Locking-Free Optimal Discontinuous Galerkin Methods for Timoshenko Beams

In this paper, we consider the so-called hp-version of discontinuous Galerkin methods for Timoshenko beams. We prove that, when the numerical traces are properly chosen, the methods display optimal convergence uniformly with respect to the thickness of the beam. These methods are thus free from shea...

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Veröffentlicht in:	SIAM journal on numerical analysis 2006-01, Vol.44 (6), p.2297-2325
Hauptverfasser:	Celiker, Fatih, Cockburn, Bernardo, Stolarski, Henryk K.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied mathematics Approximation Boundary conditions Calculus of variations and optimal control Civil engineering Degrees of polynomials Error rates Estimation methods Exact sciences and technology Finite element method Galerkin methods Mathematical analysis Mathematical discontinuity Mathematics Methods Numerical analysis Numerical analysis. Scientific computation Polynomials Sciences and techniques of general use Timoshenko beam theory
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