KSPHPDDM and PCHPDDM: Extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners

Pierre Jolivet, Jose E. Roman, Stefano Zampini

Research output: Contribution to journalArticlepeer-review

Abstract

Contemporary applications in computational science and engineering often require the solution of linear systems which may be of different sizes, shapes, and structures. The goal of this paper is to explain how two libraries, PETSc and HPDDM, have been interfaced in order to offer end-users robust overlapping Schwarz preconditioners and advanced Krylov methods featuring recycling and the ability to deal with multiple right-hand sides. The flexibility of the implementation is showcased and explained with minimalist, easy-to-run, and reproducible examples, to ease the integration of these algorithms into more advanced frameworks. The examples provided cover applications from eigenanalysis, elasticity, combustion, and electromagnetism.
Original languageEnglish (US)
Pages (from-to)277-295
Number of pages19
JournalComputers and Mathematics with Applications
Volume84
DOIs
StatePublished - Jan 22 2021

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