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Conférence externe
Anisotropic mesh adaptation using enriched reconstructed solutions
A. Fortin et T. Briffard
Département de mathématiques et de statistique, Université Laval

Mesh adaptation is a crucial part of modern finite element codes since it allows to control the accuracy of finite element approximations to solutions of problems with ever increasing complexity. In this talk, we present such a mesh adaptation method where we start with a finite element approximation of degree $k$ and use gradient recovery techniques to construct an enriched solution of degree $k+1$. The difference between these two approximations is used as an error indicator. Using this error indicator, the mesh is modified by local operations such as node displacement and node elimination, edge swapping and edge division. To reduce the computational cost, the domain is partitioned into subdomains and these local mesh operations are performed independently on each subdomain in parallel. The proposed method can be applied a very large class of problems where Lagrange finite elements are used. The resulting meshes can be strongly anisotropic when and where the solution allows it. Various examples, including singular or nearly singular problems, free surface problems and frictional contact problems will be presented to illustrate the performance of our method.

Date: 2018-07-26 à 09:30
Endroit: St-Jean, Terre-Neuve