Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F15%3A00438526" target="_blank" >RIV/68145535:_____/15:00438526 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.sciencedirect.com/science/article/pii/S0377042714005238" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0377042714005238</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cam.2014.11.044" target="_blank" >10.1016/j.cam.2014.11.044</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems

Popis výsledku v původním jazyce

Saddle point problems arise in the modeling of many important practical situations. Preconditioners for the corresponding matrices of block-triangular form, based on coupled inner?outer iteration methods, are analyzed and applied to a Darcy flow problem,possibly with strong heterogeneity and non-symmetric saddle point systems. Using proper regularized forms of the given matrix and its preconditioner, it is shown that the eigenvalues cluster about one or two points on the real axis for large values of the regularization parameters and that eigenvalue bounds do not depend on this variation. Therefore, just two outer iterations can suffice. On the other hand, several iterations may be needed to solve the inner iteration systems.

Název v anglickém jazyce

Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems

Popis výsledku anglicky

Saddle point problems arise in the modeling of many important practical situations. Preconditioners for the corresponding matrices of block-triangular form, based on coupled inner?outer iteration methods, are analyzed and applied to a Darcy flow problem,possibly with strong heterogeneity and non-symmetric saddle point systems. Using proper regularized forms of the given matrix and its preconditioner, it is shown that the eigenvalues cluster about one or two points on the real axis for large values of the regularization parameters and that eigenvalue bounds do not depend on this variation. Therefore, just two outer iterations can suffice. On the other hand, several iterations may be needed to solve the inner iteration systems.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

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

2015

Kód důvěrnosti údajů

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

Název periodika

Journal of Computational and Applied Mathematics

ISSN

0377-0427

e-ISSN

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Svazek periodika

280

Číslo periodika v rámci svazku

280

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

17

Strana od-do

141-157

Kód UT WoS článku

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EID výsledku v databázi Scopus

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