A Comparison of Preconditioning Methods for Saddle Point Problems with an Application to Porous Media Flow Problems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F16%3A00468161" target="_blank" >RIV/68145535:_____/16:00468161 - isvavai.cz</a>

Výsledek na webu

<a href="http://link.springer.com/chapter/10.1007%2F978-3-319-40361-8_5" target="_blank" >http://link.springer.com/chapter/10.1007%2F978-3-319-40361-8_5</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-319-40361-8_5" target="_blank" >10.1007/978-3-319-40361-8_5</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A Comparison of Preconditioning Methods for Saddle Point Problems with an Application to Porous Media Flow Problems

Popis výsledku v původním jazyce

The paper overviews and compares some block preconditioners for the solution of saddle point systems, especially systems arising from the Brinkman model of porous media flow. The considered preconditioners involve different Schur complements as inverse free Schur complement in HSS (Hermitian - Skew Hermitian Splitting preconditioner), Schur complement to the velocity matrix and finally Schur complement to a regularization block in the augmented matrix preconditioner. The inverses appearing in most of the considered Schur complements are approximated by simple sparse approximation techniques as element-by-element and Frobenius norm minimization approaches. A special interest is devoted to problems involving various Darcy, Stokes and Brinkman flow regions, the efficiency of preconditioners in this case is demonstrated by some numerical experiments.

Název v anglickém jazyce

A Comparison of Preconditioning Methods for Saddle Point Problems with an Application to Porous Media Flow Problems

Popis výsledku anglicky

The paper overviews and compares some block preconditioners for the solution of saddle point systems, especially systems arising from the Brinkman model of porous media flow. The considered preconditioners involve different Schur complements as inverse free Schur complement in HSS (Hermitian - Skew Hermitian Splitting preconditioner), Schur complement to the velocity matrix and finally Schur complement to a regularization block in the augmented matrix preconditioner. The inverses appearing in most of the considered Schur complements are approximated by simple sparse approximation techniques as element-by-element and Frobenius norm minimization approaches. A special interest is devoted to problems involving various Darcy, Stokes and Brinkman flow regions, the efficiency of preconditioners in this case is demonstrated by some numerical experiments.

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

2016

Kód důvěrnosti údajů

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

Název statě ve sborníku

High performance computing in science and engineering - HPCSE 2015

ISBN

978-3-319-40361-8

ISSN

0302-9743

e-ISSN

—

Počet stran výsledku

17

Strana od-do

68-84

Název nakladatele

Springer

Místo vydání

Švýcarsko

Místo konání akce

Soláň

Datum konání akce

25. 5. 2015

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

000386324600005