The embedded discontinuous Galerkin method: Application to linear shell problems

S. Güzey, B. Cockburn, H. K. Stolarski

Research output: Contribution to journalArticlepeer-review

45 Scopus citations

Abstract

A new discontinuous Galerkin method for elliptic problems which is capable of rendering the same set of unknowns in the final system of equations as for the continuous displacement-based Galerkin method is presented. Those equations are obtained by the assembly of element matrices whose structure in particular cases is also identical to that of the continuous displacement approach. This makes the present formulation easily implementable within the existing commercial computer codes. The proposed approach is named the embedded discontinuous Galerkin method. It is applicable to any system of linear partial differential equations but it is presented here in the context of linear elasticity. An application of the method to linear shell problems is then outlined and numerical results are presented.

Original languageEnglish (US)
Pages (from-to)757-790
Number of pages34
JournalInternational Journal for Numerical Methods in Engineering
Volume70
Issue number7
DOIs
StatePublished - May 14 2007

Keywords

  • Discontinuous Galerkin method
  • Finite elements
  • Hybrid methods
  • Locking-free formulation
  • Shells

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