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arXiv · 2202.07916

A spectral boundary integral method for the elastic obstacle scattering problem in three dimensions

Heping Dong·Jun Lai·Peijun Li
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Abstract

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.

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Heping Dong, Jun Lai, Peijun Li. 2022-02-16. A spectral boundary integral method for the elastic obstacle scattering problem in three dimensions. https://doi.org/10.1016/j.jcp.2022.111546

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