On the parametric finite element approximation of evolving hypersurfaces in R³

URN to cite this document:: urn:nbn:de:bvb:355-epub-5858
DOI to cite this document:: 10.5283/epub.585

Barrett, John W. ; Garcke, Harald

; Nürnberg, Robert

Preview

PDF
preprint
(6MB)

Date of publication of this fulltext: 05 Aug 2009 13:23

Alternative links to fulltext:DOI Publisher

Details

Preview: preprint

Indexed in

Export bibliographical data

Abstract

We present a variational formulation of combined motion by minus the Laplacian of curvature and mean curvature flow, as well as related flows. The proposed scheme covers both the closed curve case and the case of curves that are connected via triple or quadruple junction points or intersect the external boundary. On introducing a parametric finite element approximation, we prove stability bounds ...