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Extra resources for Advances in Chemical Physics: Proceedings of the Conference on Instability and Dissipative Strutures in Hydrodynamics, Volume 32
H. Reid of Chicago University, and my colleagues Dr. A. Davey and Dr. A. M. Soward for their 34 P. H. ROBERTS criticism of the first draft of this paper. I also wish to thank the British Council for their support. References 1. E. A. Spiegel, and G. Veronis, Astrophys. , 131, 442 (1960); see also G. Veronis, Asfroplrys. , 135, 655 (1962). 2. R. J. b o p s and E. W. Wilkes, in Handbuch der Physik, Vol. VIa/3, C. , Springer-Verlag, Berlin, 1973, p. 125. 3. W. H. Reid, Sfudies Appl. Mark, 51, 341 (1972).
11. Variational Formulations . . . . . . IrI. Approximate Methods Based on Variational Principles . IV. The Finite Element Method . . . . . . V. Application of the Local Potential Finite Element Iterative Scheme to the Slow Viscous Flow of a Compressible Fluid betweenFiniteEccentric Permeablecylinders . . . VI. Local Potential Formulation for the Slow Viscous Flow of Non-Newtonian Fluid between Nonparallel Plates . . VII. A Variational Formulation for Certain Free Boundary Problems .
58 Abstract This paper is a discussion of classical and nonclassical variational methods. Emphasis is placed on the associated approximation schemes and, in particular, the finite element method. The local potential formulation as conceived of by Glansdorff and Prigogine is connected with these more modem approximation schemes. Examples are given which arise from certain nonlinear fluid and solid mechanics problems.