Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Peter Bettess"'
Autor:
M. E. Honnor, Jon Trevelyan, Oubay Hassan, Kenneth Morgan, M. El-hachemi, Peter Bettess, Joseph J. Shirron
Publikováno v:
Advances in Engineering Software. 40:58-65
Finite element techniques for the simulation of electromagnetic wave propagation are, like all conventional element based approaches for wave problems, limited by the ability of the polynomial basis to capture the sinusoidal nature of the solution. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6016ad99b1cfccd3e2bdbf14a08cb62d
https://doi.org/10.1016/j.advengsoft.2008.03.004
https://doi.org/10.1016/j.advengsoft.2008.03.004
Publikováno v:
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2004, 362 (1816), pp.561-577. ⟨10.1098/rsta.2003.1335⟩
Heriot-Watt University
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2004, 362 (1816), pp.561-577. ⟨10.1098/rsta.2003.1335⟩
Heriot-Watt University
Classical finite-element and boundary-element formulations for the Helmholtz equation are presented, and their limitations with respect to the number of variables needed to model a wavelength are explained. A new type of approximation for the potenti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd874272fbd2fcc3578c669b8b2d5951
https://doi.org/10.1098/rsta.2003.1335
https://doi.org/10.1098/rsta.2003.1335
Publikováno v:
Communications in Numerical Methods in Engineering
Communications in Numerical Methods in Engineering, Wiley, 2003, 19 (12), pp.945-958. ⟨10.1002/cnm.643⟩
Communications in Numerical Methods in Engineering, Wiley, 2003, 19 (12), pp.945-958. ⟨10.1002/cnm.643⟩
The method of plane wave basis functions, a subset of the method of Partition of Unity, has previously been applied successfully to finite element and boundary element models for the Helmholtz equation. In this paper we describe the extension of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db357d27aba2b2205212d55a75f8dcd3
https://doi.org/10.1002/cnm.643
https://doi.org/10.1002/cnm.643
Autor:
Rie Sugimoto, Peter Bettess
Publikováno v:
Communications in Numerical Methods in Engineering. 19:761-777
The theory for coupling of mapped wave infinite elements and special wave finite elements for the solution of the Helmholtz equation in unbounded domains is presented. Mapped wave infinite elements can be applied to boundaries of arbitrary shape for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::05aa3f118f5f3fff67ee32e9a5d4cf00
https://doi.org/10.1002/cnm.618
https://doi.org/10.1002/cnm.618
Publikováno v:
Communications in Numerical Methods in Engineering. 19:233-245
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 wa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a819267df433c345d5f9f819ba9a7ad7
https://doi.org/10.1002/cnm.584
https://doi.org/10.1002/cnm.584
Autor:
Peter Bettess, R. A. Abram
Publikováno v:
Communications in Numerical Methods in Engineering. 18:325-334
Finite element and infinite element models are used to predict the behaviour of a simple example problem in quantum mechanics, that of a linear harmonic oscillator. It is shown that good agreement with the analytical solution is obtained and that the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::55dbf28d4b03f0f1eaed4900a40d0cb1
https://doi.org/10.1002/cnm.488
https://doi.org/10.1002/cnm.488
Publikováno v:
Communications in Numerical Methods in Engineering
Communications in Numerical Methods in Engineering, Wiley, 2002, 18 (4), pp.259-268. ⟨10.1002/cnm.492⟩
Communications in Numerical Methods in Engineering, Wiley, 2002, 18 (4), pp.259-268. ⟨10.1002/cnm.492⟩
The theory of special boundary elements which incorporate wave shapes into the element shape functions is described. The new boundary elements are applied to the classical problem of plane waves scattered by a circular cylinder. The new boundary elem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84d476b19ac3de43bec8ed80720f9e95
https://doi.org/10.1002/cnm.492
https://doi.org/10.1002/cnm.492
Autor:
Bernard Peseux, Peter Bettess, Jon Trevelyan, Omar Laghrouche, Rie Sugimoto, Joseph J. Shirron
Publikováno v:
Heriot-Watt University
International Journal for Numerical Methods in Engineering
International Journal for Numerical Methods in Engineering, Wiley, 2003, 56 (4), pp.531-552. ⟨10.1002/nme.575⟩
International Journal for Numerical Methods in Engineering
International Journal for Numerical Methods in Engineering, Wiley, 2003, 56 (4), pp.531-552. ⟨10.1002/nme.575⟩
International audience; The theory for integrating the element matrices for rectangular, triangular and quadrilateral finite elements for the solution of the Helmholtz equation for very short waves is presented. A numerical integration scheme is deve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8209c18cd1db7afa73ffd5f2f7c5b16f
https://doi.org/10.1002/nme.575
https://doi.org/10.1002/nme.575
Publikováno v:
International Journal for Numerical Methods in Engineering. 54:1501-1533
This paper describes a finite element model for the solution of Helmholtz problems at higher frequencies that offers the possibility of computing many wavelengths in a single finite element. The approach is based on partition of unity isoparametric e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c66aafabe082ff6f0385539144ecf90
https://doi.org/10.1002/nme.478
https://doi.org/10.1002/nme.478
Autor:
Omar Laghrouche, Peter Bettess
Publikováno v:
Journal of Computational Acoustics. :189-210
The solutions to the Helmholtz equation in the plane are approximated by systems of plane waves. The aim is to develop finite elements capable of containing many wavelengths and therefore simulating problems with large wave numbers without refining t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ffa3a28b3d36927f2b8cd3adbef4b884
https://doi.org/10.1142/s0218396x00000121
https://doi.org/10.1142/s0218396x00000121