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

doi:10.1080/00036811.2021.1929932

	A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term
	Meng, Shixu 2; Oudghiri-Idrissi, Othman 1; Guzina, Bojan B.1
刊名	APPLICABLE ANALYSIS
	2021-06-04
页码	34
关键词	Waves in periodic media dynamic homogenization finite frequency band gap (Floquet-)Bloch transform variational formulation
ISSN号	0003-6811
DOI	10.1080/00036811.2021.1929932
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000659433300001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58773]
专题	中国科学院数学与系统科学研究院
通讯作者	Meng, Shixu
作者单位	1.Univ Minnesota, Dept Civil Environm & Geoengn, Minneapolis, MN 55415 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing, Peoples R China
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.