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A comparison of techniques for overcoming non-uniqueness of boundary integral equations for the collocation partition of unity method in two dimensional acoustic scattering (2013)
Journal Article
Diwan, G., Trevelyan, J., & Coates, G. (2013). A comparison of techniques for overcoming non-uniqueness of boundary integral equations for the collocation partition of unity method in two dimensional acoustic scattering. International Journal for Numerical Methods in Engineering, 96(10), 645-664. https://doi.org/10.1002/nme.4583

The Partition of Unity Method has become an attractive approach for extending the allowable frequency range for wave simulations beyond that available using piecewise polynomial elements. The non-uniqueness of solution obtained from the conventional... Read More about A comparison of techniques for overcoming non-uniqueness of boundary integral equations for the collocation partition of unity method in two dimensional acoustic scattering.

An enriched finite element model with q-refinement for radiative boundary layers in glass cooling (2013)
Journal Article
Mohamed, M., Seaid, M., Trevelyan, J., & Laghrouche, O. (2014). An enriched finite element model with q-refinement for radiative boundary layers in glass cooling. Journal of Computational Physics, 258, 718-737. https://doi.org/10.1016/j.jcp.2013.11.005

Radiative cooling in glass manufacturing is simulated using the partition of unity finite element method. The governing equations consist of a semi-linear transient heat equation for the temperature field and a stationary simplified P1 approximation... Read More about An enriched finite element model with q-refinement for radiative boundary layers in glass cooling.

Correlation between hole insertion criteria in a boundary element and level set based topology optimisation method (2013)
Journal Article
Ullah, B., & Trevelyan, J. (2013). Correlation between hole insertion criteria in a boundary element and level set based topology optimisation method. Engineering Analysis with Boundary Elements, 37(11), 1457-1470. https://doi.org/10.1016/j.enganabound.2013.08.003

The research work presented in this paper is based on the correlation between two hole insertion criteria in a boundary element method (BEM) and level set method (LSM) based structural topology optimisation scheme for 2D elastic problems. The hole in... Read More about Correlation between hole insertion criteria in a boundary element and level set based topology optimisation method.

Time-independent hybrid enrichment for finite element solution of transient conduction–radiation in diffusive grey media (2013)
Journal Article
Mohamed, M., Seaid, M., Trevelyan, J., & Laghrouche, O. (2013). Time-independent hybrid enrichment for finite element solution of transient conduction–radiation in diffusive grey media. Journal of Computational Physics, 251, 81-101. https://doi.org/10.1016/j.jcp.2013.05.030

We investigate the effectiveness of the partition-of-unity finite element method for transient conduction–radiation problems in diffusive grey media. The governing equations consist of a semi-linear transient heat equation for the temperature field a... Read More about Time-independent hybrid enrichment for finite element solution of transient conduction–radiation in diffusive grey media.

A hyper-heuristic approach to aircraft structural design optimization (2013)
Journal Article
Allen, J., Coates, G., & Trevelyan, J. (2013). A hyper-heuristic approach to aircraft structural design optimization. Structural and Multidisciplinary Optimization, 48(4), 807-819. https://doi.org/10.1007/s00158-013-0928-3

The conceptual design of an aircraft is a challenging problem in which optimization can be of great importance to the quality of design generated. Mass optimization of the structural design of an aircraft aims to produce an airframe of minimal mass w... Read More about A hyper-heuristic approach to aircraft structural design optimization.

Improving wind turbine drivetrain bearing reliability through pre-misalignment (2013)
Journal Article
Whittle, M., Trevelyan, J., Shin, W., & Tavner, P. (2013). Improving wind turbine drivetrain bearing reliability through pre-misalignment. Wind Energy, 17(8), 1217-1230. https://doi.org/10.1002/we.1629

Improving the reliability of wind turbines (WT) is an essential component in the bid to minimize the cost of energy, especially for offshore wind because of the difficulties associated with access for maintenance. Numerous studies have shown that WT... Read More about Improving wind turbine drivetrain bearing reliability through pre-misalignment.

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.

An Isogeometric Boundary Element Method for elastostatic analysis: 2D implementation aspects (2013)
Journal Article
Simpson, R., Bordas, S., Lian, H., & Trevelyan, J. (2013). An Isogeometric Boundary Element Method for elastostatic analysis: 2D implementation aspects. Computers and Structures, 118, 2-12. https://doi.org/10.1016/j.compstruc.2012.12.021

The concept of isogeometric analysis, whereby the parametric functions that are used to describe CAD geometry are also used to approximate the unknown fields in a numerical discretisation, has progressed rapidly in recent years. This paper advances t... Read More about An Isogeometric Boundary Element Method for elastostatic analysis: 2D implementation aspects.

A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions (2013)
Journal Article
Mohamed, M., Seaid, M., Trevelyan, J., & Laghrouche, O. (2013). A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions. International Journal for Numerical Methods in Engineering, 93(3), 245-265. https://doi.org/10.1002/nme.4383

An enriched partition of unity FEM is developed to solve time-dependent diffusion problems. In the present formulation, multiple exponential functions describing the spatial and temporal diffusion decay are embedded in the finite element approximatio... Read More about A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions.