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The discrete plateau problem: convergence results

dc.contributor.authorDziuk, Gerhard
dc.contributor.authorHutchinson, John
dc.date.accessioned2015-12-13T23:20:14Z
dc.date.available2015-12-13T23:20:14Z
dc.date.issued1999
dc.date.updated2015-12-12T09:02:33Z
dc.description.abstractWe solve the problem of finding and justifying an optimal fully discrete finite element procedure for approximating minimal, including unstable, surfaces. In a previous paper we introduced the general framework and some preliminary estimates, developed the algorithm and give the numerical results. In this paper we prove the convergence estimate.
dc.identifier.issn0025-5718
dc.identifier.urihttp://hdl.handle.net/1885/90622
dc.publisherAmerican Mathematical Society
dc.sourceMathematics of Computation
dc.subjectKeywords: Finite elements; Minimal surface; Order of convergence; Plateau problem
dc.titleThe discrete plateau problem: convergence results
dc.typeJournal article
local.bibliographicCitation.issue226
local.bibliographicCitation.lastpage546
local.bibliographicCitation.startpage519
local.contributor.affiliationDziuk, Gerhard, University of Freiburg
local.contributor.affiliationHutchinson, John, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidHutchinson, John, u7500224
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010399 - Numerical and Computational Mathematics not elsewhere classified
local.identifier.ariespublicationMigratedxPub21041
local.identifier.citationvolume68
local.identifier.scopusID2-s2.0-0033423654
local.type.statusPublished Version

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