An unconditionally stable finite element scheme for anisotropic curve shortening flow
| Autor: | Klaus Deckelnick, Robert Nürnberg |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Popis: | Based on a recent novel formulation of parametric anisotropic curve shortening flow, we analyse a fully discrete numerical method of this geometric evolution equation. The method uses piecewise linear finite elements in space and a backward Euler approximation in time. We establish existence and uniqueness of a discrete solution, as well as an unconditional stability property. Some numerical computations confirm the theoretical results and demonstrate the practicality of our method. 13 pages, 4 figures |
| Databáze: | OpenAIRE |
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