Flow on Curved Surfaces. Multiscale Model. Simul. 13(2): 632-643 (2015) - [j23]Simon Praetorius, Axel Voigt:
Development and Analysis of a Block-Preconditioner for the Phase-Field Crystal Equation. SIAM J. Sci. Comput. 37(3) (2015) - 2014
- [j22]Sebastian Aland, Sabine Egerer, John S. Lowengrub, Axel Voigt:
Diffuse interface models of locally inextensible vesicles in a viscous fluid. J. Comput. Phys. 277: 32-47 (2014) - 2012
- [j21]Sebastian Franz, Hans-Görg Roos, Roland Gärtner, Axel Voigt:
A Note on the Convergence Analysis of a Diffuse-domain Approach. Comput. Methods Appl. Math. 12(2): 153-167 (2012) - [j20]Axel Voigt, Thomas Witkowski:
A multi-mesh finite element method for Lagrange elements of arbitrary degree. J. Comput. Sci. 3(5): 420-428 (2012) - [j19]Sebastian Aland, Andreas Rätz, Matthias Röger, Axel Voigt:
Buckling Instability of Viral Capsids - A Continuum Approach. Multiscale Model. Simul. 10(1): 82-110 (2012) - [p2]Luise Blank, Harald Garcke, Lavinia Sarbu, Tarin Srisupattarawanit, Vanessa Styles, Axel Voigt:
Phase-field Approaches to Structural Topology Optimization. Constrained Optimization and Optimal Control for Partial Differential Equations 2012: 245-256 - [p1]Frank Haußer, Sandra Janssen, Axel Voigt:
Control of Nanostructures through Electric Fields and Related Free Boundary Problems. Constrained Optimization and Optimal Control for Partial Differential Equations 2012: 561-572 - 2011
- [j18]Knut Erik Teigen, Peng Song, John S. Lowengrub, Axel Voigt:
A diffuse-interface method for two-phase flows with soluble surfactants. J. Comput. Phys. 230(2): 375-393 (2011) - [j17]Rainer Backofen, Manuel Gräf, Daniel Potts, Simon Praetorius, Axel Voigt, Thomas Witkowski:
A Continuous Approach to Discrete Ordering on S2. Multiscale Model. Simul. 9(1): 314-334 (2011) - 2010
- [j16]Christoph Landsberg, Axel Voigt:
A multigrid finite element method for reaction-diffusion systems on surfaces. Comput. Vis. Sci. 13(4): 177-185 (2010) - [j15]Jin Sun Sohn, Yu-Hau Tseng, Shuwang Li, Axel Voigt, John S. Lowengrub:
Dynamics of multicomponent vesicles in a viscous fluid. J. Comput. Phys. 229(1): 119-144 (2010) - [j14]Axel Voigt, Thomas Witkowski:
Hybrid parallelization of an adaptive finite element code. Kybernetika 46(2): 316-327 (2010) - [j13]Frank Haußer, Sandra Rasche, Axel Voigt:
The influence of electric fields on nanostructures - Simulation and control. Math. Comput. Simul. 80(7): 1449-1457 (2010)
2000 – 2009
- 2008
- [j12]Benjamin Berkels, Andreas Rätz, Martin Rumpf, Axel Voigt:
Extracting Grain Boundaries and Macroscopic Deformations from Images on Atomic Scale. J. Sci. Comput. 35(1): 1-23 (2008) - [j11]Martin Burger, Christina Stöcker, Axel Voigt:
Finite Element-Based Level Set Methods for Higher Order Flows. J. Sci. Comput. 35(2-3): 77-98 (2008) - [j10]Christina Stöcker, Axel Voigt:
A Level Set Approach to Anisotropic Surface Evolution with Free Adatoms. SIAM J. Appl. Math. 69(1): 64-80 (2008) - [j9]Christina Stöcker, Axel Voigt:
Geodesic Evolution Laws---A Level-Set Approach. SIAM J. Imaging Sci. 1(4): 379-399 (2008) - 2007
- [j8]S. Vey, Axel Voigt:
Adaptive full domain covering meshes for parallel finite element computations. Computing 81(1): 53-75 (2007) - [j7]Martin Burger, Frank Haußer, Christina Stöcker, Axel Voigt:
A level set approach to anisotropic flows with curvature regularization. J. Comput. Phys. 225(1): 183-205 (2007) - [j6]Frank Haußer, Axel Voigt:
A Discrete Scheme for Parametric Anisotropic Surface Diffusion. J. Sci. Comput. 30(2): 223-235 (2007) - [j5]Frank Haußer, Michel E. Jabbour, Axel Voigt:
A Step-Flow Model for the Heteroepitaxial Growth of Strained, Substitutional, Binary Alloy Films with Phase Segregation: I. Theory. Multiscale Model. Simul. 6(1): 158-189 (2007) - [c1]Benjamin Berkels, Andreas Rätz, Martin Rumpf, Axel Voigt:
Identification of Grain Boundary Contours at Atomic Scale. SSVM 2007: 765-776 - 2006
- [j4]Frank Haußer, Axel Voigt:
A numerical scheme for regularized anisotropic curve shortening flow. Appl. Math. Lett. 19(8): 691-698 (2006) - [j3]Andreas Rätz, Angel Ribalta, Axel Voigt:
Surface evolution of elastically stressed films under deposition by a diffuse interface model. J. Comput. Phys. 214(1): 187-208 (2006) - [j2]Lev Balykov, Axel Voigt:
A 2 + 1-Dimensional Terrace-Step-Kink Model for Epitaxial Growth Far from Equilibrium. Multiscale Model. Simul. 5(1): 45-61 (2006) - 2005
- [j1]Eberhard Bänsch, Frank Haußer, Axel Voigt:
Finite Element Method for Epitaxial Growth with Thermodynamic Boundary Conditions. SIAM J. Sci. Comput. 26(6): 2029-2046 (2005)
1980 – 1989
- 1987
- [b1]Axel Voigt:
Konzept eines Objekt-orientierten Verwaltungssystems für Softwarekonstruktionssysteme. Dresden University of Technology, Germany, 1987
Coauthor Index
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