Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves
type: Item
instance of: scholarly article
title: Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves
zbMATH Open document ID: 1242.65188
author: John W. Barrett
author: Harald Garcke
author: Robert Nürnberg
published in: Numerische Mathematik
publication date: 2012-03-02T00:00:00Z
full work available at URL: MP126.pdf
review text: An extension of stability bounds for a continuous-in-time semidiscrete parametric finite element approximation of the elastic flow of closed curves to an alternative finite element approximation is presented. For this new approximation a stability bound for a continuous-in-time semidiscrete scheme is proven. Further, the case of an anisotropic elastic energy is also considered. In addition to the evolution of closed curves, the isotropic and anisotropic elastic flow of a single open curve in the plane and in higher codimension is also considered.
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 6010840
zbMATH Keywords: stability
zbMATH Keywords: finite element
zbMATH Keywords: elastic flow
zbMATH Keywords: closed curves
zbMATH Keywords: semidiscretization
Wikidata QID: Q117202617
reviewed by: Petr Sváček
describes a project that uses: SuiteSparseQR
describes a project that uses: SuitSparseQR
describes a project that uses: UMFPACK
MaRDI profile type: Publication
OpenAlex ID: W2049361015
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DOI: 10.1007/S00211-011-0416-X
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description: scientific article; zbMATH DE number 6010840