The Library
A priori and a posteriori analysis of the quasinonlocal quasicontinuum method in 1D
Tools
Ortner, Christoph (2011) A priori and a posteriori analysis of the quasinonlocal quasicontinuum method in 1D. Mathematics of Computation, Volume 80 (Number 275). pp. 1265-1285. doi:10.1090/S0025-5718-2010-02453-6 ISSN 0025-5718.
|
PDF
WRAP_2011-MCOM-qnl1d.pdf - Published Version - Requires a PDF viewer. Download (295Kb) | Preview |
|
|
PDF (Coversheet)
WRAP_Coversheet.pdf - Requires a PDF viewer. Download (188Kb) | Preview |
Official URL: http://dx.doi.org/10.1090/S0025-5718-2010-02453-6
Abstract
For a next-nearest neighbour pair interaction model in a periodic domain, a priori and a posteriori analyses of the quasinonlocal quasicontinuum method (QNL-QC) are presented. The results are valid for large deformations and essentially guarantee a one-to-one correspondence between atomistic solutions and QNL-QC solutions. The analysis is based on consistency error estimates in negative norms, novel a priori and a posteriori stability estimates, and a quantitative inverse function theorem.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics T Technology > TA Engineering (General). Civil engineering (General) |
||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Multiscale modeling, Continuum mechanics | ||||
Journal or Publication Title: | Mathematics of Computation | ||||
Publisher: | American Mathematical Society | ||||
ISSN: | 0025-5718 | ||||
Official Date: | 2011 | ||||
Dates: |
|
||||
Volume: | Volume 80 | ||||
Number: | Number 275 | ||||
Page Range: | pp. 1265-1285 | ||||
DOI: | 10.1090/S0025-5718-2010-02453-6 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 20 December 2015 | ||||
Date of first compliant Open Access: | 20 December 2015 | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC) |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year