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A finite element error analysis for axisymmetric mean curvature flow
File(s)
schemeD_submit.pdf (1.32 MB)
Accepted version
Author(s)
Barrett, John W
Deckelnick, Klaus
Nurnberg, Robert
Type
Journal Article
Abstract
We consider the numerical approximation of axisymmetric mean curvature flow with the help of linear finite elements. In the case of a closed genus-1 surface, we derive optimal error bounds with respect to the L 2– and H1–norms for a fully discrete approximation. We perform convergence experiments to confirm the theoretical results, and also present numerical simulations for some genus-0 and genus-1 surfaces, including for the Angenent torus.
Date Acceptance
2020-02-24
Citation
IMA Journal of Numerical Analysis
URI
ISSN
0272-4979
Publisher
Oxford University Press (OUP)
Journal / Book Title
IMA Journal of Numerical Analysis
Subjects
0102 Applied Mathematics
0103 Numerical and Computational Mathematics
Numerical & Computational Mathematics
Publication Status
Accepted