Residual-based a posteriori error estimation for contact problems approximated by Nitsche's method
Affiliation auteurs | !!!! Error affiliation !!!! |
Titre | Residual-based a posteriori error estimation for contact problems approximated by Nitsche's method |
Type de publication | Journal Article |
Year of Publication | 2018 |
Auteurs | Chouly F, Fabre M, Hild P, Pousin J, Renard Y |
Journal | IMA JOURNAL OF NUMERICAL ANALYSIS |
Volume | 38 |
Pagination | 921-954 |
Date Published | APR |
Type of Article | Article |
ISSN | 0272-4979 |
Mots-clés | a 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. |
DOI | 10.1093/imanum/drx024 |