Preconditioners for Some Matrices of Two-by-Two Block Form, with Applications, I

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F13%3A00397048" target="_blank" >RIV/68145535:_____/13:00397048 - isvavai.cz</a>

Výsledek na webu

<a href="http://link.springer.com/chapter/10.1007/978-1-4614-7172-1_3" target="_blank" >http://link.springer.com/chapter/10.1007/978-1-4614-7172-1_3</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-1-4614-7172-1_3" target="_blank" >10.1007/978-1-4614-7172-1_3</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Preconditioners for Some Matrices of Two-by-Two Block Form, with Applications, I

Popis výsledku v původním jazyce

Matrices of two-by-two block form with matrix blocks of equal order arise in various important applications, such as when solving complex-valued systems in real arithmetics, in linearized forms of the Cahn?Hilliard diffusive phase-field differential equation model and in constrained partial differential equations with distributed control. It is shown how an efficient preconditioner can be constructed which, under certain conditions, has a resulting spectral condition number of about 2. The preconditioner avoids the use of Schur complement matrices and needs only solutions with matrices that are linear combinations of the matrices appearing in each block row of the given matrix and for which often efficient preconditioners are already available.

Název v anglickém jazyce

Preconditioners for Some Matrices of Two-by-Two Block Form, with Applications, I

Popis výsledku anglicky

Matrices of two-by-two block form with matrix blocks of equal order arise in various important applications, such as when solving complex-valued systems in real arithmetics, in linearized forms of the Cahn?Hilliard diffusive phase-field differential equation model and in constrained partial differential equations with distributed control. It is shown how an efficient preconditioner can be constructed which, under certain conditions, has a resulting spectral condition number of about 2. The preconditioner avoids the use of Schur complement matrices and needs only solutions with matrices that are linear combinations of the matrices appearing in each block row of the given matrix and for which often efficient preconditioners are already available.

Druh

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

CEP obor

BA - Obecná matematika

OECD FORD obor

—

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

2013

Kód důvěrnosti údajů

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

Název periodika

Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications

ISSN

2194-1009

e-ISSN

—

Svazek periodika

45

Číslo periodika v rámci svazku

45

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

23

Strana od-do

45-67

Kód UT WoS článku

—

EID výsledku v databázi Scopus

—