Podrobnosti záznamu

Název
    Iterative solution of singular systems with applications
Autor
    Blaheta, Radim
    Jakl, Ondřej
    Starý, Jiří
Konference
    Parallel Processing and Applied Mathematics - International Conference PPAM 2013 (10. : 08.09.2013-11.09.2013 : Warsaw, Polsko)
Jazyk
    anglicky
Typ dokumentu
    konferenční příspěvek (zahraniční konference)
Zdrojový dokument - monografie
    Parallel Processing and Applied Mathematics
Strany
    S. 114-123
Poznámky
    Autoři celkem: 3
    Projekt: ED1.1.00/02.0070, GA MŠk3cav_un_auth*0285288
    Rozsah: 10 s. : P
Předmětová kategorie
    GEM software
    singular system
    stabilized preconditioned conjugate gradient method
    symmetric positive semidefinite problem
Klíčové slovo
    Applications
    Iterative
    Singular
    Solution
    Systems
Abstrakt (anglicky)
   This paper deals with e cient solution of singular symmetric positive semidenite 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 stabilized 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. We make use of this scenario to compare parallel implementations of the corresponding solvers, namely implementations in the in-house nite element software GEM and implementations employing components of the general Trilinos framework. The studies show that the solvers based on GEM are highly competitive with its recognized counterpart.
Přispěvatel
    AV ČR Brno, Ústav geoniky
Kód přispěvatele
    AV ČR, ÚG
Zdrojový formát
    U
Datum importu
    24. 10. 2014