Adaptive-Multilevel BDDC and its parallel implementation

Date

2013-12

Department

Program

Citation of Original Publication

Sousedík, Bedřich, Jakub Šístek, and Jan Mandel. Adaptive-Multilevel BDDC and its parallel implementation. Computing 2013, no. 12.

Rights

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Subjects

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.