Numerische Mathematik

, Volume 106, Issue 1, pp 157–164 | Cite as

Convergence of free boundaries in discrete obstacle problems

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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.

Keywords

Variational Inequality Free Boundary Continuous Solution Obstacle Problem Discrete Solution 
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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Department of Applied Mathematics and StatisticsState University of New York at Stony BrookStony BrookUSA

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