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An Adaptive Perfectly Matched Layer Method for Multiple Cavity Scattering Problems
Wu, Xinming1; Zheng, Weiying2
AbstractA uniaxial perfectly matched layer (PML) method is proposed for solving the scattering problem with multiple cavities. By virtue of the integral representation of the scattering field, we decompose the problem into a system of single-cavity scattering problems which are coupled with Dirichlet-to-Neumann maps. A PML is introduced to truncate the exterior domain of each cavity such that the computational domain does not intersect those for other cavities. Based on the a posteriori error estimates, an adaptive finite element algorithm is proposed to solve the coupled system. The novelty of the proposed method is that its computational complexity is comparable to that for solving uncoupled single-cavity problems. Numerical experiments are presented to demonstrate the efficiency of the adaptive PML method.
KeywordUniaxial perfectly matched layer multiple cavity scattering adaptive finite element a posteriori error estimate
Funding ProjectChina NSF[91330202] ; China NSF[11301089] ; China NSF[11171334] ; China NSF[91430215] ; Funds for Creative Research Groups of China[11321061] ; National 863 Project of China[2012AA01A309] ; National Magnetic Confinement Fusion Science Program[2015GB110003]
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000369252700011
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Document Type期刊论文
Corresponding AuthorWu, Xinming
Affiliation1.Fudan Univ, Sch Math Sci, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, NCMIS,LSEC, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Wu, Xinming,Zheng, Weiying. An Adaptive Perfectly Matched Layer Method for Multiple Cavity Scattering Problems[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2016,19(2):534-558.
APA Wu, Xinming,&Zheng, Weiying.(2016).An Adaptive Perfectly Matched Layer Method for Multiple Cavity Scattering Problems.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,19(2),534-558.
MLA Wu, Xinming,et al."An Adaptive Perfectly Matched Layer Method for Multiple Cavity Scattering Problems".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 19.2(2016):534-558.
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