Locking-free optimal discontinuous galerkin methods for timoshenko beams

Fatih Celiker, Bernardo Cockburn, Henryk K. Stolarski

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

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 shear locking. We also prove that, when polynomials of degree p are used, all the numerical traces superconverge with a rate of order h2p+1 /p 2p+1. Numerical experiments verifying the above-mentioned theoretical results are shown.

Original languageEnglish (US)
Pages (from-to)2297-2325
Number of pages29
JournalSIAM Journal on Numerical Analysis
Volume44
Issue number6
DOIs
StatePublished - Dec 1 2006

Keywords

  • Discontinuous Galerkin methods
  • Locking
  • Superconvergence
  • Timoshenko beams

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