Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Prof. Zhiming Chen, Institute of Computational Mathematics and Scientific/Engineering Computing, CAS
Inviter:
Title:
Computation of High Frequency Waves in Unbounded Domain: Perfectly Matched Layer and Source Transfer
Time & Venue:
2017.3.16 16:00-17:00 思源楼一层报告厅
Abstract:
The talk considers numerical techniques for solving high frequency Helmholtz equations in unbounded domain. We first introduce several key ideas which played important role in solving the Helmholtz problem in unbounded domain including the radiation condition, absorbing boundary condition, and perfectly matched layer. The focus will be a recently introduced source transfer domain decomposition method (STDDM) whose optimal complexity is proved in the case of constant wave number based on the convergence theory of PML method. Our numerical experiments show that STDDM can be used as an efficient preconditioner for Helmholtz equations with heterogeneous wave numbers.