Fourth order schemes for time-harmonic wave equations with discontinuous coefficients

Guy Baruch; Gadi Fibich; Semyon Tsynkov; Eli Turkel

Fourth order schemes for time-harmonic wave equations with discontinuous coefficients

Guy Baruch, Gadi Fibich, Semyon Tsynkov, Eli Turkel^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We consider high order methods for the one-dimensional Helmholtz equation and frequency-Maxwell system. We demand that the scheme be higher order even when the coefficients are discontinuous. We discuss the connection between schemes for the second-order scalar Helmholtz equation and the first-order system for the electromagnetic or acoustic applications.

Original language	English
Pages (from-to)	442-455
Number of pages	14
Journal	Communications in Computational Physics
Volume	5
Issue number	2-4
State	Published - Feb 2009

Keywords

Compact schemes
Finite volume approximation
Helmholtz equation
High order methods
Material discontinuities
Maxwell's equations

Cite this

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abstract = "We consider high order methods for the one-dimensional Helmholtz equation and frequency-Maxwell system. We demand that the scheme be higher order even when the coefficients are discontinuous. We discuss the connection between schemes for the second-order scalar Helmholtz equation and the first-order system for the electromagnetic or acoustic applications.",

keywords = "Compact schemes, Finite volume approximation, Helmholtz equation, High order methods, Material discontinuities, Maxwell's equations",

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AU - Fibich, Gadi

AU - Tsynkov, Semyon

AU - Turkel, Eli

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AB - We consider high order methods for the one-dimensional Helmholtz equation and frequency-Maxwell system. We demand that the scheme be higher order even when the coefficients are discontinuous. We discuss the connection between schemes for the second-order scalar Helmholtz equation and the first-order system for the electromagnetic or acoustic applications.

KW - Compact schemes

KW - Finite volume approximation

KW - Helmholtz equation

KW - High order methods

KW - Material discontinuities

KW - Maxwell's equations

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Fourth order schemes for time-harmonic wave equations with discontinuous coefficients

Abstract

Keywords

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