Boundary spectral method for acoustic scattering and radiation problems
Boundary spectral method for acoustic scattering and radiation problems
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声散射和辐射问题的边界谱方法
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
W. Hwang
中科院分区：
文献类型：
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作者：
W. Hwang
讨论了谱方法在求解边界积分方程中的应用。通过从Helmholtz积分方程中减去已知解，消除了Helmholtz积分方程的奇异性。因此，在谱方法中使用的任何阶的基函数，其乘以修正的Helmholtz积分方程中的非奇异核可以容易地和有效地被积分。用谱方法求解广义傅里叶系数，而不是用常规方法求解配置点处的变量，从而减少了计算中未知数的个数和矩阵元素的存储量。本文以球的散射和辐射问题为例说明了这种方法。
The spectral method is considered in solving boundary integral equations. By subtracting known solutions from the Helmholtz integral equation, the singularities of the Helmholtz integral equation are removed. Therefore, any order of basis functions, used in spectral methods, that times nonsingular kernels in the modified Helmholtz integral equation can be integrated easily and efficiently. Instead of solving the variables at collocation points using conventional methods, the generalized Fourier coefficients are solved by the spectral method which reduces the number of unknowns and the storage of matrix elements in computation. Scattering and radiation problems from a sphere are used to illustrate the technique in the present paper.