Error estimates for the finite element solution of variational inequalities
- 1 December 1977
- journal article
- Published by Springer Science and Business Media LLC in Numerische Mathematik
- Vol. 28 (4), 431-443
- https://doi.org/10.1007/bf01404345
Abstract
We analyze the convergence of finite element approximations of some variational inequalities namely the “obstacle problem” and the “unilateral problem”. OptimalO(h) andO(h3/2−∈) error bounds for the obstacle problem (for linear and quadratic elements) and anO(h) error bound for the unilateral problem (with linear elements) are proved.Keywords
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