Iterative solution of singular systems with applications

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F14%3A00430877" target="_blank" >RIV/68145535:_____/14:00430877 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Iterative solution of singular systems with applications

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Iterative solution of singular systems with applications

Popis výsledku 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.

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: Centrum excelence IT4Innovations</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Parallel Processing and Applied Mathematics

ISBN

978-3-642-55223-6

ISSN

0302-9743

e-ISSN

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Počet stran výsledku

10

Strana od-do

114-123

Název nakladatele

Springer-Verlag

Místo vydání

Berlin, Heidelberg

Místo konání akce

Warsaw

Datum konání akce

8. 9. 2013

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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