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A Uniaxial Optimal Perfectly Matched Layer Method for Time-harmonic Scattering Problems 被引量:5

A Uniaxial Optimal Perfectly Matched Layer Method for Time-harmonic Scattering Problems
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摘要 We develop a uniaxial optimal perfectly matched layer (opt PML) method for solving the time-harmonic scattering problems by choosing a particular absorbing function with unbounded integral in a rectangular domain. With this choice, the solution of the optimal PML problem not only converges exponentially to the solution of the original scatting problem, but also is insensitive to the thickness of the PML layer for sufficiently small parameter ε0. Numerical experiments are included to illustrate the competitive behavior of the proposed optimal method. We develop a uniaxial optimal perfectly matched layer (opt PML) method for solving the time-harmonic scattering problems by choosing a particular absorbing function with unbounded integral in a rectangular domain. With this choice, the solution of the optimal PML problem not only converges exponentially to the solution of the original scatting problem, but also is insensitive to the thickness of the PML layer for sufficiently small parameter ε0. Numerical experiments are included to illustrate the competitive behavior of the proposed optimal method.
出处 《Communications in Mathematical Research》 CSCD 2010年第3期255-268,共14页 数学研究通讯(英文版)
基金 The Major State Research Development Program (2005CB321701) of China the NSF(10801063) of China
关键词 uniaxial optimal perfectly matched layer time-harmonic scattering CONVERGENCE uniaxial optimal perfectly matched layer, time-harmonic scattering, convergence
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