E. M. Vikhtenko, R. V. Namm, M. V. Chervyakova, “Duality method for solving model crack problem”, Dal'nevost. Mat. Zh., 2016, Volume 16, Number 2,Pages <nobr>137

Duality method for solving model crack problem

E. M. Vikhtenko^a, R. V. Namm^ab, M. V. Chervyakova^a

^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.

UDC: 519.6

MSC: Primary 65K15; Secondary 74P10

Received: 10.06.2016