Residual-based a posteriori error estimation for contact problems approximated by Nitsche's method

Affiliation auteurs!!!! Error affiliation !!!!
TitreResidual-based a posteriori error estimation for contact problems approximated by Nitsche's method
Type de publicationJournal Article
Year of Publication2018
AuteursChouly F, Fabre M, Hild P, Pousin J, Renard Y
JournalIMA JOURNAL OF NUMERICAL ANALYSIS
Volume38
Pagination921-954
Date PublishedAPR
Type of ArticleArticle
ISSN0272-4979
Mots-clésa posteriori error estimates, Finite elements, Nitsche's method, residuals, Unilateral contact
Résumé

We introduce a residual-based a posteriori error estimator for contact problems in two- and three-dimensional linear elasticity, discretized with linear and quadratic finite elements and Nitsche's method. Efficiency and reliability of the estimator are proved under a saturation assumption. Numerical experiments illustrate the theoretical properties and the good performance of the estimator.

DOI10.1093/imanum/drx024