Adaptive BDDC in three dimensions





Citation of Original Publication

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;


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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.