Discontinuous Galerkin Methods for Timoshenko Beams

Fatila Celiker (), Bernardo Cockburn, Sukru Güzey, Ramdev Kanapady, Sew-Chew Soon, Henrik K. Stolarski and Kummar Tamma
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Fatila Celiker: University of Minnesota, School of Mathematics
Bernardo Cockburn: University of Minnesota, School of Mathematics
Sukru Güzey: University of Minnesota, Department of Civil Engineering
Ramdev Kanapady: University of Minnesota, Department of Mechanical Engineering
Sew-Chew Soon: University of Minnesota, Department of Civil Engineering
Henrik K. Stolarski: University of Minnesota, Department of Civil Engineering
Kummar Tamma: University of Minnesota, Department of Mechanical Engineering

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 221-231 from Springer

Abstract: Summary We devise a family of discontinuous Galerkin methods for the Timoshenko beam problem. Sufficient conditions for the existence and uniqueness of the approximation are given. The method allows arbitrary meshes and arbitrary polynomial degrees within the mesh, and hence is suitable for hp adaptivity. Numerical results showing optimal and exponential convergence are provided. These features of the method render it appealing for other problems in structure mechanics such as, plates, shells etc.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_19

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DOI: 10.1007/978-3-642-18775-9_19

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