Preconditioning methods for eddy current optimally controlled time-harmonic electromagnetic problems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F19%3A00495498" target="_blank" >RIV/68145535:_____/19:00495498 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27240/19:10243570

Výsledek na webu

<a href="https://www.degruyter.com/view/j/jnma.2019.27.issue-1/jnma-2017-0064/jnma-2017-0064.xml?format=INT" target="_blank" >https://www.degruyter.com/view/j/jnma.2019.27.issue-1/jnma-2017-0064/jnma-2017-0064.xml?format=INT</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/jnma-2017-0064" target="_blank" >10.1515/jnma-2017-0064</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Preconditioning methods for eddy current optimally controlled time-harmonic electromagnetic problems

Popis výsledku v původním jazyce

Time-harmonic problems arise in many important applications, such as eddy current optimally controlled electromagnetic problems. Eddy cur-nrent modelling can also be used in non-destructive testings of conducting materials. Using a truncated Fourier series to approximate the solution, for linear problems the equation for different frequencies separate, so it suffices to study solution methods for the problem for a single frequency. The arising discretized system takes a two-by-two or four-by-four block matrix form. Since the problems are in general three-dimensional in space and hence of very large scale, one must use an iterative solution method. It is then crucial to construct efficient preconditioners. It is shown that an earlier used preconditioner for optimal control problems is applicable here also and leads to very tight eigenvalue bounds and hence very fast convergence such as for a Krylov subspace iterative solution method. A comparison is done with an earlier used block diagonal preconditioner.

Název v anglickém jazyce

Preconditioning methods for eddy current optimally controlled time-harmonic electromagnetic problems

Popis výsledku anglicky

Time-harmonic problems arise in many important applications, such as eddy current optimally controlled electromagnetic problems. Eddy cur-nrent modelling can also be used in non-destructive testings of conducting materials. Using a truncated Fourier series to approximate the solution, for linear problems the equation for different frequencies separate, so it suffices to study solution methods for the problem for a single frequency. The arising discretized system takes a two-by-two or four-by-four block matrix form. Since the problems are in general three-dimensional in space and hence of very large scale, one must use an iterative solution method. It is then crucial to construct efficient preconditioners. It is shown that an earlier used preconditioner for optimal control problems is applicable here also and leads to very tight eigenvalue bounds and hence very fast convergence such as for a Krylov subspace iterative solution method. A comparison is done with an earlier used block diagonal preconditioner.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

Journal of Numerical Mathematics

ISSN

1570-2820

e-ISSN

—

Svazek periodika

27

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

27

Strana od-do

1-21

Kód UT WoS článku

000460431500001

EID výsledku v databázi Scopus

2-s2.0-85041384996