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

Gary Cohen; Patrick Joly

doi:10.1137/S0036142993246445

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

Gary Cohen
, Patrick Joly

INRIA Institut National de Recherche en Informatique et en Automatique

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	1266-1302
Nombre de pages	37
journal	SIAM Journal on Numerical Analysis
Volume	33
Numéro de publication	4
Les DOIs	https://doi.org/10.1137/S0036142993246445
état	Publié - 1 janv. 1996

Accès au document

10.1137/S0036142993246445

Contient cette citation

@article{8530666b363843339a1b995b1fa77c41,

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

abstract = "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.",

keywords = "Finite differences, L-stability, Reflected and transmitted waves, Wave equation",

author = "Gary Cohen and Patrick Joly",

year = "1996",

month = jan,

day = "1",

doi = "10.1137/S0036142993246445",

language = "English",

volume = "33",

pages = "1266--1302",

journal = "SIAM Journal on Numerical Analysis",

issn = "0036-1429",

number = "4",

}

TY - JOUR

T1 - Construction and analysis of fourth-order finite difference schemes for the acoustic wave equation in nonhomogeneous media

AU - Cohen, Gary

AU - Joly, Patrick

PY - 1996/1/1

Y1 - 1996/1/1

N2 - 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.

AB - 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.

KW - Finite differences

KW - L-stability

KW - Reflected and transmitted waves

KW - Wave equation

U2 - 10.1137/S0036142993246445

DO - 10.1137/S0036142993246445

M3 - Article

AN - SCOPUS:0000996995

SN - 0036-1429

VL - 33

SP - 1266

EP - 1302

JO - SIAM Journal on Numerical Analysis

JF - SIAM Journal on Numerical Analysis

IS - 4

ER -

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

Résumé

Accès au document

Empreinte digitale

Contient cette citation