KSPHPDDM and PCHPDDM: Extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners
KAUST DepartmentExtreme Computing Research Center
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Embargo End Date2022-01-22
Permanent link to this recordhttp://hdl.handle.net/10754/667072
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AbstractContemporary 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.
CitationJolivet, P., Roman, J. E., & Zampini, S. (2021). KSPHPDDM and PCHPDDM: Extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners. Computers & Mathematics with Applications, 84, 277–295. doi:10.1016/j.camwa.2021.01.003
SponsorsThe authors would like to thank S. Balay, J. Brown, V. Hapla, M. Knepley, and B. Smith for reviewing the successive merge requests in PETSc repository and for their feedback on this manuscript. This work was granted access to the GENCI-sponsored HPC resources of:, • TGCC@CEA under allocation A0070607519;, • IDRIS@CNRS under allocation AP010611780. Jose E. Roman was supported by the Spanish Agencia Estatal de Investigación (AEI) under project SLEPc-DA (PID2019-107379RB-I00).