Axel Voigt

Orcid: 0000-0003-2564-3697

Affiliations:
  • TU Dresden, Department of Mathematics, Germany


According to our database1, Axel Voigt authored at least 48 papers between 1987 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties.
J. Num. Math., March, 2024

2023
A numerical approach for fluid deformable surfaces with conserved enclosed volume.
J. Comput. Phys., 2023

A surface finite element method for the Navier-Stokes equations on evolving surfaces.
CoRR, 2023

Derivation and simulation of a two-phase fluid deformable surface model.
CoRR, 2023

A diffuse interface approach for vector-valued PDEs on surfaces.
CoRR, 2023

Degenerate area preserving surface Allen-Cahn equation and its sharp interface limit.
CoRR, 2023

2022
Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations.
SIAM J. Sci. Comput., 2022

2021
Defects in Active Nematics - Algorithms for Identification and Tracking.
Comput. Methods Appl. Math., 2021

2020
A Phase Field Approach to Trabecular Bone Remodeling.
Frontiers Appl. Math. Stat., 2020

Doubly Degenerate Diffuse Interface Models of Anisotropic Surface Diffusion.
CoRR, 2020

2019
Towards Infinite Tilings with Symmetric Boundaries.
Symmetry, 2019

A finite element approach for vector- and tensor-valued surface PDEs.
J. Comput. Phys., 2019

Doubly Degenerate Diffuse Interface Models of Surface Diffusion.
CoRR, 2019

2018
A Hardware/Software Stack for Heterogeneous Systems.
IEEE Trans. Multi Scale Comput. Syst., 2018

Erratum: The Interplay of Curvature and Vortices in Flow on Curved Surfaces.
Multiscale Model. Simul., 2018

Orientational Order on Surfaces: The Coupling of Topology, Geometry, and Dynamics.
J. Nonlinear Sci., 2018

2016
Computation of thermo-elastic deformations on machine tools a study of numerical methods.
Prod. Eng., 2016

Incompressible two-phase flows with an inextensible Newtonian fluid interface.
J. Comput. Phys., 2016

An Adaptive Finite Element Multi-Mesh Approach for Interacting Deformable Objects in Flow.
Comput. Methods Appl. Math., 2016

2015
Development and Analysis of a Block-Preconditioner for the Phase-Field Crystal Equation.
SIAM J. Sci. Comput., 2015

The Interplay of Curvature and Vortices in Flow on Curved Surfaces.
Multiscale Model. Simul., 2015

Software concepts and numerical algorithms for a scalable adaptive parallel finite element method.
Adv. Comput. Math., 2015

2014
Diffuse interface models of locally inextensible vesicles in a viscous fluid.
J. Comput. Phys., 2014

2012
Buckling Instability of Viral Capsids - A Continuum Approach.
Multiscale Model. Simul., 2012

A multi-mesh finite element method for Lagrange elements of arbitrary degree.
J. Comput. Sci., 2012

A Note on the Convergence Analysis of a Diffuse-domain Approach.
Comput. Methods Appl. Math., 2012

Control of Nanostructures through Electric Fields and Related Free Boundary Problems.
Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012

Phase-field Approaches to Structural Topology Optimization.
Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012

2011
A Continuous Approach to Discrete Ordering on S<sup>2</sup>.
Multiscale Model. Simul., 2011

A diffuse-interface method for two-phase flows with soluble surfactants.
J. Comput. Phys., 2011

2010
The influence of electric fields on nanostructures - Simulation and control.
Math. Comput. Simul., 2010

Hybrid parallelization of an adaptive finite element code.
Kybernetika, 2010

Dynamics of multicomponent vesicles in a viscous fluid.
J. Comput. Phys., 2010

A multigrid finite element method for reaction-diffusion systems on surfaces.
Comput. Vis. Sci., 2010

2008
Geodesic Evolution Laws---A Level-Set Approach.
SIAM J. Imaging Sci., 2008

A Level Set Approach to Anisotropic Surface Evolution with Free Adatoms.
SIAM J. Appl. Math., 2008

Finite Element-Based Level Set Methods for Higher Order Flows.
J. Sci. Comput., 2008

Extracting Grain Boundaries and Macroscopic Deformations from Images on Atomic Scale.
J. Sci. Comput., 2008

2007
A Step-Flow Model for the Heteroepitaxial Growth of Strained, Substitutional, Binary Alloy Films with Phase Segregation: I. Theory.
Multiscale Model. Simul., 2007

A Discrete Scheme for Parametric Anisotropic Surface Diffusion.
J. Sci. Comput., 2007

A level set approach to anisotropic flows with curvature regularization.
J. Comput. Phys., 2007

Adaptive full domain covering meshes for parallel finite element computations.
Computing, 2007

Identification of Grain Boundary Contours at Atomic Scale.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2007

2006
A 2 + 1-Dimensional Terrace-Step-Kink Model for Epitaxial Growth Far from Equilibrium.
Multiscale Model. Simul., 2006

Surface evolution of elastically stressed films under deposition by a diffuse interface model.
J. Comput. Phys., 2006

A numerical scheme for regularized anisotropic curve shortening flow.
Appl. Math. Lett., 2006

2005
Finite Element Method for Epitaxial Growth with Thermodynamic Boundary Conditions.
SIAM J. Sci. Comput., 2005

1987
Konzept eines Objekt-orientierten Verwaltungssystems für Softwarekonstruktionssysteme.
PhD thesis, 1987


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