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 -estimate for the discrete Plateau Problem |
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| Authors: | Paola Pozzi |
| Institution: | Centre for Mathematics and its Applications, MSI, Australian National University, Canberra, Australian Capital Territory 0200, Australia |
| Abstract: | In this paper we prove the  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 |
| Keywords: | Minimal surfaces finite elements order of convergence Plateau Problem |
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and 
norms for the boundary integral method. Subsequently they obtained the 
convergence estimates using a fully discrete finite element method. We use the latter framework for our investigation.