Engineering Mechanics

Proceedings Vol. 18 (2012)

ENGINEERING MECHANICS 2012

18th INTERNATIONAL CONFERENCE
May 14 – 17, 2012, Svratka, Czech Republic

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Editors: Jiří Náprstek and Cyril Fischer

ISBN 978-80-86246-39-0 (printed, Extended Abstracts)
ISBN 978-80-86246-40-6 (electronic)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

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On effective implementation of the non-penetration condition for non-matching grids preserving scalability of FETI based algorithms

T. Brzobohatý, O. Vlach, Z. Dostál
pages 159 - 160, full text

The 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.

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All papers were reviewed by members of the scientific committee.

Engineering Mechanics

International Conference

Proceedings Vol. 18 (2012)

ENGINEERING MECHANICS 2012