Abstract
Variationally consistent approximation of the non-penetration conditions and friction laws was introduced by Wohlmuth [Acta Numer. 20 (2011) 569–734] as a powerful tool for the effective discretization of contact problems. This approach is especially useful when the potential contact interface is large and curved or when non-matching grids are applied. The point of this note is to give bounds on the singular values of the constraint matrices arising from the variationally consistent approximation and to indicate their application in the analysis of the scalable duality based domain decomposition algorithms for the solution of multi-body contact problems [Comput. Methods Appl. Mech. Eng. 247–248 (2012), 37–50.]. The theoretical results are illustrated by numerical experiments.
Funding source: IT4Innovations Center of Excellence project supported by Operational Programme `Research and Development for Innovations' funded by the Structural Funds of the European Union
Award Identifier / Grant number: CZ.1.05/1.1.00/02.0070
© 2015 by De Gruyter
