A windowed Green function method for elastic scattering problems on a half-space
A windowed Green function method for elastic scattering problems on a half-space
复制标题
DOI：
10.1016/j.cma.2020.113651
复制
发表时间：
2021-01-15
影响因子：
7.2
通讯作者：
Yin, Tao
中科院分区：
文献类型：
--
作者：
Bruno, Oscar P.;Yin, Tao
本文提出了一种加窗绿色函数（WGF）方法，用于数值求解“局部粗糙面”（即半空间的局部扰动），在Dirichlet或Neumann边界条件下，以及在二维和三维空间中。建议的WGF方法依赖于一个积分方程制定的基础上的自由空间绿色函数，连同平滑算子加窗（基于“缓慢上升”的加窗函数）和高效的高阶奇异积分方法。该方法避免了昂贵的层绿色函数的弹性问题的半空间上的评价，它产生一致的快速收敛的所有入射角。二维和三维问题的数值实验，证明了所提出的方法的精度和超代数快速收敛的窗口大小的增长。(C)2020 Elsevier B.V.保留所有权利。
This paper presents a windowed Green function (WGF) method for the numerical solution of problems of elastic scattering by "locally-rough surfaces" (i.e., local perturbations of a half space), under either Dirichlet or Neumann boundary conditions, and in both two and three spatial dimensions. The proposed WGF method relies on an integral-equation formulation based on the free space Green function, together with smooth operator windowing (based on a "slow-rise" windowing function) and efficient high-order singular-integration methods. The approach avoids the evaluation of the expensive layer Green function for elastic problems on a half-space, and it yields uniformly fast convergence for all incident angles. Numerical experiments for both two and three dimensional problems are presented, demonstrating the accuracy and super-algebraically fast convergence of the proposed method as the window-size grows. (C) 2020 Elsevier B.V. All rights reserved.