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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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05/24/2023
Approximation and existence of a viscoelastic phase-field model for tumour growth in two and three dimensions
In this work, we present a phase-field model for tumour growth, where a ...
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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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01/19/2023
A Cahn-Hilliard phase field model coupled to an Allen-Cahn model of viscoelasticity at large strains
We propose a new Cahn-Hilliard phase field model coupled to incompressib...
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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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04/08/2022
Viscoelastic Cahn–Hilliard models for tumour growth
We introduce a new phase field model for tumour growth where viscoelasti...
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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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02/07/2022
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces
An evolving surface finite element discretisation is analysed for the ev...
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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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08/03/2021
Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport
In this work, we consider a diffuse interface model for tumour growth in...
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07/13/2021
A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics
The aim of this paper is to develop suitable models for the phenomenon o...
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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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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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12/17/2019
Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data
Parameters in mathematical models for glioblastoma multiforme (GBM) tumo...
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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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11/15/2018
Stable discretizations of elastic flow in Riemannian manifolds
The elastic flow, which is the L^2-gradient flow of the elastic energy, ...
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01/17/2018
Cahn--Hilliard inpainting with the double obstacle potential
The inpainting of damaged images has a wide range of applications and ma...
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06/23/2015
Segmentation of Three-dimensional Images with Parametric Active Surfaces and Topology Changes
In this paper, we introduce a novel parametric method for segmentation o...
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05/01/2015
Segmentation and Restoration of Images on Surfaces by Parametric Active Contours with Topology Changes
In this article, a new method for segmentation and restoration of images...
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04/27/2015
Image Segmentation and Restoration Using Parametric Contours With Free Endpoints
In this paper, we introduce a novel approach for active contours with fr...
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08/10/2013