The discrete plateau problem: convergence results
dc.contributor.author | Dziuk, Gerhard | |
dc.contributor.author | Hutchinson, John | |
dc.date.accessioned | 2015-12-13T23:20:14Z | |
dc.date.available | 2015-12-13T23:20:14Z | |
dc.date.issued | 1999 | |
dc.date.updated | 2015-12-12T09:02:33Z | |
dc.description.abstract | We 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.issn | 0025-5718 | |
dc.identifier.uri | http://hdl.handle.net/1885/90622 | |
dc.publisher | American Mathematical Society | |
dc.source | Mathematics of Computation | |
dc.subject | Keywords: Finite elements; Minimal surface; Order of convergence; Plateau problem | |
dc.title | The discrete plateau problem: convergence results | |
dc.type | Journal article | |
local.bibliographicCitation.issue | 226 | |
local.bibliographicCitation.lastpage | 546 | |
local.bibliographicCitation.startpage | 519 | |
local.contributor.affiliation | Dziuk, Gerhard, University of Freiburg | |
local.contributor.affiliation | Hutchinson, John, College of Physical and Mathematical Sciences, ANU | |
local.contributor.authoruid | Hutchinson, John, u7500224 | |
local.description.notes | Imported from ARIES | |
local.description.refereed | Yes | |
local.identifier.absfor | 010399 - Numerical and Computational Mathematics not elsewhere classified | |
local.identifier.ariespublication | MigratedxPub21041 | |
local.identifier.citationvolume | 68 | |
local.identifier.scopusID | 2-s2.0-0033423654 | |
local.type.status | Published Version |