The discrete Douglas problem: convergence results
Date
2005
Authors
Pozzi, Paola
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Publisher
Oxford University Press
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, obtained some preliminary estimates, developed the ideas used for the algorithm, and gave numerical results. In this paper we prove convergence estimates.
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Keywords: Douglas problem; Finite elements; Minimal surfaces; Order of convergence
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Source
IMA Journal of Numerical Analysis
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Journal article
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2037-12-31
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