Continuation Newton methods
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Continuation Newton methods
Original language description
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
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
IN - Informatics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA13-18652S" target="_blank" >GA13-18652S: Computational modeling of damage and transport processes in quasi-brittle materials</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computers & Mathematics With Applications
ISSN
0898-1221
e-ISSN
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Volume of the periodical
70
Issue of the periodical within the volume
11
Country of publishing house
GB - UNITED KINGDOM
Number of pages
17
Pages from-to
2621-2637
UT code for WoS article
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EID of the result in the Scopus database
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