The goal of this paper is to improve a condition number bound proven in [5] for a Balancing Domain DecompositionMethod by Constraints (BDDC) for the Reissner- Mindlin plate bending problem discretized with MITC elements. This BDDC preconditioner is based on selecting the plate rotations and deflection degrees of freedom at the subdomain vertices as primal continuity constraints.
Quasi-optimality of BDDC Methods for MITC Reissner-Mindlin Problems / L.B. da Veiga, C. Chinosi, C. Lovadina, L.F. Pavarino, J. Schöberl (LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING). - In: Domain Decomposition Methods in Science and Engineering XX / [a cura di] R. Bank, M.O. Widlund, J. Xu. - [s.l] : Springer, 2013. - ISBN 9783642352744. - pp. 639-646 [10.1007/978-3-642-35275-1_76]
Quasi-optimality of BDDC Methods for MITC Reissner-Mindlin Problems
C. Lovadina;
2013
Abstract
The goal of this paper is to improve a condition number bound proven in [5] for a Balancing Domain DecompositionMethod by Constraints (BDDC) for the Reissner- Mindlin plate bending problem discretized with MITC elements. This BDDC preconditioner is based on selecting the plate rotations and deflection degrees of freedom at the subdomain vertices as primal continuity constraints.
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