On Boundary-Galerkin and Hybrid Finite Element Methods in Elasticity
The classical method of Trefftz consists of minimizing the energy error over the finite-energy solutions of the equilibrium equations. The method of Reissner  (also ) 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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