Details

Autor(en) / Beteiligte

• Schröder, Andreas

Titel

hp-Adaptive Finite Element Methods for Variational Inequalities

Ist Teil von

• Proceedings in applied mathematics and mechanics, 2008-12, Vol.8 (1), p.10053-10056

Ort / Verlag

Berlin: WILEY-VCH Verlag

Erscheinungsjahr

2008

Quelle

Wiley Online Library

Beschreibungen/Notizen

• In this work, we combine an hp–adaptive strategy with a posteriori error estimates for variational inequalities, which are given by contact problems. The a posteriori error estimates are obtained using a general approach based on the saddle point formulation of contact problems and making use of a yposteriori error estimates for variational equations. Error estimates are presented for obstacle problems and Signorini problems with friction. Numerical experiments confirm the reliability of the error estimates for finite elements of higher order. The use of the hp–adaptive strategy leads to meshes with the same characteristics as geometric meshes and to exponential convergence. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)