000009126 001__ 9126
000009126 005__ 20141204092410.0
000009126 04107 $$aeng
000009126 046__ $$k12/05/2014
000009126 100__ $$aDobiáš, J.
000009126 24500 $$aScalable algorithm for non-linear problems of solid mechanics

000009126 24630 $$n18.$$pEngineering Mechanics 2012
000009126 260__ $$bInstitute of Theoretical and Applied Mechanics, AS CR, Prague
000009126 506__ $$arestricted
000009126 520__ $$2eng$$aThe 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. .

000009126 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000009126 653__ $$acontact non-linearity, geometric non-linearity, material non-linearity, domain decomposition, scalability

000009126 7112_ $$aEngineering Mechanics 2012$$cSvratka (CZ)$$d12/05/2014 - 15/05/2014$$gEM2012
000009126 720__ $$aDobiáš, J.$$iPták, S.$$iDostál, Z.$$iKozubek, T.$$iMarkopoulos, A.
000009126 8560_ $$ffischerc@itam.cas.cz
000009126 8564_ $$s457644$$uhttps://invenio.itam.cas.cz/record/9126/files/012_Dobias_J-FT.pdf$$yOriginal version of the author's contribution as presented on CD, paper (No. 012).
000009126 962__ $$r8924
000009126 980__ $$aPAPER