SYMMETRIC AND NON-SYMMETRIC VARIANTS OF NITSCHE'S METHOD FOR CONTACT PROBLEMS IN ELASTICITY: THEORY AND NUMERICAL EXPERIMENTS
| Affiliation auteurs | Affiliation ok |
| Titre | SYMMETRIC AND NON-SYMMETRIC VARIANTS OF NITSCHE'S METHOD FOR CONTACT PROBLEMS IN ELASTICITY: THEORY AND NUMERICAL EXPERIMENTS |
| Type de publication | Journal Article |
| Year of Publication | 2015 |
| Auteurs | Chouly F, Hild P, Renard Y |
| Journal | MATHEMATICS OF COMPUTATION |
| Volume | 84 |
| Pagination | PII S 0025-5718(2014)02913-X |
| Date Published | MAY |
| Type of Article | Article |
| ISSN | 0025-5718 |
| Mots-clés | Finite elements, Nitsche's method, Unilateral contact |
| Résumé | A general Nitsche method, which encompasses symmetric and non-symmetric variants, is proposed for frictionless unilateral contact problems in elasticity. The optimal convergence of the method is established both for two- and three-dimensional problems and Lagrange affine and quadratic finite element methods. Two- and three-dimensional numerical experiments illustrate the theory. |