This fourth edition has been divided into two volumes. Volume One, published in 1989, introduces the basic finite element approximation concepts and thereafter concentrates on simple linear static computations, which still provide the major part of the finite element usage. Special features of this edition include - work on the patch test; the essence of mixed-formulations; the new area of error estimation and adaptivity; and the concluding chapter incorporates a computer system which can be used to carry out numerical calculations for each problem area considered. Volume Two covers diverse applications and extends the power of the finite element method to new areas. It deals with four main topics: the first is that of plate and shell approximation including very recent developments. The second is the general area of non-linear problems where the basic outline of solution methods is presented for a variety of applications. The third topic is the extension into time domain transients where finite element approaches are outlined. The fourth extends the coverage to problems of fluid mechanics where for the first time full element methods for a range of non-self adjoint equations are summarized and applications ranging from high-speed aeronautical applications to shallow water problems are presented.

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The Finite Element Method: Solid and Fluid Mechanics - Non Linear Problems. Volume 2: Dynamics and Non-Linearity.

Zienkiewicz, O C and R L Taylor:

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