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High Order Compact Finite Difference Schemes for the Helmholtz Equation with Discontinuous Coefficients

High Order Compact Finite Difference Schemes for the Helmholtz Equation with Discontinuous Coefficients
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Year:    2011

Journal of Computational Mathematics, Vol. 29 (2011), Iss. 3 : pp. 324–340

Abstract

In this paper, third- and fourth-order compact finite difference schemes are proposed for solving Helmholtz equations with discontinuous media along straight interfaces in two space dimensions. To keep the compactness of the finite difference schemes and get global high order schemes, even at the interface where the wave number is discontinuous, the idea of the immersed interface method is employed. Numerical experiments are included to confirm the efficiency and accuracy of the proposed methods.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1010-m3204

Journal of Computational Mathematics, Vol. 29 (2011), Iss. 3 : pp. 324–340

Published online:    2011-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Helmholtz equation Compact finite difference scheme Discontinuous media Immersed interface method Nine-point stencil.

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