|
Dal'nevostochnyi Matematicheskii Zhurnal, 2016, Volume 16, Number 2, Pages 137–146
(Mi dvmg328)
|
|
|
|
Duality method for solving model crack problem
E. M. Vikhtenkoa, R. V. Nammab, M. V. Chervyakovaa a Pacific National University, Khabarovsk
b Computer Centre of Far Eastern Branch RAS
Abstract:
We consider the duality method based on the use of modified Lagrangian functional for solving a model of elastic problem with a crack. An article presents the theorems, allowing to use Uzawa method for search a saddle point of the modified Lagrangian functional. The results of numerical experiments are given.
Key words:
model problem with a crack, variational inequality, modified Lagrangian functional, Uzawa method, finite element method.
Received: 10.06.2016
Citation:
E. M. Vikhtenko, R. V. Namm, M. V. Chervyakova, “Duality method for solving model crack problem”, Dal'nevost. Mat. Zh., 16:2 (2016), 137–146
Linking options:
https://www.mathnet.ru/eng/dvmg328 https://www.mathnet.ru/eng/dvmg/v16/i2/p137
|
Statistics & downloads: |
Abstract page: | 229 | Full-text PDF : | 86 | References: | 31 |
|