L²-estimate for the discrete Plateau Problem
In this paper we prove the L² 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 H¹ and L² norms for the boundary integral method. Subsequently they obtained the H¹ convergence estimates using a fully discrete finite element method. We use the latter framework for our investigation.
|Collections||ANU Research Publications|
|Source:||Mathematics of Computation|
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