Michael Nieves m.nieves@keele.ac.uk
Asymptotic analysis of solutions to transmission problems in solids with many inclusions
Nieves
Authors
Abstract
We construct an asymptotic approximation to the solution of a transmission problem for a body containing a region occupied by many small inclusions. The cluster of inclusions is characterized by two small parameters that determine the nominal diameter of individual inclusions and their separation within the cluster. These small parameters can be comparable to each other. Remainder estimates of the asymptotic approximation are rigorously justified. Numerical illustrations demonstrate the efficiency of the asymptotic approach when compared with benchmark finite element algorithms.
Read More: https://epubs.siam.org/doi/10.1137/16M1102586
Acceptance Date | May 8, 2017 |
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Publication Date | Aug 22, 2017 |
Journal | SIAM Journal on Applied Mathematics |
Print ISSN | 0036-1399 |
Publisher | Society for Industrial and Applied Mathematics |
Pages | 1417 - 1443 |
DOI | https://doi.org/10.1137/16M1102586 |
Keywords | clouds of defects; transmission problems; approximations for large clusters; compound asymptotic approximations |
Publisher URL | http://epubs.siam.org/doi/10.1137/16M1102586 |
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https://creativecommons.org/licenses/by-nc/4.0/
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