Adaptive BDDC in Three Dimensions

Jan Mandel, Bedřich Sousedík, Jakub Šístek

Published 2009-10-30, updated 2011-02-28Version 2

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.