A reduced constraint ℎ𝑝 finite element method for shell problems

Suri, Manil

doi:10.1090/S0025-5718-97-00806-5

A reduced constraint $hp$ finite element method for shell problems
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Math. Comp. 66 (1997), 15-29 Request permission

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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