Jonathan Trevelyan's Outputs (108)

On adaptive definition of the plane wave basis for wave boundary elements in acoustic scattering: the 2D case (2010)
Journal Article
Trevelyan, J., & Coates, G. (2010). On adaptive definition of the plane wave basis for wave boundary elements in acoustic scattering: the 2D case. Computer Modeling in Engineering & Sciences, 55(2), 147-170. https://doi.org/10.3970/cmes.2010.055.147

The terminology "wave boundary elements" relates to boundary elements enriched in the Partition of Unity sense by a multiple plane wave basis for the analysis of the propagation of short wavelength waves. This paper presents a variant of this approac... Read More about On adaptive definition of the plane wave basis for wave boundary elements in acoustic scattering: the 2D case.

A numerical coordinate transformation for efficient evaluation of oscillatory integrals over wave boundary elements. (2009)
Journal Article
Trevelyan, J., & Honnor, M. (2009). A numerical coordinate transformation for efficient evaluation of oscillatory integrals over wave boundary elements. The Journal of integral equations and applications, 21(3), 447-468. https://doi.org/10.1216/jie-2009-21-3-447

When the Partition of Unity Method is applied to a discretised integral equation form of the Helmholtz operator, the computational cost is dominated by the evaluation of highly oscillatory integrals over discretisations. This paper presents a new num... Read More about A numerical coordinate transformation for efficient evaluation of oscillatory integrals over wave boundary elements..

An integration scheme for electromagnetic scattering using plane wave edge elements (2009)
Journal Article
Honnor, M., Trevelyan, J., Bettess, P., El hachemi, M., Hassan, O., Morgan, K., & Shirron, J. (2009). An integration scheme for electromagnetic scattering using plane wave edge elements. Advances in Engineering Software, 40(1), 58-65

Coupling of the boundary element method and the scaled boundary finite element method for computations in fracture mechanics (2008)
Journal Article
Chidgzey, S., Trevelyan, J., & Deeks, A. (2008). Coupling of the boundary element method and the scaled boundary finite element method for computations in fracture mechanics. Computers and Structures, 86(11-12), 1198-1203

Efficient Calculation of Stress Intensity Factors using a Coupled BEM-SBFEM Algorithm. (2008)
Presentation / Conference Contribution
Bird, G. E., Trevelyan, J., & Augarde, C. E. (2008, June). Efficient Calculation of Stress Intensity Factors using a Coupled BEM-SBFEM Algorithm. Presented at 8th World Congress on Computational Mechanics, Venice, Italy

Techniques to accelerate BEM computation to provide virtual reality update of stress solutions (2007)
Journal Article
Trevelyan, J., & Scales, D. (2007). Techniques to accelerate BEM computation to provide virtual reality update of stress solutions. Engineering Analysis with Boundary Elements, 31(11), 875-889

Development of an instrumented pole test for use as a gait laboratory quality check (2007)
Journal Article
Lewis, A., Stewart, C., Postans, N., & Trevelyan, J. (2007). Development of an instrumented pole test for use as a gait laboratory quality check. Gait & Posture, 26(2), 317-322

Rapid re-analysis in BEM elastostatic calculations. (2006)
Presentation / Conference Contribution
Trevelyan, J., & Scales, D. (2006, May). Rapid re-analysis in BEM elastostatic calculations. Presented at BEM/MRM 28., Skiathos, Greece

Rapid re-analysis in 2D BEM elastostatic calculations. (2005)
Presentation / Conference Contribution
Scales, D., & Trevelyan, J. (2005, December). Rapid re-analysis in 2D BEM elastostatic calculations. Presented at UKBIM 5, Liverpool, England

Tuning of parameters guiding B-spline based ESO optimisation with boundary elements. (2005)
Presentation / Conference Contribution
Wen, J., & Trevelyan, J. (2005, December). Tuning of parameters guiding B-spline based ESO optimisation with boundary elements. Presented at UKBIM 5, Liverpool, England

Evolutionary structural optimisation based on boundary representation of NURBS: Part II: 3D algorithms. (2005)
Journal Article
Cervera, E., & Trevelyan, J. (2005). Evolutionary structural optimisation based on boundary representation of NURBS: Part II: 3D algorithms. Computers and Structures, 83(23-24), 1917-1929

Evolutionary structural optimisation based on boundary representation of NURBS: Part I: 2D algorithms. (2005)
Journal Article
Cervera, E., & Trevelyan, J. (2005). Evolutionary structural optimisation based on boundary representation of NURBS: Part I: 2D algorithms. Computers and Structures, 83(23-24), 1902-1916

On wave boundary elements for radiation and scattering problems with piecewise constant impedance (2005)
Journal Article
Perrey-Debain, E., Trevelyan, J., & Bettess, P. (2005). On wave boundary elements for radiation and scattering problems with piecewise constant impedance. IEEE Transactions on Antennas and Propagation, 53(2), 876-879. https://doi.org/10.1109/tap.2004.841274

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 On wave boundary elements for radiation and scattering problems with piecewise constant impedance.

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.

Experiments in adaptive selection of plane wave basis directions for wave boundary elements. (2004)
Presentation / Conference Contribution
Trevelyan, J., Perrey-Debain, E., & Bettess, P. (2004, December). Experiments in adaptive selection of plane wave basis directions for wave boundary elements. Presented at 18th Australasian Conference on Mechanics of Structures and Materials., Perth, Australia

Acceleration of boundary element computations in reanalysis of problems in elasticity. (2004)
Presentation / Conference Contribution
Trevelyan, J., Scales, D., Morris, R., & Bird, G. (2004, December). Acceleration of boundary element computations in reanalysis of problems in elasticity. Presented at WCCM 6, Beijing, China

Plane-wave basis finite elements and boundary elements for three-dimensional wave scattering (2004)
Journal Article
Perrey-Debain, E., Laghrouche, O., Bettess, P., & Trevelyan, J. (2004). Plane-wave basis finite elements and boundary elements for three-dimensional wave scattering. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 362(1816), 561-577. https://doi.org/10.1098/rsta.2003.1335

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... Read More about Plane-wave basis finite elements and boundary elements for three-dimensional wave scattering.

Wave boundary elements : a theoretical overview presenting applications in scattering of short waves (2004)
Journal Article
Perrey-Debain, E., Trevelyan, J., & Bettess, P. (2004). Wave boundary elements : a theoretical overview presenting applications in scattering of short waves. Engineering Analysis with Boundary Elements, 28(2), 131-141. https://doi.org/10.1016/s0955-7997%2803%2900127-9

It is well known that the use of conventional discrete numerical methods of analysis (FEM and BEM) in the solution of Helmholtz and elastodynamic wave problems is limited by an upper bound on frequency. The current work addresses this problem by inco... Read More about Wave boundary elements : a theoretical overview presenting applications in scattering of short waves.

P-wave and S-wave decomposition in boundary integral equation for plane elastodynamic problems. (2003)
Journal Article
Perrey-Debain, E., Trevelyan, J., & Bettess, P. (2003). P-wave and S-wave decomposition in boundary integral equation for plane elastodynamic problems. Communications in numerical methods in engineering, 19(12), 945-958

Plane wave basis finite-elements for wave scattering in three dimensions. (2003)
Journal Article
Laghrouche, O., Bettess, P., Perrey-Debain, E., & Trevelyan, J. (2003). Plane wave basis finite-elements for wave scattering in three dimensions. Communications in numerical methods in engineering, 19(9), 715-723