CMA Research Report

MRR03-010

The discrete Douglas Problem: convergence results

Abstract:  We solve the problem of finding and justifying an optimal fully discrete finite element procedure for approximating annulus like, possibly unstable, minimal surfaces.

In a previous paper we introduced the general framework, some preliminary estimates, developed the ideas used for the algorithm, and gave the numerical results.

In this paper we prove convergence estimates.

AMS Classification:  65N30
Date:  26 September 2003

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