| Title:
|
An unconditionally stable finite element scheme for anisotropic curve shortening flow (English) |
| Author:
|
Deckelnick, Klaus |
| Author:
|
Nürnberg, Robert |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
59 |
| Issue:
|
3 |
| Year:
|
2023 |
| Pages:
|
263-274 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
anisotropic curve shortening flow |
| Keyword:
|
finite element method |
| Keyword:
|
stability |
| MSC:
|
35K15 |
| MSC:
|
53E10 |
| MSC:
|
65M12 |
| MSC:
|
65M60 |
| idZBL:
|
Zbl 07675596 |
| idMR:
|
MR4563038 |
| DOI:
|
10.5817/AM2023-3-263 |
| . |
| Date available:
|
2023-02-22T14:55:22Z |
| Last updated:
|
2023-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151574 |
| . |
| Reference:
|
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