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A priori and a posteriori analysis of the quasinonlocal quasicontinuum method in 1D
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Ortner, Christoph. (2011) A priori and a posteriori analysis of the quasinonlocal quasicontinuum method in 1D. Mathematics of Computation, Vol.80 (No.275). pp. 1265-1285. ISSN 0025-5718
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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 |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Mathematics of Computation |
| Publisher: | American Mathematical Society |
| ISSN: | 0025-5718 |
| Date: | 2011 |
| Volume: | Vol.80 |
| Number: | No.275 |
| Page Range: | pp. 1265-1285 |
| Identification Number: | 10.1090/S0025-5718-2010-02453-6 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/43917 |
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