Energy Methods in Finite Element Analysis.

This book has 19 contributed chapters on various aspects of energy and variational elements of finite element analysis. J.T. Oden gives the mathematical foundations of variational mechanics. P.G. Ciarlet and P. Destuyander prove that the classical two-dimensional linear models in elastic plate theory are the limits of the standard 3-D models of linear elasticity. A. Samuelson introduces 'global constant strain condition' to study non-conforming finite elements. O.C. Zienkiewicz, D.W. Kelly and P. Bettess show how standard finite element methods and boundary integral methods can be coupled in order to solve e.g. boundary value problems on unbounded domains. D.J. Allman treats the use of compatible and equilibrium models and finite elements as applied to the stretchings of elastic plates. L.S.D. Morley develops an approximation of elastic shell problems based on a new finite element stiffness formulation. R.L. Taylor and O.C. Zienkiewicz show by an appropriate penalty technique that complementary energy method difficulties can be overcome. P.A. Raviart and J.M. Thomas give theoretical foundations of the dual finite ele ment models for second order linear elliptic problems and F. Brezzi does the same for fourth order problems. (Continued in next abstract).