Anzeige
Erschienen in:
2015 | OriginalPaper | Buchkapitel
5. Numerical Methods for Evolution Hemivariational Inequalities
verfasst von : Krzysztof Bartosz
Erschienen in: Advances in Variational and Hemivariational Inequalities
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Abstract
We consider numerical methods of solving evolution subdifferential inclusions of nonmonotone type. In the main part of the chapter we apply Rothe method for a class of second order problems. The method consists in constructing a sequence of piecewise constant and piecewise linear functions being a solution of approximate problem. Our main result provides a weak convergence of a subsequence to a solution of exact problem. Under some more restrictive assumptions we obtain also uniqueness of exact solution and a strong convergence result. Next, for the reference class of problems we apply a semi discrete Faedo-Galerkin method as well as a fully discrete one. For both methods we present a result on optimal error estimate.