Optimization of a Finite-Difference Scheme for Numerical Solution of the Helmholtz Equation

被引：3
|
作者：
Kostin, V. I. [1 ]
Solov'ev, S. A. [1 ]
机构：
[1] Russian Acad Sci, Inst Geol & Geophys, Siberian Branch, Novosibirsk 630090, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2020年 / 60卷 / 04期
关键词：
Helmholtz equation; finite-difference schemes; numerical dispersion; optimization; MEAD SIMPLEX-METHOD; CONVERGENCE; 9-POINT;
D O I：
10.1134/S0965542520040119
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we propose an optimization method for a difference scheme for the numerical solution of the Helmholtz equation, applicable for any ratio of the grid steps. In the range of the number of points per wavelength of practical interest, the dispersion error of the optimal scheme is comparable with the error of higher order schemes known in the literature.
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页码：641 / 650
页数：10
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