All Outputs (3)

The equal spacing of N points on a sphere with application to partition-of-unity wave diffraction problems (2014)
Journal Article
Peake, M., Trevelyan, J., & Coates, G. (2014). The equal spacing of N points on a sphere with application to partition-of-unity wave diffraction problems. Engineering Analysis with Boundary Elements, 40, 114-122. https://doi.org/10.1016/j.enganabound.2013.11.020

This paper addresses applications involving the selection of a set of points on a sphere, in which the uniformity of spacing can be of importance in enhancing the computational performance and/or the accuracy of some simulation. For the authors, the... Read More about The equal spacing of N points on a sphere with application to partition-of-unity wave diffraction problems.

Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems (2013)
Journal Article
Peake, M., Trevelyan, J., & Coates, G. (2013). Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems. Computer Methods in Applied Mechanics and Engineering, 259, 93-102. https://doi.org/10.1016/j.cma.2013.03.016

Isogeometric analysis is a topic of considerable interest in the field of numerical analysis. The boundary element method (BEM) requires only the bounding surface of geometries to be described; this makes non-uniform rational B-splines (NURBS), which... Read More about Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems.

Novel basis functions for the partition of unity boundary element method for Helmholtz problems (2012)
Journal Article
Peake, M., Trevelyan, J., & Coates, G. (2012). Novel basis functions for the partition of unity boundary element method for Helmholtz problems. International Journal for Numerical Methods in Engineering, 93(9), 905-918. https://doi.org/10.1002/nme.4411

The BEM is a popular technique for wave scattering problems given its inherent ability to deal with infinite domains. In the last decade, the partition of unity BEM, in which the approximation space is enriched with a linear combination of plane wave... Read More about Novel basis functions for the partition of unity boundary element method for Helmholtz problems.