PCBDDC: A Class of Robust Dual-Primal Methods in PETSc

Stefano Zampini

Research output: Contribution to journalArticlepeer-review

59 Scopus citations


A class of preconditioners based on balancing domain decomposition by constraints methods is introduced in the Portable, Extensible Toolkit for Scientific Computation (PETSc). The algorithm and the underlying nonoverlapping domain decomposition framework are described with a specific focus on their current implementation in the library. Available user customizations are also presented, together with an experimental interface to the finite element tearing and interconnecting dual-primal methods within PETSc. Large-scale parallel numerical results are provided for the latest version of the code, which is able to tackle symmetric positive definite problems with highly heterogeneous distributions of the coefficients. Current limitations and future extensions of the preconditioner class are also discussed.
Original languageEnglish (US)
Pages (from-to)S282-S306
Number of pages1
JournalSIAM Journal on Scientific Computing
Issue number5
StatePublished - Oct 27 2016


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