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- W2000992609 abstract "High-order iterative algorithms have been proposed recently (Commun. Numer. Methods Eng. 15 (1999) 701; Comput. Methods Appl. Mech. Eng. 190 (2000) 1845-1858). This technique relies on a homotopy transformation and on calculations of series and of Pade approximants. So one can define a high-order Newton algorithm that is efficient, robust and that often converges after a single iteration. Other algorithms denoted as L algorithms do not require any triangulation of a large matrix, but they are not as efficient as the previous one. In this paper, a reduced basis technique is used to improve the latter method, that is a sort of Newton method on the reduced subspace and a sort of L algorithm on the whole space. This new method is evaluated in the finite element analysis of thin shell buckling. So new efficient predictor-correctors are introduced that do not require any matrix triangulation in the correction phase." @default.
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- W2000992609 date "2004-12-01" @default.
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- W2000992609 title "Projection techniques to improve high-order iterative correctors" @default.
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- W2000992609 doi "https://doi.org/10.1016/j.finel.2004.04.006" @default.
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