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Higher‐order extensions of a discontinuous Galerkin method for mid‐frequency Helmholtz problems
Author(s) -
Farhat Charbel,
Tezaur Radek,
WeidemannGoiran Paul
Publication year - 2004
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1139
Subject(s) - galerkin method , discretization , discontinuous galerkin method , helmholtz equation , helmholtz free energy , mathematics , lagrange multiplier , mathematical analysis , order (exchange) , mathematical optimization , finite element method , boundary value problem , physics , engineering , structural engineering , finance , quantum mechanics , economics
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 Q 2 and Q 4 for the discretization of interior and exterior Helmholtz problems. Copyright © 2004 John Wiley & Sons, Ltd.