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L²-estimate for the discrete Plateau Problem

Pozzi, Paola


In this paper we prove the L² convergence rates for a fully discrete finite element procedure for approximating minimal, possibly unstable, surfaces. Originally this problem was studied by G. Dziuk and J. Hutchinson. First they provided convergence rates in the H¹ and L² norms for the boundary integral method. Subsequently they obtained the H¹ convergence estimates using a fully discrete finite element method. We use the latter framework for our investigation.

CollectionsANU Research Publications
Date published: 2003-12-22
Type: Journal article
Source: Mathematics of Computation
DOI: 10.1090/S0025-5718-03-01630-2


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