A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F17%3A00482324" target="_blank" >RIV/68145535:_____/17:00482324 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.sciencedirect.com/science/article/pii/S0377042716302631?via%3Dihub" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0377042716302631?via%3Dihub</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cam.2016.05.029" target="_blank" >10.1016/j.cam.2016.05.029</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control

Popis výsledku v původním jazyce

In this article we construct an efficient preconditioner for solving the algebraic systems arising from discretized optimal control problems with time-periodic Stokes equations, based on a preconditioning technique for stationary Stokes-constrained optimal control problems, considered in an earlier paper by the authors. A simplified analysis of the derivation of the preconditioner and its properties is presented. The preconditioner is fully parameter-independent and the condition number of the corresponding preconditioned matrix is bounded by 2. The so-constructed preconditioner is favourably compared with another robust preconditioner for the same problem.

Název v anglickém jazyce

A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control

Popis výsledku anglicky

In this article we construct an efficient preconditioner for solving the algebraic systems arising from discretized optimal control problems with time-periodic Stokes equations, based on a preconditioning technique for stationary Stokes-constrained optimal control problems, considered in an earlier paper by the authors. A simplified analysis of the derivation of the preconditioner and its properties is presented. The preconditioner is fully parameter-independent and the condition number of the corresponding preconditioned matrix is bounded by 2. The so-constructed preconditioner is favourably compared with another robust preconditioner for the same problem.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

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

2017

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

—

Svazek periodika

310

Číslo periodika v rámci svazku

January 2017

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

14

Strana od-do

5-18

Kód UT WoS článku

000384780400002

EID výsledku v databázi Scopus

2-s2.0-84989818220