A fast and high-order method for the three-dimensional elastic wave scattering problem

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• 作者：Fanbin Bu ; Junshan Lin ; Fern ; o Reitich
• 关键词：Boundary integral equation method ; Elastic wave scattering ; FFT
• 刊名：Journal of Computational Physics
• 出版年：1 February, 2014
• 年：2014
• 卷：258
• 期：Complete
• 页码：856-870
• 全文大小：1076 K

文摘

In this paper we present a fast and high-order boundary integral equation method for the elastic scattering by three-dimensional large penetrable obstacles. The algorithm extends the method introduced in for the acoustic surface scattering to the fully elastic case. In our algorithm, high-order accuracy is achieved through the use of the partition of unity and a semi-classical treatment of relevant singular integrals. The computational efficiency associated with the nonsingular integrals is attained by the method of equivalent source representations on a Cartesian grid and Fast Fourier Transform (FFT). The resulting algorithm computes one matrix-vector product associated with the discretization of the integral equation with operations, and it shows algebraic convergence. Several numerical experiments are provided to demonstrate the efficiency of the method.