Construction and analysis of fourth-order finite difference schemes for the acoustic wave equation in nonhomogeneous media

被引：67
|
作者：
Cohen, G
Joly, P
机构：
[1] Inst. Natl. Rech. Info. en Automat., Domaine de Voluceau-Rocquencourt, 78153 Le Chesnay Cédex
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 1996年 / 33卷 / 04期
关键词：
wave equation; finite differences; L(2)-stability; reflected and transmitted waves;
D O I：
10.1137/S0036142993246445
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we construct and analyse a family of finite difference schemes for the acoustic wave equation with variable coefficients. These schemes are fourth-order accurate in space and time in the case of smooth media and are designed to remain stable and ''optimal'' for reflection-transmission phenomena in the case of discontinuous coefficients. Together with a detailed mathematical study, various numerical results are presented.
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页码：1266 / 1302
页数：37
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