Finite Element Methods for Thin Shell Problems - Tapa dura

Sinopsis

This is a collection of the main results of mathematical and numerical analyses related to the approximation of the solutions of thin shell problems by finite element methods. The main modelizations of thin shells are recalled and the associate existence results in appropriate functional spaces are proved. The approximation of these solutions by different kinds of finite element methods is examined in detail: the formulation of approximate problems; the study of existence and the convergence of the approximate solutions to the exact solution; and the derivation of a priori error estimates. These approximations take into account the approximations of displacement and geometry, and those related to the use of numerical integration techniques.

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