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 CIRIC - Inria Chile
4 LEMON - Littoral, Environnement : Méthodes et Outils Numériques
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : 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.
Keywords : domain decomposition method Schwarz method transparent boundary conditions KdV equation Schwarz method transparent boundary conditions KdV equation
Document type :
Journal articles
Complete list of metadatas

Cited literature [13 references]  Display  Hide  Download
https://hal.inria.fr/hal-01617692
Contributor : Joao Guilherme Caldas Steinstraesser <>
Submitted on : Friday, May 18, 2018 - 12:20:22 PM
Last modification on : Wednesday, October 16, 2019 - 2:48:40 PM
Long-term archiving on : Monday, September 24, 2018 - 4:43:42 PM

File

mainPaper.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01617692, version 1

Collections

INRIA | INSMI | INRIA-CHILE | TDS-MACS

Citation

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, Wilmington Scientific Publisher, 2018. ⟨hal-01617692⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

633

Files downloads

509

Contact


archive-ouverte@inria.fr