Barrett, John W. and Garcke, Harald and Nuernberg, Robert (2008) On the parametric finite element approximation of evolving hypersurfaces in R-3. JOURNAL OF COMPUTATIONAL PHYSICS, 227 (9). pp. 4281-4307. ISSN 0021-9991,
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We present a variational formulation of motion by minus the Laplacian of curvature and mean curvature flow, as well as related second and fourth order flows of a closed hypersurface in R-3. On introducing a parametric finite element approximation, we prove stability bounds and compare our scheme with existing approaches. The presented scheme has very good properties with respect to the distribution of mesh points and, if applicable, volume conservation. (C) 2007 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GEOMETRIC EVOLUTION-EQUATIONS; MEAN-CURVATURE FLOW; SURFACE-DIFFUSION; CONVERGENCE; CURVES; DRIVEN; MOTION; surface diffusion; (inverse) mean curvature flow; surface attachment limited kinetics; nonlinear surface evolution; parametric finite elements; tangential movement |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 04 Nov 2020 07:43 |
| Last Modified: | 04 Nov 2020 07:43 |
| URI: | https://pred.uni-regensburg.de/id/eprint/31038 |
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