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Slant Newton method for elastoplastic problems with linear hardening and its local super‐linear convergence
Author(s) -
Gruber Peter G.,
Valdman Jan
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700619
Subject(s) - convergence (economics) , nonlinear system , hardening (computing) , rate of convergence , mathematics , newton's method , task (project management) , mathematical optimization , local convergence , computer science , iterative method , economics , materials science , physics , computer network , channel (broadcasting) , layer (electronics) , quantum mechanics , composite material , economic growth , management
Elastoplastic problems frequently arise in the science of structural mechanics. Such problems are nonlinear and time dependent, but if one assumes an already discrete model with respect to time, the task is to efficiently solve a one time step problem. In this article we present a solution algorithm for a one time step problem and discuss its super‐linear convergence rate. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)