MULTISCALE ALGORITHMS AND COMPUTATIONS FOR THE TIME-DEPENDENT MAXWELL-SCHRODINGER SYSTEM IN HETEROGENEOUS NANOSTRUCTURES

doi:10.1137/18M1169709

	MULTISCALE ALGORITHMS AND COMPUTATIONS FOR THE TIME-DEPENDENT MAXWELL-SCHRODINGER SYSTEM IN HETEROGENEOUS NANOSTRUCTURES
	Ma, Chupeng 1; Cao, Liqun1,2 ; Lin, Yanping 3
	2019
发表期刊	SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN	1064-8275
卷号	41 期号:2 页码:A1091-A1120
摘要	In this paper, we discuss the multiscale computations of the time-dependent Maxwell-Schrodinger system with rapidly oscillating discontinuous coefficients. The multiscale asymptotic method for the system is presented. We propose a novel multiscale asymptotic expansion for the vector potential to capture the oscillations caused by the quantum current density. To solve the homogenized Maxwell-Schrodinger system, we present an alternating Crank-Nicolson finite element method. The stability estimates and the solvability of the discrete system are established. An iteration algorithm together with its convergence analysis is given. Numerical examples are carried out to demonstrate the efficiency and accuracy of the multiscale algorithms.
关键词	Maxwell-Schrodinger system homogenization method multiscale asymptotic expansion finite element method
DOI	10.1137/18M1169709
语种	英语
资助项目	National Natural Science Foundation of China[11571353] ; National Natural Science Foundation of China[91330202] ; HKSAR GRF[B-Q56D] ; JRI of Polyu ; Funds for Creative Research Group of China[11321061]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000469225300017
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34812
专题	计算数学与科学工程计算研究所
通讯作者	Cao, Liqun
作者单位	1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Ma, Chupeng,Cao, Liqun,Lin, Yanping. MULTISCALE ALGORITHMS AND COMPUTATIONS FOR THE TIME-DEPENDENT MAXWELL-SCHRODINGER SYSTEM IN HETEROGENEOUS NANOSTRUCTURES[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2019,41(2):A1091-A1120.
APA	Ma, Chupeng,Cao, Liqun,&Lin, Yanping.(2019).MULTISCALE ALGORITHMS AND COMPUTATIONS FOR THE TIME-DEPENDENT MAXWELL-SCHRODINGER SYSTEM IN HETEROGENEOUS NANOSTRUCTURES.SIAM JOURNAL ON SCIENTIFIC COMPUTING,41(2),A1091-A1120.
MLA	Ma, Chupeng,et al."MULTISCALE ALGORITHMS AND COMPUTATIONS FOR THE TIME-DEPENDENT MAXWELL-SCHRODINGER SYSTEM IN HETEROGENEOUS NANOSTRUCTURES".SIAM JOURNAL ON SCIENTIFIC COMPUTING 41.2(2019):A1091-A1120.