Willmore-type regularization of mean curvature flow in the presence of a non-convex anisotropy. The graph setting: Analysis of the stationary case and numerics for the evolution problem (Q1943334)
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scientific article; zbMATH DE number 6146747
| Language | Label | Description | Also known as |
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| English | Willmore-type regularization of mean curvature flow in the presence of a non-convex anisotropy. The graph setting: Analysis of the stationary case and numerics for the evolution problem |
scientific article; zbMATH DE number 6146747 |
Statements
Willmore-type regularization of mean curvature flow in the presence of a non-convex anisotropy. The graph setting: Analysis of the stationary case and numerics for the evolution problem (English)
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19 March 2013
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The authors study the motion of one-dimensional graphs under anisotropic non-convex mean curvature flow regularized via a Willmore term. Rigorous analytical results for the stationary case is presented. The evolution problem will the regularization parameter tending to zero is studied. Numerical simulations of the time-dependent problem using discretization by finite elements and semi-implicit scheme are also presented.
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one-dimensional graph
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0.8137617111206055
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0.8021242618560791
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0.774939239025116
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0.7612953186035156
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