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A source transfer domain decomposition method for Helmholtz equations in unbounded domain
澳门新葡8455最新网站:2016年11月14日 10:34 点击数:

报告人:向雪霜

报告地点:澳门新葡8455最新网站108室

报告澳门新葡8455最新网站:2016年11月18日星期五14:00-15:00

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报告摘要:

We propose and study a domain decomposition method for solving the truncated perfectly matched layer (PML) approximation in bounded domain of Helmholtz scattering problems. The method is based on the decomposition of the domain into nonoverlapping layers and the idea of source transfer which transfers the sources equivalently layer by layer so that the solution in the final layer can be solved using a PML method defined locally outside the last two layers. The convergence of the method is proved for the case of constant wave number based on the analysis of the fundamental solution of the PML equation. The method can be used as an efficient preconditioner in the preconditioned GMRES method for solving discrete Helmholtz equations with constant and heterogeneous wave numbers. Numerical examples are included.

主讲人概况:

Dr. Xiang Xueshuang got his Ph.D in computational mathematics from Academy of Mathematics and System Sciences, Chinese Academy of Sciences in 2014. Since then, he joined Qian Xuesen Laboratory of Space Technology as assistant research fellow. His researches focus on numerical methods for partial differential equations, image processing and deep learning. In particular, his research interest covers developing efficient algorithms for high frequency wave computation, analysis of convolutional neural networks.

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