Domain decomposition method for crack problems with nonpenetration condition Full article
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ESAIM: Mathematical Modelling and Numerical Analysis
ISSN: 2822-7840 |
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| Output data | Year: 2016, Volume: 50, Number: 4, Pages: 995-1009 Pages count : 15 DOI: 10.1051/m2an/2015064 | ||
| Tags | Crack; Domain decomposition method; Lagrange multipliers; Nonpenetration condition; Uzawa's algorithm | ||
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Abstract:
The work deals with an iteration method for numerical solving the equilibrium problem of two-dimensional elastic body with a crack under the nonpenetration condition. The method is based on the domain decomposition and Uzawa's algorithm. To construct an algorithm, the domain is partitioned into two subdomains whose common boundary contains the crack. In each subdomain the linear problems are solved. We use Lagrangian multipliers to couple the solutions and provide the nonpenetration condition on the crack. © 2016 EDP Sciences, SMAI.
Cite:
Rudoy E.
Domain decomposition method for crack problems with nonpenetration condition
ESAIM: Mathematical Modelling and Numerical Analysis. 2016. V.50. N4. P.995-1009. DOI: 10.1051/m2an/2015064 WOS Scopus РИНЦ OpenAlex
Domain decomposition method for crack problems with nonpenetration condition
ESAIM: Mathematical Modelling and Numerical Analysis. 2016. V.50. N4. P.995-1009. DOI: 10.1051/m2an/2015064 WOS Scopus РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000380371800003 |
| Scopus: | 2-s2.0-84975303272 |
| Elibrary: | 27138453 |
| OpenAlex: | W2426562409 |