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EXACT NONREFLECTING BOUNDARY CONDITIONS FOR AN ACOUSTIC PROBLEM IN THREE DIMENSIONS 被引量：7

EXACT NONREFLECTING BOUNDARY CONDITIONS FOR AN ACOUSTIC PROBLEM IN THREE DIMENSIONS
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摘要 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. 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.
作者 Houde Han Chunxiong Zheng (Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China)
出处 《Journal of Computational Mathematics》 SCIE EI CSCD 2003年第1期15-24,共10页 计算数学（英文）
基金 This work is supported partly by the Special Funds for Major State Basic Research Projects of China and the National Science Foundation of China.
关键词 Exterior problem Nonreflecting artificial boundary condition Acoustic equa-tion Three-dimensions. Exterior problem, Nonreflecting artificial boundary condition, Acoustic equa-tion, Three-dimensions.
分类号 O175 [理学—基础数学]
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参考文献7

  • 1B. Alpert, L. Greengard and T. Hagstrom, Rapid evaluation of nonreflecting boundary kernels for time-domain wave propagation, SIAM J. Numer. Anal., 37 (2000), 1138-1164.
  • 2A. Bayliss and E. Turkel, Radiation boundary conditions for wave-like equations, Comm. Pure Appl. Math., 23(1980), 707-725.
  • 3B. Engquist and A. Majda, Absorbing boundary conditions for the numerical simulation of waves, Math. Comp., 31(1977), 629-651.
  • 4I.S. Gradshteyn and M. Ryzhik, Table of Integrals, Series and Products, Academic Press, 1980.
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  • 6R.L. Higdon, Absorbing boundary-conditions for diffence approximations to the multidimensional wave-equation, Math. Comput. 47(1986), 437-459.
  • 7J.C. Nedelec, Acoustic and electromagnetic equations: integral representations for harmonic problems, Springer, New York, 2001.

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Journal of Computational Mathematics
2003年 第1期

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