Domain decomposition method for a model crack problem with a possible contact of crack edges

Domain decomposition method for a model crack problem with a possible contact of crack edges Full article

Journal

Computational Mathematics and Mathematical Physics
ISSN: 0965-5425

Output data

Year: 2015, Volume: 55, Number: 2, Pages: 305-316 Pages count : 12 DOI: 10.1134/S0965542515020165

Tags

domain decomposition method; Lagrange multipliers; scalar Poisson equation; theory of cracks; unilateral constraint; Uzawa algorithm

Authors

Rudoy E.M. ^1,2

Affiliations

1	Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent’eva 15, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russian Federation

The scalar Poisson equation is considered in a domain having a cut with unilateral constraints specified on its edges. An iterative method is proposed for solving the problem. The method is based on domain decomposition and the Uzawa algorithm for finding a saddle point of the Lagrangian. According to the method, the original domain is divided into two subdomains and a linear problem for Poisson’s equation is solved in each of them at every iteration step. The solution in one domain is related to that in the other by two Lagrange multipliers: one is used to match the solutions, and the other, to satisfy the unilateral constraint. Examples of the numerical solution of the problem are given. © 2015, Pleiades Publishing, Ltd.

Rudoy E.M.
Domain decomposition method for a model crack problem with a possible contact of crack edges
Computational Mathematics and Mathematical Physics. 2015. V.55. N2. P.305-316. DOI: 10.1134/S0965542515020165 WOS Scopus РИНЦ OpenAlex

Web of science:	WOS:000350801800015
Scopus:	2-s2.0-84924159554
Elibrary:	24011342
OpenAlex:	W2045691056

DB	Citing
Scopus	11
OpenAlex	11
Elibrary	12
Web of science	8