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Volume 21, Issue 1
Exact Nonreflecting Boundary Conditions for an Acoustic Problem in Three Dimensions

Houde Han & Chunxiong Zhang

J. Comp. Math., 21 (2003), pp. 15-24.

Published online: 2003-02

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  • Abstract

In this paper, nonreflecting artificial boundary conditions are considered for an acoustic problem in three dimensions. With the technique of Fourier decomposition under the orthogonal basis of spherical harmonics, three kinds of equivalent exact artificial boundary conditions are obtained on a spherical artificial boundary. A numerical test is presented to show the performance of the method.

  • Keywords

Exterior problem, Nonreflecting artificial boundary condition, Acoustic equation, Three-dimensions.

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COPYRIGHT: © Global Science Press

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@Article{JCM-21-15, author = { Houde Han and Chunxiong Zhang }, title = {Exact Nonreflecting Boundary Conditions for an Acoustic Problem in Three Dimensions}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {1}, pages = {15--24}, abstract = {

In this paper, nonreflecting artificial boundary conditions are considered for an acoustic problem in three dimensions. With the technique of Fourier decomposition under the orthogonal basis of spherical harmonics, three kinds of equivalent exact artificial boundary conditions are obtained on a spherical artificial boundary. A numerical test is presented to show the performance of the method.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8872.html} }
TY - JOUR T1 - Exact Nonreflecting Boundary Conditions for an Acoustic Problem in Three Dimensions AU - Houde Han & Chunxiong Zhang JO - Journal of Computational Mathematics VL - 1 SP - 15 EP - 24 PY - 2003 DA - 2003/02 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8872.html KW - Exterior problem, Nonreflecting artificial boundary condition, Acoustic equation, Three-dimensions. AB -

In this paper, nonreflecting artificial boundary conditions are considered for an acoustic problem in three dimensions. With the technique of Fourier decomposition under the orthogonal basis of spherical harmonics, three kinds of equivalent exact artificial boundary conditions are obtained on a spherical artificial boundary. A numerical test is presented to show the performance of the method.

Houde Han and Chunxiong Zhang . (2003). Exact Nonreflecting Boundary Conditions for an Acoustic Problem in Three Dimensions. Journal of Computational Mathematics. 21 (1). 15-24. doi:
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