Large-scale geosimulations using GEM and trilions

0483048 - ÚGN 2019 RIV CZ eng C - Conference Paper (international conference)
Blaheta, Radim - Jakl, Ondřej - Hrtus, Rostislav - Kolcun, Alexej - Kohut, Roman - Starý, Jiří - Turan, E.
Large-scale geosimulations using GEM and trilions.
Supercomputing in science and engineering. Ostrava: IT4Innovations National Supercomputing Center, 2017 - (Pešatová, K.; Poláková, B.; Cawley, J.), s. 100-103. ISBN 978-80-248-4037-6.
[Supercomputing in science and engineering. Ostrava (CZ), 15.11.2017-16.11.2017]
R&D Projects: GA MŠMT ED1.1.00/02.0070
Institutional support: RVO:68145535
Keywords : singular symmetric positive semidefinite problems * special problems of geotechnics * PCG method
OECD category: Applied mathematics
https://www.it4i.cz/wp-content/uploads/2017/04/Supercomputing-in-Science-and-Engineering-reduce-preview.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0278473