KOITER ESTIMATE REVISITED

Mordell’s Exponential Sum Estimate Revisited

The "55M End-User Programmers" Estimate Revisited

In 1995, Boehm predicted that by 2005, there would be “55 million performers” of “end-user programming” in the United States. Examining the original context and method which generated this number reveals that it actually estimates the number of computer users in businesses—not programmers, per se—and it assumes constant computer usage rates. This paper extends Boehm’s estimate using fresh Burea...

QUICKSELECT Revisited

We give an overview of the running time analysis of the random divide-and-conquer algorithm FIND or QUICKSELECT. The results concern moments, distribution of FIND’s running time, the limiting distribution, a stochastic bound and the key: a stochastic fixed point equation.

Free vibrations for some Koiter shells of revolution

The asymptotic behaviour of the smallest eigenvalue in linear Koiter shell problems is studied, as the thickness parameter tends to zero. In particular, three types of shells of revolution are considered. A result concerning the ratio between the bending and the total elastic energy is also provided, by using the general theory detailed in [2, 3].

Koiter Shell Governed by Strongly Monotone Constitutive Equations

In this paper we use the theory of monotone operators to generalize the linear shell model presented in (Blouza and Le Dret, 1999) to a class of physically nonlinear models. We present a family of nonlinear constitutive equations, for which we prove the existence and uniqueness of the solution of the presented nonlinear model, as well as the convergence of the Galerkin method. We also present t...