Absorbing boundary conditions and optimized Schwarz waveform relaxation
We show here how the formalism, introduced by B. Engquist and A. Majda for absorbing boundary conditions, is a powerful tool to produce absorbing boundary layers and Schwarz waveform relaxation algorithms, when coupled with best approximation. The demonstration is given on the advection diffusion equation, but the ideas apply also to hyperbolic problems.
absorbing boundaries schwarz waveform relaxation advection-diffusion