Original title: Large-scale geosimulations using GEM and trilions
Authors: Blaheta, Radim ; Jakl, Ondřej ; Hrtus, Rostislav ; Kolcun, Alexej ; Kohut, Roman ; Starý, Jiří ; Turan, E.
Document type: Papers
Conference/Event: Supercomputing in science and engineering, Ostrava (CZ), 20171115
Year: 2017
Language: eng
Abstract: The project deals with efficient solution of singular symmetric positive semidefinite problems. Our motivation arises from the \nneed 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.
Keywords: PCG method; singular symmetric positive semidefinite problems; special problems of geotechnics
Project no.: ED1.1.00/02.0070
Funding provider: GA MŠk
Host item entry: Supercomputing in science and engineering, ISBN 978-80-248-4037-6

Institution: Institute of Geonics AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: https://www.it4i.cz/wp-content/uploads/2017/04/Supercomputing-in-Science-and-Engineering-reduce-preview.pdf
Original record: http://hdl.handle.net/11104/0278473

Permalink: http://www.nusl.cz/ntk/nusl-370690


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