| Article ID: | iaor20124570 |
| Volume: | 82 |
| Issue: | 10 |
| Start Page Number: | 1812 |
| End Page Number: | 1831 |
| Publication Date: | Jun 2012 |
| Journal: | Mathematics and Computers in Simulation |
| Authors: | Mandel Jan, Sousedk Bedrich, stek Jakub |
| Keywords: | numerical analysis |
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.