Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/95569
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Ma, C | en_US |
dc.creator | Cao, L | en_US |
dc.creator | Lin, Y | en_US |
dc.date.accessioned | 2022-09-22T06:13:55Z | - |
dc.date.available | 2022-09-22T06:13:55Z | - |
dc.identifier.issn | 1064-8275 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/95569 | - |
dc.language.iso | en | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.rights | © 2019 Society for Industrial and Applied Mathematics | en_US |
dc.rights | The following publication Ma, C., Cao, L., & Lin, Y. (2019). Multiscale Algorithms and Computations for the Time-Dependent Maxwell--Schrödinger System in Heterogeneous Nanostructures. SIAM Journal on Scientific Computing, 41(2), A1091-A1120 is available at https://doi.org/10.1137/18M1169709. | en_US |
dc.subject | Maxwell--Schrödinger system | en_US |
dc.subject | Homogenization method | en_US |
dc.subject | Multiscale asymptotic ex-pansion | en_US |
dc.subject | Finite element method | en_US |
dc.title | Multiscale algorithms and computations for the time-dependent Maxwell--Schrödinger system in heterogeneous nanostructures | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | A1091 | en_US |
dc.identifier.epage | A1120 | en_US |
dc.identifier.volume | 41 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.doi | 10.1137/18M1169709 | en_US |
dcterms.abstract | In this paper, we discuss the multiscale computations of the time-dependent Maxwell-Schrödinger 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-Schrödinger 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. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | SIAM journal on scientific computing, 2019, v. 41, no. 2, p. A1091-A1120 | en_US |
dcterms.isPartOf | SIAM journal on scientific computing | en_US |
dcterms.issued | 2019 | - |
dc.identifier.scopus | 2-s2.0-85065561088 | - |
dc.identifier.eissn | 1095-7197 | en_US |
dc.description.validate | 202209 bcfc | en_US |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | RGC-B2-0522, AMA-0296 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.pubStatus | Published | en_US |
dc.description.oaCategory | VoR allowed | en_US |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
18m1169709.pdf | 4.5 MB | Adobe PDF | View/Open |
Page views
61
Last Week
0
0
Last month
Citations as of Sep 22, 2024
Downloads
19
Citations as of Sep 22, 2024
SCOPUSTM
Citations
1
Citations as of Sep 26, 2024
WEB OF SCIENCETM
Citations
1
Citations as of Jun 27, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.