Adaptive-Multilevel BDDC and its parallel implementation
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Date
2013-12
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Citation of Original Publication
Sousedík, Bedřich, Jakub Šístek, and Jan Mandel. Adaptive-Multilevel BDDC and its parallel implementation. Computing 2013, no. 12.
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Abstract
We combine the adaptive and multilevel approaches to the BDDC
and formulate a method which allows an adaptive selection of constraints
on each decomposition level. We also present a strategy for the solution of local eigenvalue problems in the adaptive algorithm using the
LOBPCG method with a preconditioner based on standard components
of the BDDC. The effectiveness of the method is illustrated on several
engineering problems. It appears that the Adaptive-Multilevel BDDC
algorithm is able to effectively detect troublesome parts on each decomposition level and improve convergence of the method. The developed
open-source parallel implementation shows a good scalability as well as
applicability to very large problems and core counts.