000009247 001__ 9247
000009247 005__ 20141204092421.0
000009247 04107 $$aeng
000009247 046__ $$k12/05/2014
000009247 100__ $$aBrzobohatý, T.
000009247 24500 $$aOn effective implementation of the non-penetration condition for non-matching grids preserving scalability of FETI based algorithms

000009247 24630 $$n18.$$pEngineering Mechanics 2012
000009247 260__ $$bInstitute of Theoretical and Applied Mechanics, AS CR, Prague
000009247 506__ $$arestricted
000009247 520__ $$2eng$$aThe point of this work is to extend our results obtained for elastic contact problems to the contact problems with non-matching grids which necessarily emerge, e.g., in the solution of transient contact problems or in contact shape optimization. We want to get good approximation and the constraint matrix B with nearly orthogonal rows. We consider both standard engineering approaches such as node to segment, or mortar elements. We give simple bounds on the singular values of the resulting matrix B and results of numerical experiments, including both the academic examples and some problems of practical interest. We conclude that the normalized orthogonal mortars proposed by Wohlmuth can be used to approximate the non-penetration conditions in a way that complies with the requirements of the FETI methods.

000009247 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000009247 653__ $$acontact problems, mortar elements, TFETI, scalability

000009247 7112_ $$aEngineering Mechanics 2012$$cSvratka (CZ)$$d12/05/2014 - 15/05/2014$$gEM2012
000009247 720__ $$aBrzobohatý, T.$$iVlach, O.$$iDostál, Z.
000009247 8560_ $$ffischerc@itam.cas.cz
000009247 8564_ $$s151121$$uhttps://invenio.itam.cas.cz/record/9247/files/216_Brzobohaty_T-FT.pdf$$yOriginal version of the author's contribution as presented on CD, paper (No. 216).
000009247 962__ $$r8924
000009247 980__ $$aPAPER