A mortar element method for hyperbolic problems. (English. Abridged French version) Zbl 1038.65094
Summary: A non-conforming finite element method based on non-overlapping domain decomposition is extended to linear hyperbolic problems. The method is based on streamline-diffusion/discontinuous Galerkin methods and the mortar element method. A weak flux continuity condition at the inflow interface is enforced by means of Lagrange multipliers. This weak flux continuity condition replaces the usual mortar condition for elliptic problems, and allows non-matching grids at the subdomain interfaces.
MSC:
| 65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
| 65M55 | Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs |
| 65M50 | Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs |
| 35L45 | Initial value problems for first-order hyperbolic systems |
Keywords:
non-conforming finite element method; non-overlapping domain decomposition; linear hyperbolic problems; streamline-diffusion/discontinuous Galerkin methods; mortar element method; weak flux continuity condition; non-matching gridsReferences:
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