research
∙
09/21/2023
A structure-preserving finite element method for the multi-phase Mullins-Sekerka problem with triple junctions
We consider a sharp interface formulation for the multi-phase Mullins-Se...
share
research
∙
05/30/2023
Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow
We analyze numerical approximations for axisymmetric two-phase flow in t...
research
∙
03/06/2023
Unfitted finite element methods for axisymmetric two-phase flow
We propose and analyze unfitted finite element approximations for the tw...
research
∙
12/16/2022
Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches
We consider the numerical approximation of a sharp-interface model for t...
research
∙
10/04/2022
A diffuse-interface approach for solid-state dewetting with anisotropic surface energies
We present a diffuse-interface model for the solid-state dewetting probl...
research
∙
09/28/2022
Deep learning for gradient flows using the Brezis-Ekeland principle
We propose a deep learning method for the numerical solution of partial ...
research
∙
09/14/2022
An unconditionally stable finite element scheme for anisotropic curve shortening flow
Based on a recent novel formulation of parametric anisotropic curve shor...
research
∙
04/27/2022
Discrete hyperbolic curvature flow in the plane
Hyperbolic curvature flow is a geometric evolution equation that in the ...
research
∙
02/14/2022
A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters
We consider the evolution of curve networks in two dimensions (2d) and s...
research
∙
11/30/2021
A structure preserving front tracking finite element method for the Mullins–Sekerka problem
We introduce and analyse a fully discrete approximation for a mathematic...
research
∙
11/26/2021
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations
We propose and analyze volume-preserving parametric finite element metho...
research
∙
10/09/2021
A novel finite element approximation of anisotropic curve shortening flow
We extend the DeTurck trick from the classical isotropic curve shortenin...
research
∙
12/04/2020
Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds
We present variational approximations of boundary value problems for cur...
research
∙
10/19/2020
Error analysis for a finite difference scheme for axisymmetric mean curvature flow of genus-0 surfaces
We consider a finite difference approximation of mean curvature flow for...
research
∙
09/07/2020
Finite element approximation of a phase field model for tumour growth
We consider a fully practical finite element approximation of a diffuse ...
research
∙
03/06/2020
Structure preserving discretisations of gradient flows for axisymmetric two-phase biomembranes
The form and evolution of multi-phase biomembranes is of fundamental imp...
research
∙
11/13/2019
A finite element error analysis for axisymmetric mean curvature flow
We consider the numerical approximation of axisymmetric mean curvature f...
research
∙
11/04/2019
Stable approximations for axisymmetric Willmore flow for closed and open surfaces
For a hypersurface in R^3, Willmore flow is defined as the L^2–gradient ...
research
∙
10/31/2019
Fitted front tracking methods for two-phase incompressible Navier–Stokes flow: Eulerian and ALE finite element discretizations
We investigate novel fitted finite element approximations for two-phase ...
research
∙
11/15/2018