In this paper, we consider the scattering of a plane wave by a rigid obstacle embedded in a homogeneous and isotropic elastic medium in three dimensions. Based on the Helmholtz decomposition, the elastic scattering problem is reduced to a coupled boundary value problem for the Helmholtz and Maxwell equations. A novel system of boundary integral equations is formulated and a spectral boundary integral method is developed for the coupled boundary value problem. Numerical experiments are presented to demonstrate the superior performance of the proposed method.
翻译:在本文中,我们考虑了在同质和异位弹性介质中嵌入的硬性障碍下,在三个维度上散布飞机波的问题,根据Helmholtz分解法,弹性散射问题被降为Helmholtz和Maxwell等式的边界值问题,为混合边界值问题设计了一个新的边界整体方程式系统,并开发了一个光谱边界整体法。