Research Article

Higher-order extensions of a discontinuous Galerkin method for mid-frequency Helmholtz problems

  1. Charbel Farhat*,
  2. Radek Tezaur,
  3. Paul Weidemann-Goiran

Article first published online: 15 OCT 2004

DOI: 10.1002/nme.1139

Issue

International Journal for Numerical Methods in Engineering

International Journal for Numerical Methods in Engineering

Volume 61, Issue 11, pages 1938–1956, 21 November 2004

Additional Information

How to Cite

Farhat, C., Tezaur, R. and Weidemann-Goiran, P. (2004), Higher-order extensions of a discontinuous Galerkin method for mid-frequency Helmholtz problems. International Journal for Numerical Methods in Engineering, 61: 1938–1956. doi: 10.1002/nme.1139

Author Information

  1. Department of Aerospace Engineering Sciences, Center for Aerospace Structures, The University of Colorado at Boulder, Campus Box 429, Boulder, CO 80309-0429, U.S.A.

*Department of Aerospace Engineering Sciences, and Center for Aerospace Structures, The University of Colorado at Boulder, Campus Box 429, Boulder, CO 80309-0429, U.S.A.

Publication History

  1. Issue published online: 2 NOV 2004
  2. Article first published online: 15 OCT 2004
  3. Manuscript Accepted: 18 MAY 2004
  4. Manuscript Revised: 25 MAR 2004
  5. Manuscript Received: 9 MAR 2004

Funded by

  • Office of Naval Research. Grant Number: N-00014-01-1-0356
  • United States-Israel Binational Science Foundation. Grant Number: 2000315

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Keywords:

  • discontinuous enrichment;
  • discontinuous Galerkin;
  • Helmholtz;
  • high-order;
  • Lagrange multipliers;
  • scattering

Abstract

Recently, a discontinuous Galerkin method with plane wave basis functions and Lagrange multiplier degrees of freedom was proposed for the efficient solution of Helmholtz problems in the mid-frequency regime. In this paper, this method is extended to higher-order elements. Performance results obtained for various two-dimensional problems highlight the advantages of these elements over classical higher-order Galerkin elements such as Q2 and Q4 for the discretization of interior and exterior Helmholtz problems. Copyright © 2004 John Wiley & Sons, Ltd.

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