Element-by-element post-processing of discontinuous galerkin methods for timoshenko beams

Fatih Celiker, Bernardo Cockburn

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

In this paper, we consider discontinuous Galerkin approximations to the solution of Timoshenko beam problems and show how to post-process them in an element-by-element fashion to obtain a far better approximation. Indeed, we show numerically that, if polynomials of degree p ≤ 1 are used, the post-processed approximation converges with order 2p+1 in the L -norm throughout the domain. This has to be contrasted with the fact that before post-processing, the approximation converges with order p+1 only. Moreover, we show that this superconvergence property does not deteriorate as the the thickness of the beam becomes extremely small.

Original languageEnglish (US)
Pages (from-to)177-187
Number of pages11
JournalJournal of Scientific Computing
Volume27
Issue number1-3
DOIs
StatePublished - Jun 1 2006

Keywords

  • Discontinuous Galerkin method
  • Post-processing
  • Superconvergence
  • Timoshenko beams

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