On the parametric finite element approximation of evolving hypersurfaces in \(\mathbb R^3\) (Q924431)
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scientific article; zbMATH DE number 5276024
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the parametric finite element approximation of evolving hypersurfaces in \(\mathbb R^3\) |
scientific article; zbMATH DE number 5276024 |
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On the parametric finite element approximation of evolving hypersurfaces in \(\mathbb R^3\) (English)
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16 May 2008
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The authors present a parametric finite element approximation for the evolution of closed surfaces in \(\mathbb R^3\) moving under given geometric flows such as motion by mean curvature and motion by surface diffusion. The algorithm applies to other second or fourth order geometric evolution equations. In this framework, stability bounds are also derived. In the end of the paper, a large number of numerical computations and comparison results are presented that illustrate the importance of the method.
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Surface diffusion
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mean curvature flow
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nonlinear surface evolution
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parametric finite elements
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tangential movement
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numerical examples
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surface attachment limited kinetics
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0.8929672
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0.8915083
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0.88575244
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0.8848874
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