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Stability and Convergence of Underintegrated Finite Element ApproximationsThe effects of underintegration on the numerical stability and convergence characteristics of certain classes of finite element approximations were analyzed. Particular attention is given to hourglassing instabilities that arise from underintegrating the stiffness matrix entries and checkerboard instabilities that arise from underintegrating constrain terms such as those arising from incompressibility conditions. A fundamental result reported here is the proof that the fully integrated stiffness is restored in some cases through a post-processing operation.
Document ID
19840023626
Document Type
Conference Paper
Authors
Oden, J. T. (Texas Univ. Austin, TX, United States)
Date Acquired
August 12, 2013
Publication Date
June 1, 1984
Publication Information
Publication: NASA. Lewis Research Center Nonlinear Struct. Anal.
Subject Category
STRUCTURAL MECHANICS
Funding Number(s)
CONTRACT_GRANT: NAG3-329
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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