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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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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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04/10/2021
Finite element error analysis for a system coupling surface evolution to diffusion on the surface
We consider a numerical scheme for the approximation of a system that co...
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03/26/2021
A Novel p-Harmonic Descent Approach Applied to Fluid Dynamic Shape Optimization
We introduce a novel method for the implementation of shape optimziation...
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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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02/18/2020
A Practical Phase Field Method for an Elliptic Surface PDE
We consider a diffuse interface approach for solving an elliptic PDE on ...
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11/13/2019