Finite element approximations to surfaces of prescribed variable mean curvature
type: Item
instance of: scholarly article
title: Finite element approximations to surfaces of prescribed variable mean curvature
zbMATH Open document ID: 1087.65065
author: G. Dziuk
author: John E. Hutchinson
published in: Numerische Mathematik
publication date: 2006-03-21T00:00:00Z
review text: This article aims to find finite element approximations for surfaces of prescribed variable mean curvature \(H(u)\) at each point \(u\), where the boundary \(\Gamma\) is possibly knotted. The authors begin by presenting an introduction where all the mathematical background is explored and then proceed to present the variational problem to be studied. An extensive and very detailed proof of the main theorem is presented next, which forms the majority of this paper, together with a series of interesting propositions and lemmas. The article concludes with extensive numerical experimentation using the proposed algorithm.
reviewed by: Efstratios Rappos
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49M15
Mathematics Subject Classification ID: 49Q10
zbMATH DE Number: 5014039
zbMATH Keywords: finite element approximation
zbMATH Keywords: variable curvature
zbMATH Keywords: numerical examples
zbMATH Keywords: surfaces
MaRDI profile type: Publication
full work available at URL: s00211-005-0649-7
OpenAlex ID: W2083931413
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DOI: 10.1007/S00211-005-0649-7
description: scientific article; zbMATH DE number 5014039