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The discrete Douglas problem: convergence results

Pozzi, Paola


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, obtained some preliminary estimates, developed the ideas used for the algorithm, and gave numerical results. In this paper we prove convergence estimates.

CollectionsANU Research Publications
Date published: 2005
Type: Journal article
Source: IMA Journal of Numerical Analysis
DOI: 10.1093/imanum/drh019


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