W1 -convergence of the discrete free boundary for obstacle problems
- 1 July 2000
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Numerical Analysis
- Vol. 20 (3) , 481-498
- https://doi.org/10.1093/imanum/20.3.481
Abstract
We examine the discrete free boundaries arising from a finite element discretization of a variational inequality. We give L∞ error bounds for the Hausdorff distance of the discrete and true free boundary, as well as for the normals. The theoretical results are confirmed by numerical experiments in two and three dimensions.Keywords
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