Adaptive BDDC in Three Dimensions

Mathematics – Numerical Analysis

Scientific paper

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28 pages, 9 figures, 9 tables

Scientific paper

10.1016/j.matcom.2011.03.014

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.

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