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The application of quasi‐Newton methods in fluid mechanics
Author(s) -
Engelman M. S.,
Strang G.,
Bathe K.J.
Publication year - 1981
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620170505
Subject(s) - newton's method , finite element method , nonlinear system , mathematics , compressibility , quasi newton method , mixed finite element method , incompressible flow , flow (mathematics) , pressure correction method , calculus (dental) , mathematical analysis , mechanics , physics , geometry , thermodynamics , medicine , dentistry , quantum mechanics
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.