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- Publisher
- de Gruyter
- Copyright
- Copyright 2005, Walter de Gruyter
- ISSN
- 1570-2820
- eISSN
- 1569-3953
- DOI
- 10.1515/1569395054068991
- Publisher site
- See Article on Publisher Site
Abstract
The techniques to derive residual based error estimators for finite element discretisations of variational equations can be extended directly to variational inequalities by employing a suitable adaptation of Nitsche's idea (c.f. 8). This strategy is presented here for elliptic variational inequalities. Its application is demonstrated at the obstacle problem, where numerical results show that the proposed approach to a posteriori error control gives useful error bounds.
Journal
Journal of Numerical Mathematics – de Gruyter
Published: Apr 1, 2005
Keywords: contact problem,; obstacle problem,; a posteriori error estimate,; variational inequality,; finite element method,; adaptivity