Scalable algorithm for non-linear problems of solid mechanics

Abstract eng:
The paper is concerned with a novel algorithm for solution to contact problems stemming from the TFETI (Total Finite Element Tearing and Interconnecting) domain decomposition method. The TFETI based technique converts the original contact problem to the quadratic programming one with the equalities and simple bound constraints. Our new algorithm exhibits both parallel and numerical scalabilities so that it enables us to effectively solve steady-state problems of deformable bodies undergoing contact, geometric and material non-linear effects. In this paper we propose algorithm with nested iteration strategy, where its inner part consists of a new version of our previously developed MPRGP and SMALBE algorithms and the outer loop iterates on the geometric and material nonlinearities. Numerical experiments include solutions to steady-state problems with non-linear effects. .

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