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Second-order two-scale analysis and numerical algorithms for the hyperbolic-parabolic equations with rapidly oscillating coefficients
Dong Hao1; Nie Yu-Feng1; Cui Jun-Zhi2; Wu Ya-Tao1
2015-09-01
Source PublicationCHINESE PHYSICS B
ISSN1674-1056
Volume24Issue:9Pages:14
AbstractWe study the hyperbolic-parabolic equations with rapidly oscillating coefficients. The formal second-order two-scale asymptotic expansion solutions are constructed by the multiscale asymptotic analysis. In addition, we theoretically explain the importance of the second-order two-scale solution by the error analysis in the pointwise sense. The associated explicit convergence rates are also obtained. Then a second-order two-scale numerical method based on the Newmark scheme is presented to solve the equations. Finally, some numerical examples are used to verify the effectiveness and efficiency of the multiscale numerical algorithm we proposed.
Keywordhyperbolic-parabolic equations rapidly oscillating coefficients second-order two-scale numerical method Newmark scheme
DOI10.1088/1674-1056/24/9/090204
Language英语
Funding ProjectNational Natural Science Foundation of China[11471262] ; National Basic Research Program of China[2012CB025904] ; State Key Laboratory of Science and Engineering Computing ; Center for High Performance Computing of Northwestern Polytechnical University, China
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000363325200004
PublisherIOP PUBLISHING LTD
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21076
Collection计算数学与科学工程计算研究所
Affiliation1.Northwestern Polytech Univ, Sch Sci, Xian 710129, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Dong Hao,Nie Yu-Feng,Cui Jun-Zhi,et al. Second-order two-scale analysis and numerical algorithms for the hyperbolic-parabolic equations with rapidly oscillating coefficients[J]. CHINESE PHYSICS B,2015,24(9):14.
APA Dong Hao,Nie Yu-Feng,Cui Jun-Zhi,&Wu Ya-Tao.(2015).Second-order two-scale analysis and numerical algorithms for the hyperbolic-parabolic equations with rapidly oscillating coefficients.CHINESE PHYSICS B,24(9),14.
MLA Dong Hao,et al."Second-order two-scale analysis and numerical algorithms for the hyperbolic-parabolic equations with rapidly oscillating coefficients".CHINESE PHYSICS B 24.9(2015):14.
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