Showing a limited preview of this publication:
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.
Key Words: contact problem,; obstacle problem,; a posteriori error estimate,; variational inequality,; finite element method,; adaptivity
Published Online: 2005-04-01
Published in Print: 2005-04-01
Copyright 2005, Walter de Gruyter
