Can the Discretization Modify the Performance of Schwarz Methods?

Victorita Dolean (1) , Martin Gander (2)

1 NACHOS - Numerical modeling and high performance computing for evolution problems in complex domains and heterogeneous media
2 Section de mathématiques [Genève]

Schwarz domain decomposition methods can be analyzed both at the continuous and discrete level. For consistent discretizations, one would naturally expect that the discretized method performs as predicted by the continuous analysis. We show in this short note for two model problems that this is not always the case, and that the discretization can both increase and decrease the convergence speed predicted by the continuous analysis.

Domaines: Analyse numérique [math.NA]

Victorita Dolean, Martin Gander. Can the Discretization Modify the Performance of Schwarz Methods?. 2010. ⟨hal-00487519⟩