Discontinuous Galerkin Method for Time-Domain Electromagnetics on Curvilinear Domains

Hassan Fahs (1)

1 NACHOS - Numerical modeling and high performance computing for evolution problems in complex domains and heterogeneous media

This paper discusses isoparametric technique for handling curvilinear geometries in high accuracy discontinuous Galerkin (DG) simulations for time-domain Maxwell's equations. With isoparametric elements, numerical fluxes along curved boundaries are computed much more accurately due to the high-order representation of the computational domain. Numerical experiments for 2D propagation problems demonstrate the applicability and benefits of the isoparametric technique for simulations involving curved domains.

Mots clés: Discontinuous Galerkin method; Maxwell's equations; Numerical integration; Isoparametric technique

Domaines: Analyse numérique [math.NA]; Electromagnétisme

Hassan Fahs. Discontinuous Galerkin Method for Time-Domain Electromagnetics on Curvilinear Domains. Applied Mathematical Sciences, 2010, 4 (17-20), pp.943-958. ⟨hal-00664103⟩