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The application of quasi-Newton methods in fluid mechanics

✍ Scribed by M. S. Engelman; G. Strang; K.-J. Bathe

Publisher
John Wiley and Sons
Year
1981
Tongue
English
Weight
824 KB
Volume
17
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

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.

πŸ“œ SIMILAR VOLUMES

Direct minimization in mc scf theory. th
Direct minimization in mc scf theory. the quasi-newton method
✍ Richard H.A. Eade; Michael A. Robb πŸ“‚ Article πŸ“… 1981 πŸ› Elsevier Science 🌐 English βš– 532 KB

The efficiency of the use of a diagonal approximation to the hessian matrix coupled with a quasi-Newton updating method in MC SCF calculations is examined. In general, satisfactory convergence is obtained provided the CI expansion corresponds to a full valence shell CL