Robust BDDC Preconditioners for Reissner-Mindlin Plate Bending Problems and MITC Elements

@article{Veiga2010RobustBP,
  title={Robust BDDC Preconditioners for Reissner-Mindlin Plate Bending Problems and MITC Elements},
  author={Lourenço Beir{\~a}o da Veiga and C. Chinosi and Carlo Lovadina and Luca F. Pavarino},
  journal={SIAM J. Numerical Analysis},
  year={2010},
  volume={47},
  pages={4214-4238}
}
A Balancing Domain Decomposition Method by Constraints (BDDC) is constructed and analyzed for the Reissner-Mindlin plate bending problem discretized with MITC finite elements. This BDDC algorithm is based on selecting the plate rotations and deflection degrees of freedom at the subdomain vertices as primal continuity constraints. After the implicit elimination of the interior degrees of freedom in each subdomain, the resulting plate Schur complement is solved by the preconditioned conjugate… CONTINUE READING
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