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On Boundary-Galerkin and Hybrid Finite Element Methods in Elasticity

  • J. J. Grannell
Conference paper

Abstract

The classical method of Trefftz consists of minimizing the energy error over the finite-energy solutions of the equilibrium equations. The method of Reissner [4] (also [3]) is equivalent. Analysis of the methods and of their coupling with domain methods requires an alternative formulation of the theory of elasticity. The three-dimensional case is considered (similar results hold in two dimensions). The elastic body occupies a region Ω with Lipschitz boundary Γ.

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References

  1. 1.
    Grannell, J.J.: Boundary-Galerkin and hybrid finite element methods in elasticity. Preprint MPJG-874, University College Cork 1987.Google Scholar
  2. 2.
    Grannell, J.J., Dwyer, J.: Singular problems in anisotropic elasticity — an edge-function method. ICES-88 These proceedings.Google Scholar
  3. 3.
    Hlavacek, I.: On Reissner’s variational theorem for boundary values in linear elasticity. Aplikace Matematiky 16 (1971) 109–124.MathSciNetzbMATHGoogle Scholar
  4. 4.
    Reissner, E.; On some variational theorems in elasticity; Problems of continuum mechanics — contributions in honour of N.I. Muskhelishvili (1961) 370–381.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • J. J. Grannell
    • 1
  1. 1.Department of Mathematical PhysicsUniversity CollegeCorkIreland

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