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A reduced constraint $hp$ finite element method for shell problems

Author: Manil Suri
Journal: Math. Comp. 66 (1997), 15-29
MSC (1991): Primary 65N30, 73K15, 73V05
MathSciNet review: 1377665
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Abstract: We propose and analyze an $hp$ finite element method for the Nagdhi shell model, based on rectangular elements. We show that for the bending-dominated case, assuming sufficient smoothness on the solution, the method is locking free in terms of both $h$ and $p$, as the thickness of the shell tends to zero. Our results are established under the assumption that the geometrical coefficients appearing in the model are piecewise polynomial functions.

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Additional Information

Manil Suri
Affiliation: Department of Mathematics and Statistics, University of Maryland Baltimore County, 1000 Hilltop Circle, Baltimore, Maryland 21250

Keywords: Locking, shell, $hp$, finite element
Received by editor(s): August 5, 1994
Received by editor(s) in revised form: February 9, 1996
Additional Notes: Research partially supported by the Air Force Office of Scientific Research, Bolling AFB, DC, under Grant AFOSR F49620-92-J-0100.
Article copyright: © Copyright 1997 American Mathematical Society