Diffusion of tangential tensor fields: numerical issues and influence of geometric properties.
J. Num. Math., March, 2024
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
Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations.
SIAM J. Sci. Comput., 2022
Defects in Active Nematics - Algorithms for Identification and Tracking.
Comput. Methods Appl. Math., 2021
A Phase Field Approach to Trabecular Bone Remodeling.
Frontiers Appl. Math. Stat., 2020
Doubly Degenerate Diffuse Interface Models of Anisotropic Surface Diffusion.
CoRR, 2020
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
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
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
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
Diffuse interface models of locally inextensible vesicles in a viscous fluid.
J. Comput. Phys., 2014
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
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
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
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
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
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
Finite Element Method for Epitaxial Growth with Thermodynamic Boundary Conditions.
SIAM J. Sci. Comput., 2005
Konzept eines Objekt-orientierten Verwaltungssystems für Softwarekonstruktionssysteme.
PhD thesis, 1987