Počet záznamů: 1
Large-scale geosimulations using GEM and trilions
0483048 - UGN-S 2019 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
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
Klíčová slova: singular symmetric positive semidefinite problems * special problems of geotechnics * PCG method
Obor OECD: Applied mathematics
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 corresponding 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.
Trvalý link: http://hdl.handle.net/11104/0278473