On the parameter in augmented Lagrangian preconditioning for isogeometric discretizations of the NSE

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F21%3A43962479" target="_blank" >RIV/49777513:23520/21:43962479 - isvavai.cz</a>

Výsledek na webu

<a href="http://ugn.cas.cz/event/2021/sna/files/sna21-sbornik.pdf" target="_blank" >http://ugn.cas.cz/event/2021/sna/files/sna21-sbornik.pdf</a>

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

On the parameter in augmented Lagrangian preconditioning for isogeometric discretizations of the NSE

Popis výsledku v původním jazyce

We deal with efficient numerical solution of the incompressible Navier-Stokes equations (NSE) discretized using isogeometric analysis (IgA) approach. IgA exploits the isoparametric approach, i.e., the same basis functions are used for description of the computational domain geometry and also for representation of the solution. The IgA discretization basis has several speciffic properties different from standard finite element basis, most importantly a higher interelement continuity leading to denser matrices of the resulting linear systems. Our aim is to develop efficient solvers for these systems based on preconditioned Krylov subspace methods. Based on our comparison of several state-of-the-art block preconditioners for linear systems arising from the IgA discretization of the incompressible NSE, the augmented Lagrangian (AL) preconditioner and its modiffed version (MAL) seems to be very promising. However, their effectiveness is strongly parameter dependent. In this contribution, we focus on the optimal setting of these preconditioners for different IgA discretizations.

Název v anglickém jazyce

On the parameter in augmented Lagrangian preconditioning for isogeometric discretizations of the NSE

Popis výsledku anglicky

We deal with efficient numerical solution of the incompressible Navier-Stokes equations (NSE) discretized using isogeometric analysis (IgA) approach. IgA exploits the isoparametric approach, i.e., the same basis functions are used for description of the computational domain geometry and also for representation of the solution. The IgA discretization basis has several speciffic properties different from standard finite element basis, most importantly a higher interelement continuity leading to denser matrices of the resulting linear systems. Our aim is to develop efficient solvers for these systems based on preconditioned Krylov subspace methods. Based on our comparison of several state-of-the-art block preconditioners for linear systems arising from the IgA discretization of the incompressible NSE, the augmented Lagrangian (AL) preconditioner and its modiffed version (MAL) seems to be very promising. However, their effectiveness is strongly parameter dependent. In this contribution, we focus on the optimal setting of these preconditioners for different IgA discretizations.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA19-04006S" target="_blank" >GA19-04006S: Moderní geometricko-numerické metody v simulaci nestlačitelného turbulentního proudění pro reálné úlohy velkého rozsahu</a><br>

Návaznosti

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

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název statě ve sborníku

Seminar on Numerical Analysis

ISBN

978-80-86407-82-1

ISSN

—

e-ISSN

—

Počet stran výsledku

4

Strana od-do

17-20

Název nakladatele

Institute of Geonics of the Czech Academy of Sciences

Místo vydání

Ostrava

Místo konání akce

Ostrava

Datum konání akce

25. 1. 2021

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

—