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Second-order two-scale analysis and numerical algorithms for the hyperbolic-parabolic equations with rapidly oscillating coefficients

文献类型：期刊论文

作者Dong Hao1; Nie Yu-Feng1; Cui Jun-Zhi2; Wu Ya-Tao1
刊名CHINESE PHYSICS B
出版日期2015-09-01
卷号24期号:9页码:14
关键词hyperbolic-parabolic equations rapidly oscillating coefficients second-order two-scale numerical method Newmark scheme
ISSN号1674-1056
DOI10.1088/1674-1056/24/9/090204
英文摘要We 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.
资助项目National 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研究方向Physics
语种英语
WOS记录号WOS:000363325200004
出版者IOP PUBLISHING LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21075]  
专题计算数学与科学工程计算研究所
通讯作者Nie Yu-Feng
作者单位1.Northwestern Polytech Univ, Sch Sci, Xian 710129, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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