Boundary integral equations for thin bodies
Boundary integral equations for thin bodies
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DOI：
10.1002/nme.1620370108
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发表时间：
1994-01
影响因子：
2.9
通讯作者：
G. Krishnasamy;F. Rizzo;Yijun Liu
中科院分区：
文献类型：
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作者：
G. Krishnasamy;F. Rizzo;Yijun Liu
**摘要**：众所周知，仅使用常规边界积分方程（CBIE）的薄体边界积分方程公式是退化的。通过研究积分方程的离散形式，提出了一种将常规边界积分方程（CBIE）和超奇异边界积分方程（HBIE）相结合的薄刚性散射体混合公式，并且该公式对于薄的非刚性夹杂问题被证明是非退化的。还提出了一种近奇异积分方法，它对奇异积分也很有用。最后，给出了刚性和软质散射体声波散射的数值算例。
SUMMARY A boundary integral equation formulation for thin bodies which uses CBIE (conventional BIE) only is well known to be degenerate. A mixed formulation for a thin rigid scatterer which combines CBIE and HBIE (hypersingular BIE) is motivated by examining the discretized form of the integral equations, and this formulation is shown to be nondegenerate for thin non-rigid inclusion problems. A near-singular integration procedure, useful for singular integrals as well, is presented. Finally, numerical examples for acoustic wave scattering from rigid and soft scatterers are presented.