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Adaptive BDDC in three dimensions

Author

Listed:
  • Mandel, Jan
  • Sousedík, Bedřich
  • Šístek, Jakub

Abstract

The adaptive BDDC method is extended to the selection of face constraints in three dimensions. A new implementation of the BDDC method is presented based on a global formulation without an explicit coarse problem, with massive parallelism provided by a multifrontal solver. Constraints are implemented by a projection and sparsity of the projected operator is preserved by a generalized change of variables. The effectiveness of the method is illustrated on several engineering problems.

Suggested Citation

  • Mandel, Jan & Sousedík, Bedřich & Šístek, Jakub, 2012. "Adaptive BDDC in three dimensions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(10), pages 1812-1831.
    • Handle: RePEc:eee:matcom:v:82:y:2012:i:10:p:1812-1831
    DOI: 10.1016/j.matcom.2011.03.014
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    References listed on IDEAS

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    1. Šístek, Jakub & Novotný, Jaroslav & Mandel, Jan & Čertíková, Marta & Burda, Pavel, 2010. "BDDC by a frontal solver and the stress computation in a hip joint replacement," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(6), pages 1310-1323.
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