arXiv subjects

Ivan I. Dyyak

Publications and source records attributed to Ivan I. Dyyak.

3 recordsLinked to original sources

arXiv2015

Convergence of penalty Robin-Robin domain decomposition methods for unilateral multibody contact problems of elasticity

The paper is devoted to the penalty Robin-Robin domain decomposition methods (DDMs), proposed by us for the solution of unilateral multibody contact problems of elasticity. These DDMs are based on the penalty method for variational inequalities and some stationary and nonstationary iterative methods for nonlinear variational equations. The main result of the paper is that we give the mathematical justification of proposed DDMs and prove theorems on their convergence. We also investigate the numerical efficiency of these methods using the finite element approximations.

math.NA↗

arXiv2012

Domain decomposition methods for problems of unilateral contact between elastic bodies with nonlinear Winkler covers

In this paper we propose on continuous level a class of domain decomposition methods of Robin-Robin type to solve the problems of unilateral contact between elastic bodies with nonlinear Winkler covers. These methods are based on abstract nonstationary iterative algorithms for nonlinear variational equations in reflexive Banach spaces. We also provide numerical investigations of obtained methods using finite element approximations.

math.NA↗

arXiv2012

Penalty Robin-Robin domain decomposition schemes for contact problems of nonlinear elastic bodies

In this paper we propose on continuous level several domain decomposition methods to solve unilateral and ideal multibody contact problems of nonlinear elasticity. We also present theorems about convergence of these methods.

math.NA↗