Quasi-Newton preconditioners for the inexact Newton method.
Bergamaschi, L., Bru, R., Martínez, A., Putti, M. (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Bergamaschi, L., Bru, R., Martínez, A., Putti, M. (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Borges, Carlos F. (2009)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Yunhui He, Yu Li, Hehu Xie, Chun'guang You, Ning Zhang (2018)
Applications of Mathematics
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We propose a new type of multilevel method for solving eigenvalue problems based on Newton's method. With the proposed iteration method, solving an eigenvalue problem on the finest finite element space is replaced by solving a small scale eigenvalue problem in a coarse space and a sequence of augmented linear problems, derived by Newton step in the corresponding sequence of finite element spaces. This iteration scheme improves overall efficiency of the finite element method for solving...
Hwang, Feng-Nan, Lin, Hsin-Lun, Cai, Xiao-Chuan (2010)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Lukšan, Ladislav, Matonoha, Ctirad, Vlček, Jan
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New positive definite preconditioners for the matrix free truncated Newton method are given. Corresponding algorithms are described in detail. Results of numerical experiments that confirm the efficiency and robustness of the preconditioned truncated Newton method are reported.
J. Trojan (1980)
Applicationes Mathematicae
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Ali, Mouhamad Al Sayed, Sadkane, Miloud (2009)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Benner, Peter, Mena, Hermann, Saak, Jens (2007)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Pernice, Michael (2000)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Laszkiewicz, Beata, Ziȩtak, Krystyna (2008)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Di Benedetto, Fabio, Estatico, Claudio, Nagy, James G., Pastorino, Matteo (2008)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Foltyn, Ladislav, Vlach, Oldřich
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To solve the contact problems by using a semismooth Newton method, we shall linearize stiffness and mass matrices as well as contact conditions. The latter are prescribed by means of mortar formulation. In this paper we describe implementation details.