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Multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains
Cao, LQ; Cui, JZ; Zhu, DC
2002-07-24
Source PublicationSIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN0036-1429
Volume40Issue:2Pages:543-577
AbstractThe multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains are discussed in this paper. A multiscale asymptotic analysis formulation for this problem is presented by constructing properly the boundary layer. A multiscale numerical algorithm and a postprocessing technique are given. Finally, numerical results show that the method presented in this paper is effective and reliable.
Keywordmultiscale asymptotic analysis second order Helmholtz equation rapidly oscillating coefficients finite element method postprocessing technique
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000177261400008
PublisherSIAM PUBLICATIONS
Citation statistics
Cited Times:33[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17466
Collection中国科学院数学与系统科学研究院
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
2.Beijing Univ Aeronaut & Astronaut, Solid Mech Res Ctr, Beijing 100083, Peoples R China
Recommended Citation
GB/T 7714
Cao, LQ,Cui, JZ,Zhu, DC. Multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2002,40(2):543-577.
APA Cao, LQ,Cui, JZ,&Zhu, DC.(2002).Multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains.SIAM JOURNAL ON NUMERICAL ANALYSIS,40(2),543-577.
MLA Cao, LQ,et al."Multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains".SIAM JOURNAL ON NUMERICAL ANALYSIS 40.2(2002):543-577.
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