A spectral boundary integral method for the elastic obstacle scattering problem in three dimensions
Numerical Analysis
2022-09-14 v1 Numerical Analysis
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.
Cite
@article{arxiv.2202.07916,
title = {A spectral boundary integral method for the elastic obstacle scattering problem in three dimensions},
author = {Heping Dong and Jun Lai and Peijun Li},
journal= {arXiv preprint arXiv:2202.07916},
year = {2022}
}