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. © 2013 Springer-Verlag Wien.
CITATION STYLE
Sousedík, B., Šístek, J., & Mandel, J. (2013). Adaptive-Multilevel BDDC and its parallel implementation. Computing, 95(12), 1087–1119. https://doi.org/10.1007/s00607-013-0293-5
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