Reorthogonalization-based stiffness preconditioning in FETI algorithms with applications to variational inequalities

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F15%3A86096218" target="_blank" >RIV/61989100:27240/15:86096218 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27740/15:86096218

Výsledek na webu

<a href="http://onlinelibrary.wiley.com/doi/10.1002/nla.1994/abstract" target="_blank" >http://onlinelibrary.wiley.com/doi/10.1002/nla.1994/abstract</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/nla.1994" target="_blank" >10.1002/nla.1994</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Reorthogonalization-based stiffness preconditioning in FETI algorithms with applications to variational inequalities

Popis výsledku v původním jazyce

A cheap symmetric stiffness-based preconditioning of the Hessian of the dual problem arising from the application of the finite element tearing and interconnecting domain decomposition to the solution of variational inequalities with varying coefficientsis proposed. The preconditioning preserves the structure of the inequality constraints and affects both the linear and nonlinear steps, so that it can improve the rate of convergence of the algorithms that exploit the conjugate gradient steps or the gradient projection steps. The bounds on the regular condition number of the Hessian of the preconditioned problem, which are independent of the coefficients, are given. The related stiffness scaling is also considered and analysed. The improvement is demonstrated by numerical experiments including the solution of a contact problem with variationally consistent discretization of the non-penetration conditions. The results are relevant also for linear problems.

Název v anglickém jazyce

Reorthogonalization-based stiffness preconditioning in FETI algorithms with applications to variational inequalities

Popis výsledku anglicky

A cheap symmetric stiffness-based preconditioning of the Hessian of the dual problem arising from the application of the finite element tearing and interconnecting domain decomposition to the solution of variational inequalities with varying coefficientsis proposed. The preconditioning preserves the structure of the inequality constraints and affects both the linear and nonlinear steps, so that it can improve the rate of convergence of the algorithms that exploit the conjugate gradient steps or the gradient projection steps. The bounds on the regular condition number of the Hessian of the preconditioned problem, which are independent of the coefficients, are given. The related stiffness scaling is also considered and analysed. The improvement is demonstrated by numerical experiments including the solution of a contact problem with variationally consistent discretization of the non-penetration conditions. The results are relevant also for linear problems.

Druh

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

CEP obor

BA - Obecná matematika

OECD FORD obor

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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

2015

Kód důvěrnosti údajů

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

Název periodika

Numerical Linear Algebra with Applications

ISSN

1070-5325

e-ISSN

—

Svazek periodika

22

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

11

Strana od-do

987-998

Kód UT WoS článku

000368371500006

EID výsledku v databázi Scopus

2-s2.0-84955188201