Istituto di Matematica Applicata e Tecnologie Informatiche     
Madureira A. The Poisson problem in a three-dimensional plate. Technical report ercim.cnr.ian//2000-1193, 2000.
This note was the basis of a short course presented on June 23, 2000, at University of Pavia, Italy. Here we define and analyze dimension reduction models for the Poisson problem in a thin, three-dimensional plate. After introducing the Poisson problem, and a variational approach for dimendion reduction, we present the asymptotic expansion for the exact and model solutions. Then we estimate the modelling error.
Subject Poisson problem, plate, dimension reduction

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