Pozzi, Paola2016-03-152016-03-150025-5718http://hdl.handle.net/1885/100253In 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.© 2003 American Mathematical SocietyMinimal surfacesfinite elementsorder of convergencePlateau Problem2003-12-2210.1090/S0025-5718-03-01630-22016-06-14