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.
@article{arxiv.0910.5863,
title = {Adaptive BDDC in Three Dimensions},
author = {Jan Mandel and Bedřich Sousedík and Jakub Šístek},
journal= {arXiv preprint arXiv:0910.5863},
year = {2013}
}