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06/15/2023
A surface finite element method for the Navier-Stokes equations on evolving surfaces
We introduce a surface finite element method for the numerical solution ...
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05/24/2023
Derivation and simulation of a two-phase fluid deformable surface model
We consider two-phase fluid deformable surfaces as model systems for bio...
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03/13/2023
A diffuse interface approach for vector-valued PDEs on surfaces
Approximating PDEs on surfaces by the diffuse interface approach allows ...
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03/07/2023
Degenerate area preserving surface Allen-Cahn equation and its sharp interface limit
We consider formal matched asymptotics to show the convergence of a dege...
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10/07/2022
A numerical approach for fluid deformable surfaces with conserved enclosed volume
We consider surface finite elements and a semi-implicit time stepping sc...
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05/25/2022
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties
We study the diffusion of tangential tensor-valued data on curved surfac...
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03/05/2021
Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations
In this paper we study parametric TraceFEM and parametric SurfaceFEM (SF...
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04/18/2020
Doubly Degenerate Diffuse Interface Models of Anisotropic Surface Diffusion
We extend the doubly degenerate Cahn-Hilliard (DDCH) models for isotropi...
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09/10/2019