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Stability, accuracy, and efficiency of some underintegrated methods in finite element computationsIn an attempt to increase computational efficiency in the numerical solution of highly nonlinear problems in solid and fluid mechanics, underintegrated finite element methods have been employed by many analysts. Underintegration refers to the use of a rule of an order lower than that required to integrate polynomial integrands exactly. The main drawback of this technique is related to the production of rank-deficient stiffness matrices, or equivalently an expanded kernel of the governing linear momentum operators. Such a development can introduce numerical instabilities. In order to overcome this difficulty, artificial stiffness or viscosity methods, or other stabilization methods have been proposed. One approach involves the elimination of spurious modes in a postprocessing operation. The present study is concerned with this a posteriori elimination method, taking into account the results which can be expected from it, and some of its possible extensions.
Document ID
19850067922
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Jacquotte, O.-P.
(Texas, University Austin, United States)
Date Acquired
August 12, 2013
Publication Date
August 1, 1985
Publication Information
Publication: Computer Methods in Applied Mechanics and Engineering
Volume: 50
ISSN: 0045-7825
Subject Category
Numerical Analysis
Accession Number
85A50073
Funding Number(s)
CONTRACT_GRANT: NAG3-329
Distribution Limits
Public
Copyright
Other

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