A generalized plane wave numerical method for smooth non constant coeffIcients

Lise-Marie Imbert-Gérard (1) , Bruno Després (1)

1 LJLL - Laboratoire Jacques-Louis Lions

We propose an original method based on generalized plane waves and approximated coefficients for the numerical approximation of the Helmholtz equation with a smooth constant coefficient. This is justified by a high order convergence estimate rate. Our motivation stems from the Maxwell's equations with Hermitian dielectric tensor e which are used to model reflectometry in fusion plasma. Simplified models split them into two different propagation modes. Some numerical results are presented in dimension one and two.

Mots clés: high order; generalized plane wave; wave equations; high order.

Domaines: Analyse numérique [cs.NA]

Lise-Marie Imbert-Gérard, Bruno Després. A generalized plane wave numerical method for smooth non constant coeffIcients. 2011. ⟨hal-00738211v2⟩