A numerical integration scheme for special quadrilateral finite elements for the Helmholtz equation
A numerical integration scheme for special quadrilateral finite elements for the Helmholtz equation
This paper is an extension to an earlier paper dealing with the general problem of integrating special wave elements and specifically deals with quadrilateral elements, which have their own unique problems. The theory for integrating quadrilateral wave finite elements for the solution of the Helmholtz equation for very short waves is presented. The results are compared with those obtained using large numbers of Gauss-Legendre integration points.
short waves, finite elements, special finite elements, semi-analytical integration, numerical integration
233-245
Sugimoto, R.
cb8c880d-0be0-4efe-9990-c79faa8804f0
Bettess, P.
97ac23e0-6e16-408a-91c8-fcba3b35a829
Trevelyan, J.
95ad8711-55ca-409d-bbed-055788116df7
2003
Sugimoto, R.
cb8c880d-0be0-4efe-9990-c79faa8804f0
Bettess, P.
97ac23e0-6e16-408a-91c8-fcba3b35a829
Trevelyan, J.
95ad8711-55ca-409d-bbed-055788116df7
Sugimoto, R., Bettess, P. and Trevelyan, J.
(2003)
A numerical integration scheme for special quadrilateral finite elements for the Helmholtz equation.
Communications in Numerical Methods in Engineering, 19 (3), .
(doi:10.1002/cnm.584).
Abstract
This paper is an extension to an earlier paper dealing with the general problem of integrating special wave elements and specifically deals with quadrilateral elements, which have their own unique problems. The theory for integrating quadrilateral wave finite elements for the solution of the Helmholtz equation for very short waves is presented. The results are compared with those obtained using large numbers of Gauss-Legendre integration points.
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Published date: 2003
Keywords:
short waves, finite elements, special finite elements, semi-analytical integration, numerical integration
Identifiers
Local EPrints ID: 10385
URI: http://eprints.soton.ac.uk/id/eprint/10385
ISSN: 1069-8299
PURE UUID: ae6b411b-2943-4cc1-b060-f41349cd3a59
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Date deposited: 10 Jun 2005
Last modified: 16 Mar 2024 03:36
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Author:
P. Bettess
Author:
J. Trevelyan
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