Nous démontrons une condition suffisante de stabilité $L^2$ de type CFL pour un schéma en volumes finis avec flux centrés pour la résolution des équations de l'élasto-dynamique en deux dimensions d'espace. Nous discutons aussi diverses conditions aux limites dites réfléchissantes.
Dynamic rupture of a 3D spontaneous crack of arbitrary shape is investigated using a finite volume (FV) approach. The full domain is decomposed in tetrahedra while the surface on which the rupture takes place is discretized with triangles which are faces of tetrahedra. First of all, the elastodynamic equations are described into a...
Modelling dynamic rupture for complex geometrical fault structures is performed through a finite volume method. After transformations for building up the partial differential system following explicit conservative law, we design an unstructured bi-dimensional time-domain numerical formulation of the crack problem. As a result, arbitrary...
A new formulation for solving the Eikonal equation is investigated using a time-dependent Hamilton-Jacobi equation. A discontinuous Galerkin (DG) finite element method is proposed for direct reconstruction of the traveltime field as the final stationary solution. Both isotropic and tilted transversely isotropic (TTI) implementations are...