复合介质散射的时域边界积分方程和卷积正交

Math. Comput. Model. Pub Date : 2020-10-27 DOI:10.1090/mcom/3730

A. Rieder, F. Sayas, J. Melenk

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引用次数: 4

摘要

研究了分段等波数非均质介质中的声散射问题。在空间上采用伽辽金边界元法，在时间上采用龙格-库塔卷积积分法。我们证明了该方案的适定性，并给出了该方案在空间和时间上的收敛性的先验估计。

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Time domain boundary integral equations and convolution quadrature for scattering by composite media

We consider acoustic scattering in heterogeneous media with piecewise constant wave number. The discretization is carried out using a Galerkin boundary element method in space and Runge-Kutta convolution quadrature in time. We prove well-posedness of the scheme and provide a priori estimates for the convergence in space and time.

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来源期刊

Math. Comput. Model.

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