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Continuation Newton methods
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SYSNO ASEP 0452243 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Continuation Newton methods Tvůrce(i) Axelsson, Owe (UGN-S) RID
Sysala, Stanislav (UGN-S) RID, ORCIDCelkový počet autorů 2 Zdroj.dok. Computers & Mathematics With Applications. - : Elsevier - ISSN 0898-1221
Roč. 70, č. 11 (2015), s. 2621-2637Poč.str. 17 s. Forma vydání Online - E Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova system of nonlinear equations ; Newton method ; load increment method ; elastoplasticity Vědní obor RIV IN - Informatika CEP GA13-18652S GA ČR - Grantová agentura ČR Institucionální podpora UGN-S - RVO:68145535 UT WOS 000367484500002 EID SCOPUS 2-s2.0-84947865375 DOI 10.1016/j.camwa.2015.07.024 Anotace 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. Pracoviště Ústav geoniky Kontakt Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Rok sběru 2016 Elektronická adresa http://www.sciencedirect.com/science/article/pii/S0898122115003818
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