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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...
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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...
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03/06/2023
Unfitted finite element methods for axisymmetric two-phase flow
We propose and analyze unfitted finite element approximations for the tw...
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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...
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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...
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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 ...
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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...
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04/27/2022
Discrete hyperbolic curvature flow in the plane
Hyperbolic curvature flow is a geometric evolution equation that in the ...
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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...
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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...
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11/26/2021
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations
We propose and analyze volume-preserving parametric finite element metho...
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10/09/2021
A novel finite element approximation of anisotropic curve shortening flow
We extend the DeTurck trick from the classical isotropic curve shortenin...
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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...
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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...
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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 ...
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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...
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11/13/2019
A finite element error analysis for axisymmetric mean curvature flow
We consider the numerical approximation of axisymmetric mean curvature f...
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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 ...
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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 ...
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11/15/2018
