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Volume 8, Number 3, 2018, Pages 859-872                                                                DOI:10.11948/2018.859
A Schwarz-based domain decomposition method for the dispersion equation
Joao Guilherme Caldas Steinstraesser,Rodrigo Cienfuegos,Jose Daniel Galaz Mora,Antoine Rousseau
Keywords:Domain decomposition method, Schwarz method, transparent boundary conditions, KdV equation
      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.
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