近表面洞室对矢量波散射问题的边界元解

A BIE's Solution to the Problem about Vector Waves Scattered by a Cavity in Half Space

采用无限边界元方法研究了半空间中一近表面洞室对矢量波的散射问题，给出了以全空间格林函数为基本解且半空间表面离散的边界积分方程．在这一边界积分方程中，较好地消除了主值积分．在半空间表面进行离散时，采用无限单元与有限单元相结合的方法，大大减少了计算量，提高了精度．

Vector boundary integral equations (BIEs) are presented with Stokes (full space) fundamental tensors, for scattering of time harmonic elastic waves by cavity embedded in a homogeneous, isotropic, linear elastic half space. Numerical calculation is based on BIEs free from singularity. A type of infinite boundary elements (IBE) is introduced for discretizing the infinite half space surface. Through the calculation and analysis of the scattering of plane SV waves by an infinite long cylindrical hole, and the comparison with the previous analytical solutions, excellent accuracy and high efficiency has been achieved by the method proposed in the paper.