Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2007) On the parametric finite element approximation of evolving hypersurfaces in R³. SIAM Journal on Scientific Computing 29 (3), pp. 1006-1041.
Other URL: http://link.aip.org/link/?SCE/29/1006/1
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 R³. 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 ...
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|Date:||10 May 2007|
|Institutions:||Mathematics > Prof. Dr. Harald Garcke|
|Subjects:||500 Science > 510 Mathematics|
|Refereed:||Yes, this version has been refereed|
|Created at the University of Regensburg:||Yes|
|Deposited On:||19 Jan 2007|
|Last Modified:||13 Mar 2014 09:42|