On the Newton-Lanczos approach for solving nonlinear finite element problems

 
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Journal part (EN)
Scientific article (EN)
1992 (EN)
On the Newton-Lanczos approach for solving nonlinear finite element problems (EN)
Kalathas, NC (EN)
Papadrakakis, M (EN)
This paper investigates the potential of the Lanczos method when applied as a linear equation solver in path-following solution strategies. Three different approaches have been considered and compared. The first is the minimum storage version which solves a new linearized problem in each external nonlinear iteration. The second version keeps the tridiagonal and the orthonormal basis in fast or secondary storage for obtaining initial estimates for the subsequent linearized solutions. The third version operates simultaneously on more than one load increments and proceeds to linearized solutions with more than one right-hand side. The use of preconditioning, truncation and line search acceleration have also been employed and evaluated. © 1992. (EN)
journalArticle (EN)
Minimum storage version (EN)
Computer Science, Interdisciplinary Applications (EN)
Nonlinear equations (EN)
Path following solution strategy (EN)
Engineering, Civil (EN)
Finite Element (EN)
Iterative methods (EN)
Linearized solution (EN)
Mathematical techniques (EN)
Lanczos method (EN)
Linearization (EN)
National Technical University of Athens
Digital Library of National Technical University of Athens | Dspace@NTUA
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
Ιδρυματικό Αποθετήριο
Δημοσιεύσεις μελών Δ.Ε.Π. σε περιοδικά
Computers and Structures (EN)
English
1992 (EN)
http://hdl.handle.net/123456789/10769
44 (EN)
397 (EN)
389 (EN)
0045-7949 (EN)
1-2 (EN)
ISI:A1992JH52400045 (EN)
10.1016/0045-7949(92)90259-3 (EN)
PERGAMON-ELSEVIER SCIENCE LTD (EN)



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