Application of a modified semismooth Newton method to some elasto-plastic problems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F12%3A00379742" target="_blank" >RIV/68145535:_____/12:00379742 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.sciencedirect.com/science/article/pii/S0378475412001292" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0378475412001292</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.matcom.2012.03.012" target="_blank" >10.1016/j.matcom.2012.03.012</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Application of a modified semismooth Newton method to some elasto-plastic problems

Popis výsledku v původním jazyce

Some elasto-plasticity models with hardening are discussed and some incremental finite element methods with different time discretisation schemes are considered. The corresponding one-time-step problems lead to variational equations with various non-linear operators. Common properties of the non-linear operators are derived and consequently a general problem is formulated. The problem can be solved by Newton-like methods. First, the semismooth Newton method is analysed. The local superlinear convergenceis proved in dependence on the finite element discretisation parameter. Then it is introduced a modified semismooth Newton method which contain suitable ?damping in each Newton iteration in addition. The determination of the damping coefficients uses the fact that the investigated problem can be formulated as a minimisation one. The method is globally convergent, independently on the discretisation parameter. Moreover the local superlinear convergence also holds. The influence of inexac

Název v anglickém jazyce

Application of a modified semismooth Newton method to some elasto-plastic problems

Popis výsledku anglicky

Some elasto-plasticity models with hardening are discussed and some incremental finite element methods with different time discretisation schemes are considered. The corresponding one-time-step problems lead to variational equations with various non-linear operators. Common properties of the non-linear operators are derived and consequently a general problem is formulated. The problem can be solved by Newton-like methods. First, the semismooth Newton method is analysed. The local superlinear convergenceis proved in dependence on the finite element discretisation parameter. Then it is introduced a modified semismooth Newton method which contain suitable ?damping in each Newton iteration in addition. The determination of the damping coefficients uses the fact that the investigated problem can be formulated as a minimisation one. The method is globally convergent, independently on the discretisation parameter. Moreover the local superlinear convergence also holds. The influence of inexac

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

<a href="/cs/project/GA105%2F09%2F1830" target="_blank" >GA105/09/1830: Víceúrovňové modelování a rentgenová tomografie v geotechnice</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název periodika

Mathematics and Computers in Simulation

ISSN

0378-4754

e-ISSN

—

Svazek periodika

82

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

18

Strana od-do

2004-2021

Kód UT WoS článku

000308519900021

EID výsledku v databázi Scopus

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