A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term

doi:10.1080/00036811.2021.1929932

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	A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term
	Meng, Shixu1 ; Oudghiri-Idrissi, Othman 2; Guzina, Bojan B.2
	2021-06-04
发表期刊	APPLICABLE ANALYSIS
ISSN	0003-6811
页码	34
摘要	We pursue a low-wave number, second-order homogenized solution of the time-harmonic wave equation at both low and high frequency in periodic media with a source term whose frequency resides inside a band gap. Considering the wave motion in an unbounded medium R-d (d >= 1), we first use the (Floquet-)Bloch transform to formulate an equivalent variational problem in a bounded domain. By investigating the source term's projection onto certain periodic functions, the second-order model can then be derived via asymptotic expansion of the Bloch eigenfunction and the germane dispersion relationship. We establish the convergence of the second-order homogenized solution, and we include numerical examples to illustrate the convergence result.
关键词	Waves in periodic media dynamic homogenization finite frequency band gap (Floquet-)Bloch transform variational formulation
DOI	10.1080/00036811.2021.1929932
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000659433300001
出版者	TAYLOR & FRANCIS 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/58774
专题	应用数学研究所
通讯作者	Meng, Shixu
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing, Peoples R China 2.Univ Minnesota, Dept Civil Environm & Geoengn, Minneapolis, MN 55415 USA
推荐引用方式 GB/T 7714	Meng, Shixu,Oudghiri-Idrissi, Othman,Guzina, Bojan B.. A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term[J]. APPLICABLE ANALYSIS,2021:34.
APA	Meng, Shixu,Oudghiri-Idrissi, Othman,&Guzina, Bojan B..(2021).A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term.APPLICABLE ANALYSIS,34.
MLA	Meng, Shixu,et al."A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term".APPLICABLE ANALYSIS (2021):34.