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Continuation Newton methods
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SYSNO ASEP 0452243 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Continuation Newton methods Author(s) Axelsson, Owe (UGN-S) RID
Sysala, Stanislav (UGN-S) RID, ORCIDNumber of authors 2 Source Title Computers & Mathematics With Applications. - : Elsevier - ISSN 0898-1221
Roč. 70, č. 11 (2015), s. 2621-2637Number of pages 17 s. Publication form Online - E Language eng - English Country GB - United Kingdom Keywords system of nonlinear equations ; Newton method ; load increment method ; elastoplasticity Subject RIV IN - Informatics, Computer Science R&D Projects GA13-18652S GA ČR - Czech Science Foundation (CSF) Institutional support UGN-S - RVO:68145535 UT WOS 000367484500002 EID SCOPUS 2-s2.0-84947865375 DOI 10.1016/j.camwa.2015.07.024 Annotation Severely nonlinear problems can only be solved by some homotopy continuation method. An example of a homotopy method is the continuous Newton method which, however, must be discretized which leads to the damped step version of Newton’s method. The standard Newton iteration method for solving systems of nonlinear equations View the MathML sourceF(u)= 0 must be modified in order to get global convergence, i.e. convergence from any initial point. The control of steplengths in the damped step Newton method can lead to many small steps and slow convergence. Furthermore, the applicability of the method is restricted in as much as it assumes a nonsingular and everywhere differentiable mapping View the MathML sourceF. Classical continuation methods are surveyed. Then a new method in the form of a coupled Newton and load increment method is presented and shown to have a global convergence already from the start and second order of accuracy with respect to the load increment step and with less restrictive regularity assumptions than for the standard Newton method. The method is applied for an elastoplastic problem with hardening. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2016 Electronic address http://www.sciencedirect.com/science/article/pii/S0898122115003818
Number of the records: 1