Continuation Newton methods

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F15%3A00452243" target="_blank" >RIV/68145535:_____/15:00452243 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.sciencedirect.com/science/article/pii/S0898122115003818" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0898122115003818</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.camwa.2015.07.024" target="_blank" >10.1016/j.camwa.2015.07.024</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Continuation Newton methods

Popis výsledku v původním jazyce

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 methodcan 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 r

Název v anglickém jazyce

Continuation Newton methods

Popis výsledku anglicky

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 methodcan 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 r

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

IN - Informatika

OECD FORD obor

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Projekt

<a href="/cs/project/GA13-18652S" target="_blank" >GA13-18652S: Numerické modelování poškození a transportních procesů v kvazikřehkých materiálech</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Computers & Mathematics With Applications

ISSN

0898-1221

e-ISSN

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Svazek periodika

70

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

17

Strana od-do

2621-2637

Kód UT WoS článku

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EID výsledku v databázi Scopus

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