A Schwarz-based domain decomposition method for the dispersion equation

Joao Guilherme Caldas Steinstraesser (1) , Rodrigo Cienfuegos (2) , José Daniel Galaz Mora (2) , Antoine Rousseau (3, 4)

1 MERIC - Marine Energy Research & Innovation Center [Santiago]
2 Departamento de Ingenierıa Hidraulica y Ambiental
3 Inria Chile
4 LEMON - Littoral, Environment: MOdels and Numerics

We propose a Schwarz-based domain decomposition method for solving a dispersion equation consisting on the linearized KdV equation without the advective term, using simple interface operators based on the exact transparent boundary conditions for this equation. An optimization process is performed for obtaining the approximation that provides the method with the fastest convergence to the solution of the monodomain problem.

Mots clés: domain decomposition method; Schwarz method; transparent boundary conditions; KdV equation; Schwarz method; transparent boundary conditions; KdV equation

Domaines: Physique mathématique [math-ph]

Joao Guilherme Caldas Steinstraesser, Rodrigo Cienfuegos, José Daniel Galaz Mora, Antoine Rousseau. A Schwarz-based domain decomposition method for the dispersion equation. Journal of Applied Analysis and Computation, 2018, ⟨10.11948/2018.859⟩. ⟨hal-01617692⟩