Perfectly matched layers for the heat and advection–diffusion equations
Nicolas Lantos, Frédéric Nataf · Comptes Rendus Mathématique · 2010
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 independently of the advection and of the viscosity parameters. Numerical tests assess the efficiency of the approach.