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Convergence of free boundaries in discrete obstacle problems
Authors:Yongmin Zhang
Institution:(1) Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, Stony Brook, NY 11794, USA
Abstract:We show that a piecewise linear finite element approximation of the obstacle problem gives an approximate free boundary converges, in an appropriate distance, to the free boundary of the continuous problem under a stability condition on the obstacle.
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