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The discrete plateau problem: convergence results

Dziuk, Gerhard; Hutchinson, John


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.

CollectionsANU Research Publications
Date published: 1999
Type: Journal article
Source: Mathematics of Computation


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