Adaptive BDDC in three dimensions

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https://www.sciencedirect.com/science/article/abs/pii/S0378475411000954#!

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https://doi.org/10.1016/j.matcom.2011.03.014
 http://hdl.handle.net/11603/23164

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UMBC Mathematics and Statistics Department

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https://orcid.org/0000-0002-8053-8956

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2011-04-21

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journal articles
preprints
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Mandel, Jan; Sousedík, Bedřich; Šístek, Jakub; Adaptive BDDC in three dimensions; Mathematics and Computers in Simulation, Volume 82, Issue 10, Pages 1812-1831, 21 April, 2011; https://doi.org/10.1016/j.matcom.2011.03.014

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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.