Počet záznamů: 1  

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

  1. 1.
    0379742 - ÚGN 2013 RIV NL eng J - Článek v odborném periodiku
    Sysala, Stanislav
    Application of a modified semismooth Newton method to some elasto-plastic problems.
    Mathematics and Computers in Simulation. Roč. 82, č. 10 (2012), s. 2004-2021. ISSN 0378-4754. E-ISSN 1872-7166
    Grant CEP: GA ČR GA105/09/1830
    Institucionální podpora: RVO:68145535
    Klíčová slova: elasto-plasticity * hardening * Incremental finite element method * Semismooth Newton method * damping
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.836, rok: 2012
    http://www.sciencedirect.com/science/article/pii/S0378475412001292

    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 convergence is 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 inexact inner solvers is also discussed. The method is illustrated on a numerical example.
    Trvalý link: http://hdl.handle.net/11104/0210627

     
    Název souboruStaženoVelikostKomentářVerzePřístup
    Sysala_IMACS.pdf52.2 MBAutorský postprintvyžádat
     
Počet záznamů: 1  

  Tyto stránky využívají soubory cookies, které usnadňují jejich prohlížení. Další informace o tom jak používáme cookies.