A new iteration and preconditioning method for elliptic PDE-constrained optimization problems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F20%3A00534435" target="_blank" >RIV/68145535:_____/20:00534435 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.global-sci.org/intro/article_detail/nmtma/16968.html" target="_blank" >http://www.global-sci.org/intro/article_detail/nmtma/16968.html</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4208/nmtma.OA-2020-0016" target="_blank" >10.4208/nmtma.OA-2020-0016</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A new iteration and preconditioning method for elliptic PDE-constrained optimization problems

Popis výsledku v původním jazyce

Optimal control problems constrained by a partial differential equation(PDE) arise in various important applications, such as in engineering and naturalsciences. Normally the problems are of very large scale, so iterative solution meth-ods must be used. Thereby the choice of an iteration method inconjunction withan efficient preconditioner is essential. In this paper, we consider a new iterationmethod and a new preconditioning technique for an elliptic PDE-constrained opti-mal control problem with a distributed control function. Some earlier used iterationmethods and preconditioners in the literature are compared, both analytically andnumerically with the new iteration method and the preconditioner.

Název v anglickém jazyce

A new iteration and preconditioning method for elliptic PDE-constrained optimization problems

Popis výsledku anglicky

Optimal control problems constrained by a partial differential equation(PDE) arise in various important applications, such as in engineering and naturalsciences. Normally the problems are of very large scale, so iterative solution meth-ods must be used. Thereby the choice of an iteration method inconjunction withan efficient preconditioner is essential. In this paper, we consider a new iterationmethod and a new preconditioning technique for an elliptic PDE-constrained opti-mal control problem with a distributed control function. Some earlier used iterationmethods and preconditioners in the literature are compared, both analytically andnumerically with the new iteration method and the preconditioner.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Numerical Mathematics

ISSN

1004-8979

e-ISSN

—

Svazek periodika

13

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

CN - Čínská lidová republika

Počet stran výsledku

25

Strana od-do

1098-1122

Kód UT WoS článku

000540556500013

EID výsledku v databázi Scopus

2-s2.0-85091463045