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Finite Element
Short Wave
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Short Wave Modelling Using Special Finite Elements
Short Wave Modelling Using Special Finite Elements,10.1016/S0218-396X(00)00012-1,Journal of Computational Acoustics,O Laghrouche
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Short Wave Modelling Using Special Finite Elements
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Citations: 30
)
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O Laghrouche
Journal:
Journal of Computational Acoustics - J COMPUT ACOUST
, vol. 8, no. 1, pp. 189-210, 2000
DOI:
10.1016/S0218-396X(00)00012-1
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Citation Context
(11)
...The method has been evaluated for the Helmholtz problem (
Lagrouche and Bettess, 2000
...
Soufien Essahbi
,
et al.
On the use of the plane wave based method for vibro-acoustic problems
...[
19
,21,38,39]. Variation of (16) with respect to β yields:...
...For conventional element models, many literatures recommend Nn > 10 (see, e.g., [
19
,38] among others) for the continuous Galerkin elements...
...Furthermore, when the element geometry is subparametric, the H- and G-matrices of TP (see (22)) can be evaluated by analytical integration as in the plane-wave basis elements [
19
,21,38,39]...
K. Y. Sze
,
et al.
Hybrid-Trefftz six-node triangular finite element models for Helmholtz...
...Those methods are known under the names of Microlocal Discretization (see [8]), Finite Element Ray Method (see [18]), Partition of Unity Finite Element Method (see [1] and [20]), or plane wave basis finiteelement method (see [
13
] and [14])...
Britta Heubeck
,
et al.
New Finite Elements for Large-Scale Simulation of Optical Waves
...Contrary to other approaches using a priori phase information [5], [
6
], the proposed amplitude formulation can be discretized and solved using standard polynomial finite elements, which makes the method easy to implement in existing finite element codes...
Christophe Geuzaine
,
et al.
An Amplitude Formulation to Reduce the Pollution Error in the Finite E...
...More recently, the Partition of Unity method [4,
5
,6] has been applied to a more general class of problem where no a priori wave direction is known...
R. J. Astley
,
et al.
Wave-based numerical methods for acoustics
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Citations
(30)
On the use of the plane wave based method for vibro-acoustic problems
Soufien Essahbi
,
Emmanuel Perry-Debain
,
Mohamed Haddar
,
Lotfi Hammami
,
Mabrouk Ben Tahar
Journal:
Multidiscipline Modeling in Materials and Structures
, vol. 7, no. 4, pp. 356-369, 2011
Hybrid-Trefftz six-node triangular finite element models for Helmholtz problem
(
Citations: 2
)
K. Y. Sze
,
G. H. Liu
Journal:
Computational Mechanics - COMPUTATION MECH
, vol. 46, no. 3, pp. 455-470, 2010
Improvement of PUFEM for the numerical solution of high-frequency elastic wave scattering on unstructured triangular mesh grids
(
Citations: 1
)
A. El Kacimi
,
O. Laghrouche
Journal:
International Journal for Numerical Methods in Engineering - INT J NUMER METHOD ENG
, 2010
A discontinuous enrichment method for the efficient solution of plate vibration problems in the medium-frequency regime
Paolo Massimi
,
Radek Tezaur
,
Charbel Farhat
Journal:
International Journal for Numerical Methods in Engineering - INT J NUMER METHOD ENG
, 2010
Comparison of two wave element methods for the Helmholtz problem
(
Citations: 15
)
T. Huttunen
,
P. Gamallo
,
R. J. Astley
Journal:
Communications in Numerical Methods in Engineering
, vol. 25, no. 1, pp. 35-52, 2009