Optimized Schwarz method for the linearized KdV equation

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

KdV equation domain decomposition method transparent boundary conditions

Domains

Mathematics [math] Mathematical Physics [math-ph]

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Joao Guilherme Caldas Steinstraesser : Connect in order to contact the contributor

https://hal.inria.fr/hal-01354742

Submitted on : Friday, August 19, 2016-1:35:50 PM

Last modification on : Wednesday, January 25, 2023-1:48:22 PM

Long-term archiving on: Sunday, November 20, 2016-10:35:38 AM

Dates and versions

hal-01354742 , version 1 (19-08-2016)

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HAL Id : hal-01354742 , version 1

Cite

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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