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

Abstract eng:
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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