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Optimized Schwarz method for the linearized KdV equation

Joao Guilherme Caldas Steinstraesser 1, * Rodrigo Cienfuegos 2 José Daniel Galaz Mora 2 Antoine Rousseau 3, 4
* Corresponding author
1 MERIC - Marine Energy Research & Innovation Center [Santiago]
2 Departamento de Ingenierıa Hidraulica y Ambiental
3 Inria Chile
4 LEMON - Littoral, Environnement : Méthodes et Outils Numériques
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : We propose a domain decomposition method for solving the linearized KdV equation with only the dispersive term, using a simple approximation for 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.
Keywords : domain decomposition method transparent boundary conditions KdV equation
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https://hal.inria.fr/hal-01354742
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Submitted on : Friday, August 19, 2016 - 1:35:50 PM
Last modification on : Tuesday, August 24, 2021 - 4:51:59 PM
Long-term archiving on: : Sunday, November 20, 2016 - 10:35:38 AM

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Joao Guilherme Caldas Steinstraesser, Rodrigo Cienfuegos, José Daniel Galaz Mora, Antoine Rousseau. Optimized Schwarz method for the linearized KdV equation. 2016. ⟨hal-01354742⟩

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