A review of higher order Newton type methods and the effect of numerical damping for the solution of an advanced coupled Lemaitre damage model

In this paper, several Newton-type methods of convergence order 2 or higher were tested on various nonlinear systems of equations and on an advanced material law implemented in a finite-element code. The computational speed, numerical efficiency, and robustness of each method were evaluated for each...

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Bibliographic Details

Published in:	Finite elements in analysis and design Vol. 209; p. 103801
Main Authors:	Morch, Hélène, Yuan, Sibo, Duchêne, Laurent, Harzallah, Ridha, Habraken, Anne Marie
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 15.10.2022 Elsevier BV
Subjects:	Analysis Applied Mathematics Computer Graphics and Computer-Aided Design Engineering, computing & technology Finite-element model General Engineering Ingénierie, informatique & technologie Newton method Nonlinear equations Numerical methods Nonlinear equations Newton method Numerical methods Finite-element model
ISSN:	0168-874X, 1872-6925, 1872-6925
Online Access:	Get full text
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