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F. T. Suttmeier

On a direct approach to adaptive FE-discretisations for elliptic variational inequalities

Keywords: contact problem, obstacle problem, a posteriori error estimate, variational inequality, finite element method, Adaptivity

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 of Numerical Mathematics, Walter de Gruyter

Print ISSN: 1570-2820
Volume: 13, 04/2005
Pages: 73 - 80

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