A comparison of high-order finite elements method and wave-based discontinuous Galerkin method for Helmholtz problems
A comparison of high-order finite elements method and wave-based discontinuous Galerkin method for Helmholtz problems
In this paper, we compare the performance of the wave-based discontinuous Galerkin method against the polynomial high-order finite element method (FEM) for Helmholtz problems. Previous studies demonstrate that both methods lead to a control of the dispersion error associated with low-order FEM at high frequency. Common belief is that compared to polynomial methods, physics-based methods can provide a significant improvement in performance, at the expense of a deterioration of the conditioning. However, the results presented in this paper indicate that the differences in accuracy, efficiency and conditioning between the two approaches are more nuanced than generally assumed.
Lieu, A.L.
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Gabard, G.G.
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Beriot, H.B.
9b199fd2-994c-478a-a5e2-cd4308148dfd
2015
Lieu, A.L.
172d7ad2-fd24-44dd-b8ab-218fb54e0df9
Gabard, G.G.
bfd82aee-20f2-4e2c-ad92-087dc8ff6ce7
Beriot, H.B.
9b199fd2-994c-478a-a5e2-cd4308148dfd
Lieu, A.L., Gabard, G.G. and Beriot, H.B.
(2015)
A comparison of high-order finite elements method and wave-based discontinuous Galerkin method for Helmholtz problems.
The 12th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Karlsruhe, Germany.
20 - 24 Jul 2015.
2 pp
.
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Abstract
In this paper, we compare the performance of the wave-based discontinuous Galerkin method against the polynomial high-order finite element method (FEM) for Helmholtz problems. Previous studies demonstrate that both methods lead to a control of the dispersion error associated with low-order FEM at high frequency. Common belief is that compared to polynomial methods, physics-based methods can provide a significant improvement in performance, at the expense of a deterioration of the conditioning. However, the results presented in this paper indicate that the differences in accuracy, efficiency and conditioning between the two approaches are more nuanced than generally assumed.
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Accepted/In Press date: 4 April 2015
Published date: 2015
Venue - Dates:
The 12th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Karlsruhe, Germany, 2015-07-20 - 2015-07-24
Organisations:
Acoustics Group
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Local EPrints ID: 380992
URI: http://eprints.soton.ac.uk/id/eprint/380992
PURE UUID: 6ff24cdf-01a7-4b1d-845c-40a2bffcca9e
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Date deposited: 02 Oct 2015 08:08
Last modified: 14 Mar 2024 21:08
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Contributors
Author:
A.L. Lieu
Author:
G.G. Gabard
Author:
H.B. Beriot
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