All Outputs (5)

Wave interpolation finite elements for Helmholtz problems with jumps in the wave speed (2005)
Journal Article
Laghrouche, O., Bettess, P., Perrey-Debain, E., & Trevelyan, J. (2005). Wave interpolation finite elements for Helmholtz problems with jumps in the wave speed. Computer Methods in Applied Mechanics and Engineering, 194(2-5), 367-381. https://doi.org/10.1016/j.cma.2003.12.074

Finite elements for short wave scattering problems have recently been developed by various authors. These have almost exclusively dealt with the Helmholtz equation. The elements have been very successful, in terms of drastic reductions of the number... Read More about Wave interpolation finite elements for Helmholtz problems with jumps in the wave speed.

Short Wave Scattering, Problems and Techniques (2004)
Journal Article
Bettess, P. (2004). Short Wave Scattering, Problems and Techniques. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 362(1816), 421 - 443. https://doi.org/10.1098/rsta.2003.1329

The paper reviews the problem of modelling short-wave scattering. Short waves are understood to be waves in which the wavelength is much smaller than any other parameters in the problem. The background to wave problems is briefly described. The major... Read More about Short Wave Scattering, Problems and Techniques.

Use of wave boundary elements for acoustic computations (2003)
Journal Article
Perrey-Debain, E., Trevelyan, J., & Bettess, P. (2003). Use of wave boundary elements for acoustic computations. Journal of computational acoustics (Singapore.Online), 11(2), 305-321. https://doi.org/10.1142/s0218396x03001924

Discrete methods of numerical analysis have been used successfully for decades for the solution of problems involving wave diffraction, etc. However, these methods, including the finite element and boundary element methods, can require a prohibitivel... Read More about Use of wave boundary elements for acoustic computations.

Modelling of short wave diffraction problems using approximating systems of plane waves (2002)
Journal Article
Laghrouche, O., Bettess, P., & Astley, R. (2002). Modelling of short wave diffraction problems using approximating systems of plane waves. International Journal for Numerical Methods in Engineering, 54(10), 1501-1533. https://doi.org/10.1002/nme.478

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 isoparamettic e... Read More about Modelling of short wave diffraction problems using approximating systems of plane waves.

Infinite elements (1992)
Book
Bettess, P. (1992). Infinite elements. Penshaw Press

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