An optimized Schwarz algorithm for the compressible Euler equations

Victorita Dolean (1) , Frédéric Nataf (2)

1 JAD - Laboratoire Jean Alexandre Dieudonné
2 LJLL - Laboratoire Jacques-Louis Lions

In this work we design new interface transmission conditions for a domain decomposition Schwarz algorithm for the Euler equations in 2 dimensions. These new interface conditions are designed to improve the convergence properties of the Schwarz algorithm. These conditions depend on a few parameters and they generalize the classical ones. Numerical results illustrate the effectiveness of the new interface conditions.

Domaines: Analyse numérique [math.NA]

Victorita Dolean, Frédéric Nataf. An optimized Schwarz algorithm for the compressible Euler equations. Olof B. Widlund and David E. Keyes Edts. Domain decomposition methods in science and engineering XVI, Springer-Verlag, pp.173--180, 2007, LNCSE. ⟨hal-00413523⟩