Abstract | ||
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We are interested in finite element approximations of a Koiter model for linearly elastic shells with little regularity. To perform conforming method, we present a penalized and a mixed formulations of the model allowing to approximate and to enforce weakly mechanical constraints, respectively. We establish existence and uniqueness of the solution to the both formulations. Moreover, a posteriori analysis is led yielding an upper bound and a lower bound of the error. Finally, numerical results are presented to illustrate the efficiency of the a posteriori estimators. We therefore, propose a mesh adaptivity strategy relying on these indicators. |
Year | DOI | Venue |
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2016 | 10.1016/j.cam.2015.07.007 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
Koiter model,Finite element,A posteriori analysis | Uniqueness,Mathematical optimization,Mathematical analysis,Upper and lower bounds,A priori and a posteriori,Finite element approximations,Finite element method,SHELL model,Mathematics,Estimator | Journal |
Volume | Issue | ISSN |
296 | C | 0377-0427 |
Citations | PageRank | References |
1 | 0.48 | 2 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Adel Blouza | 1 | 7 | 2.87 |
Linda El Alaoui | 2 | 7 | 1.55 |
Saloua Mani Aouadi | 3 | 7 | 2.49 |