Advances in iterative methods and preconditioners for the Helmholtz equation

被引：118
|
作者：
Erlangga, Yogi A. [1 ]
机构：
[1] TU Berlin, Inst Matemat, D-10623 Berlin, Germany
来源：
ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING | 2008年 / 15卷 / 01期
关键词：
D O I：
10.1007/s11831-007-9013-7
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper we survey the development of fast iterative solvers aimed at solving 2D/3D Helmholtz problems. In the first half of the paper, a survey on some recently developed methods is given. The second half of the paper focuses on the development of the shifted Laplacian preconditioner used to accelerate the convergence of Krylov subspace methods applied to the Helmholtz equation. Numerical examples are given for some difficult problems, which had not been solved iteratively before.
引用
收藏
页码：37 / 66
页数：30
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