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Media type:
E-Article
Title:
L2-Estimate for the Discrete Plateau Problem
Contributor:
Pozzi, Paola
imprint:
American Mathematical Society, 2004
Published in:Mathematics of Computation
Language:
English
ISSN:
0025-5718;
1088-6842
Origination:
Footnote:
Description:
<p>In this paper we prove the L<sup>2</sup>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 H<sup>1</sup>and L<sup>2</sup>norms for the boundary integral method. Subsequently they obtained the H<sup>1</sup>convergence estimates using a fully discrete finite element method. We use the latter framework for our investigation.</p>