A posteriori error estimators for finite element approximations to variational inequalities are derived inthe model case of ``Poisson's inequality'' for a constant obstacle. These residual-type estimators yield global upper and, partially, local lower bounds for the true error. Further important properties are that the interior residual is localized and that the local error indicators in the discrete coincidence set measure local data resolution only.
On a posteriori error estimation for constant obstacle problems / A. Veeser - In: Numerical Methods for Viscosity Solutions and Applications / [a cura di] M. Falcone, Ch. Markidakis. - [s.l] : World Scientific Publishing, 2001. - ISBN 9789810247171. - pp. 221-234 (( convegno Workshop on Numerical Methods for Viscosity Solutions and Applications tenutosi a Heraklion (Greece) nel 1999 [10.1142/9789812799807_0012].
On a posteriori error estimation for constant obstacle problems
A. VeeserPrimo
2001
Abstract
A posteriori error estimators for finite element approximations to variational inequalities are derived inthe model case of ``Poisson's inequality'' for a constant obstacle. These residual-type estimators yield global upper and, partially, local lower bounds for the true error. Further important properties are that the interior residual is localized and that the local error indicators in the discrete coincidence set measure local data resolution only.
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