Quasi-Newton iterative solution approaches for nonsmooth elliptic operators with applications to elasto-plasticity

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F25%3A00602018" target="_blank" >RIV/68145535:_____/25:00602018 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.camwa.2024.11.022" target="_blank" >https://doi.org/10.1016/j.camwa.2024.11.022</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.camwa.2024.11.022" target="_blank" >10.1016/j.camwa.2024.11.022</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Quasi-Newton iterative solution approaches for nonsmooth elliptic operators with applications to elasto-plasticity

Popis výsledku v původním jazyce

This paper is devoted to the extension of a quasi-Newton/variable preconditioning (QNVP) method to non-smooth problems, motivated by elasto-plastic models. Two approaches are discussed: the first one is carried out via regularized approximations of the nonsmooth problem, and the second one gives an extension to nonsmooth operators in order to be applied directly. Convergence analysis is presented for both variants. Then these abstract methods are applied to elasto-plasticity where two different variants of QNVP are investigated and combined with the deflated conjugate gradient and aggregation-based algebraic multigrid methods. The convergence results are illustrated on numerical examples in 3D inspired by real-life problems, and they demonstrate that the suggested QNVP methods are competitive with the standard Newton method. Well-documented Matlab codes on elasto-plasticity are used and enriched by the suggested methods.

Název v anglickém jazyce

Quasi-Newton iterative solution approaches for nonsmooth elliptic operators with applications to elasto-plasticity

Popis výsledku anglicky

This paper is devoted to the extension of a quasi-Newton/variable preconditioning (QNVP) method to non-smooth problems, motivated by elasto-plastic models. Two approaches are discussed: the first one is carried out via regularized approximations of the nonsmooth problem, and the second one gives an extension to nonsmooth operators in order to be applied directly. Convergence analysis is presented for both variants. Then these abstract methods are applied to elasto-plasticity where two different variants of QNVP are investigated and combined with the deflated conjugate gradient and aggregation-based algebraic multigrid methods. The convergence results are illustrated on numerical examples in 3D inspired by real-life problems, and they demonstrate that the suggested QNVP methods are competitive with the standard Newton method. Well-documented Matlab codes on elasto-plasticity are used and enriched by the suggested methods.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Computers & Mathematics With Applications

ISSN

0898-1221

e-ISSN

1873-7668

Svazek periodika

178

Číslo periodika v rámci svazku

January 2025

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

20

Strana od-do

61-80

Kód UT WoS článku

001368979100001

EID výsledku v databázi Scopus

2-s2.0-85210065628