A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain


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  • Speaker(s)向雪霜博士、张硕博士
  • DateFrom 2015-07-08 To 2015-07-08
  • Venue数学中心 全斋29

报告人:向雪霜研究员, 中科院数学与系统科学研究院

时间:7月8日 14:00-17:00

地点:数学中心 全斋29

北京计算数学学会系列报告 

题目:A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain

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 non-overlapping 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. 


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