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Large-scale geosimulations using GEM and trilions
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SYSNO ASEP 0483048 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Large-scale geosimulations using GEM and trilions Author(s) Blaheta, Radim (UGN-S) RID, SAI, ORCID
Jakl, Ondřej (UGN-S) RID
Hrtus, Rostislav (UGN-S)
Kolcun, Alexej (UGN-S) RID
Kohut, Roman (UGN-S) RID
Starý, Jiří (UGN-S) RID
Turan, E. (CH)Number of authors 7 Source Title Supercomputing in science and engineering. - Ostrava : IT4Innovations National Supercomputing Center, 2017 / Pešatová K. ; Poláková B. ; Cawley J. - ISBN 978-80-248-4037-6 Pages s. 100-103 Number of pages 4 s. Publication form Online - E Action Supercomputing in science and engineering Event date 15.11.2017 - 16.11.2017 VEvent location Ostrava Country CZ - Czech Republic Event type EUR Language eng - English Country CZ - Czech Republic Keywords singular symmetric positive semidefinite problems ; special problems of geotechnics ; PCG method Subject RIV BA - General Mathematics OECD category Applied mathematics R&D Projects ED1.1.00/02.0070 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Institutional support UGN-S - RVO:68145535 Annotation The project deals with efficient solution of singular symmetric positive semidefinite problems. Our motivation arises from the
need to solve special problems of geotechnics, e.g. to perform upscaling analysis of geocomposites. In that and other applications we have to solve boundary problems with pure Neumann boundary conditions. We show that the stabilised PCG method with various preconditioners is a good choice for systems resulting from the numerical solution of Neumann problems, or more generally problems with a known small dimensional null space. The work was also taken as an opportunity to compare parallel implementations of the orresponding solvers, namely implementations in the in-house finite element software GEM and implementations employing components of the general Trilinos library. The studies show that the solvers based on GEM are highly competitive with its recognised counterpart.Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2019 Electronic address https://www.it4i.cz/wp-content/uploads/2017/04/Supercomputing-in-Science-and-Engineering-reduce-preview.pdf
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