A study of higher-order discontinuous Galerkin and quadratic least-squares stabilized finite element computations for acoustics

Isaac Harari, Radek Tezaur, Charbel Farhat

Research output: Contribution to journalArticlepeer-review

Abstract

One-dimensional analyses provide novel definitions of the Galerkin/least-squares stability parameter for quadratic interpolation. A new approach to the dispersion analysis of the Lagrange multiplier approximation in discontinuous Galerkin methods is presented. A series of computations comparing the performance of Q2 Galerkin and GLS methods with Q-8-2 DGM on large-scale problems shows superior DGM results on analogous meshes, both structured and unstructured. The degradation of the Q2 GLS stabilization on unstructured meshes may be a consequence of inadequate one-dimensional analysis used to derive the stability parameter.

Original languageEnglish
Pages (from-to)1-19
Number of pages19
JournalJournal of Computational Acoustics
Volume14
Issue number1
DOIs
StatePublished - Mar 2006

Keywords

  • Discontinuous Galerkin
  • Finite elements
  • Helmholtz equation
  • Stabilized methods

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