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The application of quasi-Newton methods in fluid mechanics (1981)

Engelman, M. S. ; Strang, G. ; Bathe, K.-J.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 17 (1981), S. 707-718

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ISSN: 0029-5981

Keywords: Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: The use of quasi-Newton methods is studied for the solution of the nonlinear finite element equations that arise in the analysis of incompressible fluid flow. An effective procedure for the use of Broyden's method in finite element analysis is presented. The quasi-Newton method is compared with the commonly employed successive substitution and Newton-Raphson procedures, and it is concluded that the use of Broyden's method can constitute an effective solution strategy.

Additional Material: 3 Ill.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/nme.1620170505

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