Séminaire des Doctorants

Le mercredi 13 juin 2018 à 15h - Salle 109

Alice Raeli
Numerical modelling of elliptic problems on octree-based meshes

We consider problems governed by a linear elliptic equation with varying coefficients across internal interfaces. The gradient of the solution can undergo significant variations through these internal boundaries. We present a compact finite-difference scheme on a tree-based adaptive grid that can be efficiently solved using a natively parallel data structure. Numerical illustrations are presented in two and three-dimensional configurations. Future perspectives will include the use of Hybrid High-Order methods to increase the approxima- tion order.

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