A SCHWARZ-BASED DOMAIN DECOMPOSITION METHOD FOR THE DISPERSION EQUATION

被引：0

作者：

Caldas Steinstraesser, Joao Guilherme ^{[1
]}

Cienfuegos, Rodrigo ^{[2
]}

Galaz Mora, Jose Daniel ^{[2
]}

Rousseau, Antoine ^{[3
,4
]}

机构：

[1] MERIC, Avda Apoquindo 2827, Santiago, Chile

[2] Pontificia Univ Catolica Chile, Dept Ingn Hidraul & Ambiental, Ave Vicuna Mackenna 4680, Santiago, Chile

[3] INRIA, Avda Apoquindo 2827, Santiago, Chile

[4] Inria Chile, Avda Apoquindo 2827, Santiago, Chile

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 03期

关键词：

Domain decomposition method; Schwarz method; transparent boundary conditions; KdV equation;

D O I：

10.11948/2018.859

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：859 / 872

页数：14

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