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Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves

URN to cite this document:
urn:nbn:de:bvb:355-epub-205013
Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert
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Date of publication of this fulltext: 13 Apr 2011 04:08


Abstract

Deckelnick and Dziuk (2009) proved a stability bound for a continuous-in-time semidiscrete parametric finite element approximation of Willmore flow/elastic flow of closed curves in Rd, d ≥ 2. We extend these ideas in considering an alternative finite element approximation of the same flow that retains some of the features of the formulations in Barrett, Garcke, and Nürnberg (2007b, 2008b, 2010b), ...

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