Quasi-Newton iterative solution approaches for nonsmooth elliptic operators with applications to elasto-plasticity
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Quasi-Newton iterative solution approaches for nonsmooth elliptic operators with applications to elasto-plasticity
Original language description
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.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computers & Mathematics With Applications
ISSN
0898-1221
e-ISSN
1873-7668
Volume of the periodical
178
Issue of the periodical within the volume
January 2025
Country of publishing house
GB - UNITED KINGDOM
Number of pages
20
Pages from-to
61-80
UT code for WoS article
001368979100001
EID of the result in the Scopus database
2-s2.0-85210065628