Perfectly Matched Layers for the heat and advection-diffusion equations

Nicolas Lantos (1) , Frédéric Nataf (1)

1 LJLL - Laboratoire Jacques-Louis Lions

We design a perfectly matched layer for the advection-diffusion equation. We show that the reflection coefficient is exponentially small with respect to the damping parameter and the width of the PML and this independently of the advection and of the viscosity. Numerical tests assess the efficiency of the approach.

Domaines: Analyse numérique [math.NA]

Nicolas Lantos, Frédéric Nataf. Perfectly Matched Layers for the heat and advection-diffusion equations. 2010. ⟨hal-00454089⟩