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Fourth-Order Compact Schemes for Helmholtz Equations with Piecewise Wave Numbers in the Polar Coordinates

Fourth-Order Compact Schemes for Helmholtz Equations with Piecewise Wave Numbers in the Polar Coordinates
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Year:    2016

Author:    Xiaolu Su, Xiufang Feng, Zhilin Li

Journal of Computational Mathematics, Vol. 34 (2016), Iss. 5 : pp. 499–510

Abstract

In this paper, fourth-order compact finite difference schemes are proposed for solving Helmholtz equation with piecewise wave numbers in polar coordinates with axis-symmetric and in some cases that the solution depends both of independent variables. The idea of the immersed interface method is applied to deal with the discontinuities in the wave number and certain derivatives of the solution. Numerical experiments are included to confirm the accuracy and efficiency of the proposed method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1604-m2015-0290

Journal of Computational Mathematics, Vol. 34 (2016), Iss. 5 : pp. 499–510

Published online:    2016-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Helmholtz equation Compact finite difference schemes Polar coordinate The immersed interface method High order method.

Author Details

Xiaolu Su

Xiufang Feng

Zhilin Li

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