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

doi:10.1088/1674-1056/24/9/090204

	Second-order two-scale analysis and numerical algorithms for the hyperbolic-parabolic equations with rapidly oscillating coefficients
	Dong Hao 1; Nie Yu-Feng 1; Cui Jun-Zhi2 ; Wu Ya-Tao 1
	2015-09-01
发表期刊	CHINESE PHYSICS B
ISSN	1674-1056
卷号	24 期号:9 页码:14
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.
关键词	hyperbolic-parabolic equations rapidly oscillating coefficients second-order two-scale numerical method Newmark scheme
DOI	10.1088/1674-1056/24/9/090204
语种	英语
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
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000363325200004
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21076
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.