 
Summary: The partial selective reduced integration
method and applications to shell problems
D.N. Arnold()
F. Brezzi()
()
Dept. of Mathematics, Penn State University
()
Istituto di Analisi Numerica  C.N.R., Pavia and
Dip. di Matematica, Universit`a di Pavia
We shall briefly present here the main idea of partial
selective reduced integration as developed in [1], [2]. As
we shall see the idea is quite general and can be applied to
a number of different situations. For the sake of simplicity,
however, we shall concentrate on the particular case of
Naghdi shell models. Once the idea is understood, its
generalisation to other cases should be straightforward.
Let us consider the general expression of the energy
to be minimised in the case of Naghdi shell models in the
following way
J(U) = Jb(U) + Jm(U) + Js(U) + Je(U)
