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

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Abstract

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
Volume38
Issue number5
DOIs
StatePublished - Oct 27 2016

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The author wishes to thank the KAUST Supercomputing Laboratory and Cray Inc. for early access to Shaheen and the Swiss National Supercomputing Centre (CSCS), in particular its director Thomas Schultess, for access to the Cray XC40 PizDora. The author is also grateful to Prof. O. B. Widlund, Prof. D. Keyes, and two anonymous referees for valuable comments and suggestions which helped improve the manuscript.

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