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Iterative methods for mixed finite element equationsIterative strategies for the solution of indefinite system of equations arising from the mixed finite element method are investigated in this paper with application to linear and nonlinear problems in solid and structural mechanics. The augmented Hu-Washizu form is derived, which is then utilized to construct a family of iterative algorithms using the displacement method as the preconditioner. Two types of iterative algorithms are implemented. Those are: constant metric iterations which does not involve the update of preconditioner; variable metric iterations, in which the inverse of the preconditioning matrix is updated. A series of numerical experiments is conducted to evaluate the numerical performance with application to linear and nonlinear model problems.
Document ID
19860049723
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Nakazawa, S.
(MARC Analysis Research Corp. Palo Alto, CA, United States)
Nagtegaal, J. C.
(MARC Analysis Research Corp. Palo Alto, CA, United States)
Zienkiewicz, O. C.
(Swansea, University College, United Kingdom)
Date Acquired
August 12, 2013
Publication Date
January 1, 1985
Subject Category
Structural Mechanics
Accession Number
86A34461
Funding Number(s)
CONTRACT_GRANT: NAS3-23697
Distribution Limits
Public
Copyright
Other

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