Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2010) Numerical approximation of gradient flows for closed curves in Rd. IMA J. Numer. Anal. 30, pp. 4-60.
We present parametric finite element approximations of curvature flows for curves in Rd, d ≥ 2, as well as for curves on two-dimensional manifolds in R3. Here we consider the curve shortening flow, curve diffusion and the elastic flow. It is demonstrated that the curve shortening and the elastic flows on manifolds can be used to compute nontrivial geodesics, and that the corresponding ...
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|Series of the University of Regensburg:||Preprintreihe der Fakultät Mathematik|
|Institutions:||Mathematics > Prof. Dr. Harald Garcke|
|Dewey Decimal Classification:||500 Science > 510 Mathematics|
|Refereed:||Yes, this version has been refereed|
|Created at the University of Regensburg:||Partially|
|Deposited on:||24 Mar 2010 06:26|
|Last modified:||13 Mar 2014 13:11|