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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- Manil Suri
- Affiliation: Department of Mathematics and Statistics, University of Maryland Baltimore County, 1000 Hilltop Circle, Baltimore, Maryland 21250
- Email: email@example.com
- 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.
- © Copyright 1997 American Mathematical Society
- Journal: Math. Comp. 66 (1997), 15-29
- MSC (1991): Primary 65N30, 73K15, 73V05
- DOI: https://doi.org/10.1090/S0025-5718-97-00806-5
- MathSciNet review: 1377665