A posteriori error estimates for boundary value problems with obstacles. (English) Zbl 0968.65041

Neittaanmäki, Pekka (ed.) et al., ENUMATH 99. Numerical mathematics and advanced applications. Proceedings of the 3rd European conference, Jyväskylä, Finland, July 26-30, 1999. Singapore: World Scientific. 162-170 (2000).
Summary: Invoking duality arguments from the calculus of variations we derive a reliable a posteriori energy error estimator for obstacle problems. Though its efficiency depends on a minimization procedure with respect to some dualvariable, no admissibility constraints are imposed to be obeyed exactly. The method is very generic and therefore easily adapted to other convex minimization problems. Numerical experiments are presented, that demonstrate its potential.
For the entire collection see [Zbl 0954.00041].


65K10 Numerical optimization and variational techniques
49J40 Variational inequalities
49M29 Numerical methods involving duality