Original Article: Adaptive BDDC in three dimensions

Authors:
Jan Mandel;BedřIch SousedíK;Jakub ŠíStek
Affiliations:
Department of Mathematical and Statistical Sciences, University of Colorado Denver, Denver, CO 80217-3364, USA;Department of Mathematical and Statistical Sciences, University of Colorado Denver, Denver, CO 80217-3364, USA and Institute of Thermomechanics, Academy of Sciences of the Czech Republic, Dolej ...;Institute of Mathematics, Academy of Sciences of the Czech Republic, itná 25, CZ-115 67 Prague 1, Czech Republic and Department of Mathematics, Faculty of Mechanical Engineering, Czech Techni ...
Venue:
Mathematics and Computers in Simulation
Year:
2012

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Abstract

Abstract: 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.