Finite element analysis for a regularized variational inequality of the second kind.

Autor:	Zhang, Tie
Další autoři:	Zhang, S. (Shuhua) Azari, H. (Hossein)
Jazyk:	angličtina
Předmět:	matematika mathematics články journal articles finite element analysis finite element approximation numerical experiments
Druh dokumentu:	Non-fiction
Abstrakt:	Abstract: In this paper, we investigate the a priori and the a posteriori error analysis for the nite element approximation to a regularization version of the variational inequality of the second kind. We prove the abstract optimal error estimates in the H1- and L2-norms, respectively, and also derive the optimal order error estimate in the L∞- norm under the strongly regular triangulation condition. Moreover, some residual{ based a posteriori error estimators are established, which can provide the global upper bounds on the errors. These a posteriori error results can be applied to develop the adaptive nite element methods. Finally, we supply some numerical experiments to validate the theoretical results.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz: