Staff profile

Jon Trevelyan is Emeritus Professor of Engineering. After obtaining his PhD studying transfer function methods for the determination of the dynamic properties of arch dams and working as a graduate civil engineer for Gibb, Jon Trevelyan joined the Computational Mechanics (CM) Group to work on the commercial software BEASY. This was the world-leader in engineering software based on the boundary element method. He stayed with CM for twelve years, seven of which were spent as Vice-President of CM, Inc. in Massachusetts. In 1996 he joined Durham University. From 2007-13 he was the Head of the Mechanics Research Group, and from 2013-17 he was Head of the School of Engineering and Computing Sciences. In 2023 Jon retired and took up Emeritus Professor status. He is no longer able to take on PhD students or postdoctoral researchers.

Jon's research has involved the use of the boundary element method (BEM) in various areas: enriched BEM algorithms for short wave propagation, enriched BEM algorithms for fracture mechanics, fast and interactive methods for stress analysis/re-analysis and topology optimisation. He has also developed enriched finite element algorithms for transient radiation-conduction problems. A common feature of these works is to develop numerical methods, usually through enrichment of one kind or another, to address problems that would be inefficient, inaccurate or insoluble using conventional methods such as those built into commercial software.

• boundary elements
• enriched boundary elements for fracture mechanics
• enriched boundary elements for short wave propagation
• interactive stress analysis software development
• boundary elements and level sets for topology optimisation
• enriched finite elements for transient diffusion problems

Chapter in book

• eXtended Boundary Element Method (XBEM) for Fracture Mechanics and Wave Problems
  Trevelyan, J. (2023). eXtended Boundary Element Method (XBEM) for Fracture Mechanics and Wave Problems. In S. Bordas, A. Menk, & S. Natarajan (Eds.), Partition of Unity Methods (217-248). Wiley

Conference Paper

• A new enriched dual boundary element method for fracture in anisotropic materials
  Hattori, G., & Trevelyan, J. (2015, July). A new enriched dual boundary element method for fracture in anisotropic materials. Presented at 10th UK Conferene on Boundary Integral Methods (UKBIM 2015)., Brighton, UK
• An implicit enrichment approach in the boundary element method framework for stress intensity factors calculation in anisotropic materials
  Hattori, G., Alatawi, I., & Trevelyan, J. (2015, July). An implicit enrichment approach in the boundary element method framework for stress intensity factors calculation in anisotropic materials. Presented at 16th Annual International Conference on Boundary Element and Meshless Techniques., Valencia, Spain
• A direct SIF approach for anisotropic materials using the boundary element method
  Hattori, G., Alatawi, I., & Trevelyan, J. (2015, April). A direct SIF approach for anisotropic materials using the boundary element method. Presented at ACME 2015., Swansea, Wales
• Enriched BEM for fracture in anisotropic materials
  Hattori, G., Sáez, A., Trevelyan, J., & García-Sánchez, F. (2014, July). Enriched BEM for fracture in anisotropic materials. Presented at International Conference on Boundary Element and Meshless Techniques XV, Florence, Italy
• Three-dimensional FE-EFGM adaptive coupling and its applications in the nonlinear adaptive analysis
  Ullah, Z., Augarde, C., & Coombs, W. (2013, December). Three-dimensional FE-EFGM adaptive coupling and its applications in the nonlinear adaptive analysis. Presented at CM13, Durham, UK
• Hyper-Heuristic Structural Optimisation of Conceptual Aircraft Designs
  Allen, J., Coates, G., & Trevelyan, J. (2012, December). Hyper-Heuristic Structural Optimisation of Conceptual Aircraft Designs. Presented at 14th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Indianapolis, IN, USA
• Approaches to Parameter Control for the Optimisation of Conceptual Aircraft Structural Designs
  Allen, J., Coates, G., & Trevelyan, J. (2012, December). Approaches to Parameter Control for the Optimisation of Conceptual Aircraft Structural Designs. Presented at Royal Aeronautical Society 3rd Aircraft Structural Design Conference, Delft, The Netherlands
• Hyper-Heuristic Optimisation for Application to Aircraft Structural Design
  Allen, J., Coates, G., & Trevelyan, J. (2012, December). Hyper-Heuristic Optimisation for Application to Aircraft Structural Design. Presented at 9th ASMO-UK/ISSMO Conference, Cork, Republic of Ireland
• A Theoretical Framework for the Optimisation of the Structural Layout of an Aircraft using Deterministic and Stochastic Optimisation Techniques
  Allen, J., Coates, G., & Trevelyan, J. (2010, December). A Theoretical Framework for the Optimisation of the Structural Layout of an Aircraft using Deterministic and Stochastic Optimisation Techniques. Presented at 8th ASMO-UK/ISSMO Conference, London, UK
• A q-adaptive partition of unity finite element method for the solution of the 2D Helmholtz equation.
  Mohamed, M., Laghrouche, O., & Trevelyan, J. (2010, July). A q-adaptive partition of unity finite element method for the solution of the 2D Helmholtz equation. Presented at 9th World Congress on Computational Mechanics and 4th Asian Pacific Congress on Computational Mechanics, Sydney, Australia
• Efficient Calculation of Stress Intensity Factors using a Coupled BEM-SBFEM Algorithm.
  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
• Rapid re-analysis in BEM elastostatic calculations.
  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.
  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.
  Wen, J., & Trevelyan, J. (2005, December). Tuning of parameters guiding B-spline based ESO optimisation with boundary elements. Presented at UKBIM 5, Liverpool, England
• Acceleration of boundary element computations in reanalysis of problems in elasticity.
  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
• Experiments in adaptive selection of plane wave basis directions for wave boundary elements.
  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

Journal Article

• Fatigue growth modelling of three-dimensional cracks with the extended isogeometric boundary element method
  Rocha, M., Trevelyan, J., & Leonel, E. D. (2025). Fatigue growth modelling of three-dimensional cracks with the extended isogeometric boundary element method. Engineering Analysis with Boundary Elements, 177, Article 106263. https://doi.org/10.1016/j.enganabound.2025.106263
• 3D isogeometric indirect BEM solution based on virtual surface sources on the boundaries of Helmholtz acoustic problems
  Shaaban, A. M., Trevelyan, J., & Rabczuk, T. (2024). 3D isogeometric indirect BEM solution based on virtual surface sources on the boundaries of Helmholtz acoustic problems. Engineering with Computers, 40(4), 2681-2702. https://doi.org/10.1007/s00366-023-01933-5
• An extended isogeometric boundary element formulation for three-dimensional linear elastic fracture mechanics
  Rocha, M., Trevelyan, J., & Leonel, E. D. (2024). An extended isogeometric boundary element formulation for three-dimensional linear elastic fracture mechanics. Computer Methods in Applied Mechanics and Engineering, 423, Article 116872. https://doi.org/10.1016/j.cma.2024.116872
• Direct evaluation of stress intensity factors and T-stress for bimaterial interface cracks using the extended isogeometric boundary element method
  Andrade, H., Trevelyan, J., & Leonel, E. (2023). Direct evaluation of stress intensity factors and T-stress for bimaterial interface cracks using the extended isogeometric boundary element method. Theoretical and Applied Fracture Mechanics, 127, Article 104091. https://doi.org/10.1016/j.tafmec.2023.104091
• The solution of the wave-diffusion equation by a Caputo derivative-based Finite Element Method formulation
  Correa, R., Carrer, J., Solheid, B., Trevelyan, J., Arndt, M., & Machado, R. (2023). The solution of the wave-diffusion equation by a Caputo derivative-based Finite Element Method formulation. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 45(5), Article 261. https://doi.org/10.1007/s40430-023-04175-0
• An isogeometric boundary element formulation for stress concentration problems in couple stress elasticity
  Hattori, G., Trevelyan, J., & Gourgiotis, P. (2023). An isogeometric boundary element formulation for stress concentration problems in couple stress elasticity. Computer Methods in Applied Mechanics and Engineering, 407, Article 115932. https://doi.org/10.1016/j.cma.2023.115932
• A boundary element method formulation based on the Caputo derivative for the solution of the diffusion-wave equation
  Carrer, J., Solheid, B., Trevelyan, J., & Seaid, M. (2022). A boundary element method formulation based on the Caputo derivative for the solution of the diffusion-wave equation. Engineering with Computers, 38(Suppl 4), 3563–3580. https://doi.org/10.1007/s00366-021-01480-x
• An isogeometric boundary element method for heat transfer problems of multiscale structures in electronic packaging with arbitrary heat sources
  Gong, Y., Chin, F., Dong, C., & Trevelyan, J. (2022). An isogeometric boundary element method for heat transfer problems of multiscale structures in electronic packaging with arbitrary heat sources. Applied Mathematical Modelling, 109, 161-185. https://doi.org/10.1016/j.apm.2022.03.047
• Analysis of 2D contact problems under cyclic loads using IGABEM with Bezier decomposition
  Loyola, F., Doca, T., Campos, L., Trevelyan, J., & Albuquerque, E. (2022). Analysis of 2D contact problems under cyclic loads using IGABEM with Bezier decomposition. Engineering Analysis with Boundary Elements, 139, 246-263. https://doi.org/10.1016/j.enganabound.2022.03.017
• The solution of the anomalous diffusion equation by a Finite Element Method based on the Caputo derivative
  Correa, R., Carrer, J., Solheid, B., & Trevelyan, J. (2022). The solution of the anomalous diffusion equation by a Finite Element Method based on the Caputo derivative. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 44(6), Article 250. https://doi.org/10.1007/s40430-022-03544-5
• Frequency domain Bernstein-Bezier finite element solver for modelling short waves in elastodynamics
  Benatia, N., El Kacimi, A., Laghrouche, O., El Alaoui, M., & Trevelyan, J. (2022). Frequency domain Bernstein-Bezier finite element solver for modelling short waves in elastodynamics. Applied Mathematical Modelling, 102, 115-136. https://doi.org/10.1016/j.apm.2021.09.034
• A NURBS-discontinuous and enriched isogeometric boundary element formulation for two-dimensional fatigue crack growth
  Andrade, H., Trevelyan, J., & Leonel, E. (2022). A NURBS-discontinuous and enriched isogeometric boundary element formulation for two-dimensional fatigue crack growth. Engineering Analysis with Boundary Elements, 134, 259-281. https://doi.org/10.1016/j.enganabound.2021.09.019
• Quadrature methods for highly oscillatory singular integrals
  Gao, J., Condon, M., Iserles, A., Gilvey, B., & Trevelyan, J. (2021). Quadrature methods for highly oscillatory singular integrals. Journal of computational mathematics, 39(2), 227-260. https://doi.org/10.4208/jcm.1911-m2019-0044
• A comparison of high-order and plane wave enriched boundary element basis functions for Helmholtz problems
  Gilvey, B., & Trevelyan, J. (2021). A comparison of high-order and plane wave enriched boundary element basis functions for Helmholtz problems. Engineering Analysis with Boundary Elements, 122, 190-201. https://doi.org/10.1016/j.enganabound.2020.10.008
• A well simulator for homogeneous reservoirs based on formulations of the isogeometric boundary element method
  Nascimento, L., Gontijo, G., Albuquerque, E., Campos, L., Trevelyan, J., & Fortaleza, E. (2021). A well simulator for homogeneous reservoirs based on formulations of the isogeometric boundary element method. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 43, Article 206. https://doi.org/10.1007/s40430-021-02924-7
• A boundary element method formulation based on the Caputo derivative for the solution of the anomalous diffusion problem
  Carrer, J., Solheid, B., Trevelyan, J., & Seaid, M. (2021). A boundary element method formulation based on the Caputo derivative for the solution of the anomalous diffusion problem. Engineering Analysis with Boundary Elements, 122, 132-144. https://doi.org/10.1016/j.enganabound.2020.10.017
• The Boundary Element Method applied to the solution of the Diffusion-Wave problem
  Carrer, J., Solheid, B., Trevelyan, J., & Seaid, M. (2020). The Boundary Element Method applied to the solution of the Diffusion-Wave problem. Engineering Analysis with Boundary Elements, 117, 13-25. https://doi.org/10.1016/j.enganabound.2020.03.027
• Hybrid nearly singular integration for three-dimensional isogeometric boundary element analysis of coatings and other thin structures
  Gong, Y., Dong, C., Qin, F., Hattori, G., & Trevelyan, J. (2020). Hybrid nearly singular integration for three-dimensional isogeometric boundary element analysis of coatings and other thin structures. Computer Methods in Applied Mechanics and Engineering, 367, Article 113099. https://doi.org/10.1016/j.cma.2020.113099
• Singular enrichment functions for Helmholtz scattering at corner locations using the Boundary Element Method
  Gilvey, B., Trevelyan, J., & Hattori, G. (2020). Singular enrichment functions for Helmholtz scattering at corner locations using the Boundary Element Method. International Journal for Numerical Methods in Engineering, 121(3), 519-533. https://doi.org/10.1002/nme.6232
• The Boundary Element Method Applied to the Solution of the Anomalous Diffusion Problem
  Carrer, J., Seaid, M., Trevelyan, J., & Solheid, B. (2019). The Boundary Element Method Applied to the Solution of the Anomalous Diffusion Problem. Engineering Analysis with Boundary Elements, 109, 129-142. https://doi.org/10.1016/j.enganabound.2019.09.016
• Enhanced Conformal Perfectly Matched Layers for Bernstein-Bezier Finite Element Modelling of Short Wave Scattering
  El-Kacimi, A., Laghrouche, O., Ouazar, D., Mohamed, M., Seaid, M., & Trevelyan, J. (2019). Enhanced Conformal Perfectly Matched Layers for Bernstein-Bezier Finite Element Modelling of Short Wave Scattering. Computer Methods in Applied Mechanics and Engineering, 355, 614-638. https://doi.org/10.1016/j.cma.2019.06.032
• Bernstein - Bézier based finite elements for efficient solution of short wave problems
  El Kacimi, A., Laghrouche, O., Mohamed, M., & Trevelyan, J. (2019). Bernstein - Bézier based finite elements for efficient solution of short wave problems. Computer Methods in Applied Mechanics and Engineering, 343, 166-185. https://doi.org/10.1016/j.cma.2018.07.040
• Discontinuous isogeometric boundary element (IGABEM) formulations in 3D automotive acoustics
  Sun, Y., Trevelyan, J., Hattori, G., & Lu, C. (2019). Discontinuous isogeometric boundary element (IGABEM) formulations in 3D automotive acoustics. Engineering Analysis with Boundary Elements, 105, 303-311. https://doi.org/10.1016/j.enganabound.2019.04.011
• A solution approach for contact problems based on the dual interpolation boundary face method
  Zhang, J., Shu, X., Trevelyan, J., Lin, W., & Chai, P. (2019). A solution approach for contact problems based on the dual interpolation boundary face method. Applied Mathematical Modelling, 70, 643-658. https://doi.org/10.1016/j.apm.2019.02.013
• An adaptive SVD-Krylov reduced order model for surrogate based structural shape optimization through isogeometric boundary element method
  Li, S., Trevelyan, J., Wu, Z., Lian, H., & Zhang, W. (2019). An adaptive SVD-Krylov reduced order model for surrogate based structural shape optimization through isogeometric boundary element method. Computer Methods in Applied Mechanics and Engineering, 349, 312-338. https://doi.org/10.1016/j.cma.2019.02.023
• Hybrid nearly singular integration for isogeometric boundary element analysis of coatings and other thin 2D structures
  Gong, Y., Trevelyan, J., Hattori, G., & Dong, C. (2019). Hybrid nearly singular integration for isogeometric boundary element analysis of coatings and other thin 2D structures. Computer Methods in Applied Mechanics and Engineering, 346, 642-673. https://doi.org/10.1016/j.cma.2018.12.019
• A non-ordinary state-based peridynamics framework for anisotropic materials
  Hattori, G., Trevelyan, J., & Coombs, W. (2018). A non-ordinary state-based peridynamics framework for anisotropic materials. Computer Methods in Applied Mechanics and Engineering, 339, 416-442. https://doi.org/10.1016/j.cma.2018.05.007
• Accelerating isogeometric boundary element analysis for 3-dimensional elastostatics problems through black-box fast multipole method with proper generalized decomposition
  Li, S., Trevelyan, J., Zhang, W., & Wang, D. (2018). Accelerating isogeometric boundary element analysis for 3-dimensional elastostatics problems through black-box fast multipole method with proper generalized decomposition. International Journal for Numerical Methods in Engineering, 114(9), 975-998. https://doi.org/10.1002/nme.5773
• High-order finite elements for the solution of Helmholtz problems
  Christodoulou, K., Laghrouche, O., Mohamed, M., & Trevelyan, J. (2017). High-order finite elements for the solution of Helmholtz problems. Computers and Structures, 191, 129-139. https://doi.org/10.1016/j.compstruc.2017.06.010
• Implementation and computational aspects of a 3D elastic wave modelling by PUFEM
  Mahmood, M., Laghrouche, O., Trevelyan, J., & El Kacimi, A. (2017). Implementation and computational aspects of a 3D elastic wave modelling by PUFEM. Applied Mathematical Modelling, 49, 568-586. https://doi.org/10.1016/j.apm.2017.05.013
• Numerical Simulation of MZF Design with Non-planar Hydraulic Fracturing from Multi-lateral Horizontal Wells
  Sobhaniaragh, B., Trevelyan, J., Mansur, W., & Peters, F. (2017). Numerical Simulation of MZF Design with Non-planar Hydraulic Fracturing from Multi-lateral Horizontal Wells. Journal of Natural Gas Science and Engineering, 46, 93-107. https://doi.org/10.1016/j.jngse.2017.07.005
• A boundary element and level set based bi-directional evolutionary structural optimisation with a volume constraint
  Ullah, B., Trevelyan, J., & Islam, S. (2017). A boundary element and level set based bi-directional evolutionary structural optimisation with a volume constraint. Engineering Analysis with Boundary Elements, 80, 152-161. https://doi.org/10.1016/j.enganabound.2017.02.012
• Enriched finite elements for initial-value problem of transverse electromagnetic waves in time domain
  Drolia, M., Mohamed, M., Laghrouche, O., Seaid, M., & Trevelyan, J. (2017). Enriched finite elements for initial-value problem of transverse electromagnetic waves in time domain. Computers and Structures, 182, 354-367. https://doi.org/10.1016/j.compstruc.2016.11.011
• Numerical simulation of fracking in shale rocks: current state and future approaches
  Hattori, G., Trevelyan, J., Augarde, C., Coombs, W., & Aplin, A. (2017). Numerical simulation of fracking in shale rocks: current state and future approaches. Archives of Computational Methods in Engineering, 24(2), 281-317. https://doi.org/10.1007/s11831-016-9169-0
• An extended boundary element method formulation for the direct calculation of the stress intensity factors in fully anisotropic materials
  Hattori, G., Alatawi, I., & Trevelyan, J. (2017). An extended boundary element method formulation for the direct calculation of the stress intensity factors in fully anisotropic materials. International Journal for Numerical Methods in Engineering, 109(7), 965-981. https://doi.org/10.1002/nme.5311
• A boundary element and level set based topology optimisation using sensitivity analysis
  Ullah, B., & Trevelyan, J. (2016). A boundary element and level set based topology optimisation using sensitivity analysis. Engineering Analysis with Boundary Elements, 70, 80-98. https://doi.org/10.1016/j.enganabound.2016.06.001
• Backward waves with double zero-group-velocity points in a liquid-filled pipe
  Cui, H., Lin, W., Zhang, H., Wang, X., & Trevelyan, J. (2016). Backward waves with double zero-group-velocity points in a liquid-filled pipe. The Journal of the Acoustical Society of America, 139(3), 1179-1194. https://doi.org/10.1121/1.4944046
• A three-dimensional implementation of the boundary element and level set based structural optimisation
  Ullah, B., Trevelyan, J., & Ivrissimtzis, I. (2015). A three-dimensional implementation of the boundary element and level set based structural optimisation. Engineering Analysis with Boundary Elements, 58, 176-194. https://doi.org/10.1016/j.enganabound.2015.04.005
• Interactive three-dimensional boundary element stress analysis of components in aircraft structures
  Foster, T., Mohamed, M., Trevelyan, J., Coates, G., Spence, S., & Walker, S. (2015). Interactive three-dimensional boundary element stress analysis of components in aircraft structures. Engineering Analysis with Boundary Elements, 56, 190-200. https://doi.org/10.1016/j.enganabound.2015.01.017
• A direct evaluation of stress intensity factors using the Extended Dual Boundary Element Method
  Alatawi, I., & Trevelyan, J. (2015). A direct evaluation of stress intensity factors using the Extended Dual Boundary Element Method. Engineering Analysis with Boundary Elements, 52, 56-63. https://doi.org/10.1016/j.enganabound.2014.11.022
• Extended isogeometric boundary element method (XIBEM) for three-dimensional medium-wave acoustic scattering problems
  Peake, M., Trevelyan, J., & Coates, G. (2015). Extended isogeometric boundary element method (XIBEM) for three-dimensional medium-wave acoustic scattering problems. Computer Methods in Applied Mechanics and Engineering, 284, 762-780. https://doi.org/10.1016/j.cma.2014.10.039
• Mixed enrichment for the finite element method in heterogeneous media
  Diwan, G., Mohamed, M., Seaid, M., Trevelyan, J., & Laghrouche, O. (2015). Mixed enrichment for the finite element method in heterogeneous media. International Journal for Numerical Methods in Engineering, 101(1), 54-78. https://doi.org/10.1002/nme.4795
• Boundary element simulation of fatigue crack growth in multi-site damage
  Price, R., & Trevelyan, J. (2014). Boundary element simulation of fatigue crack growth in multi-site damage. Engineering Analysis with Boundary Elements, 43, 67-75. https://doi.org/10.1016/j.enganabound.2014.03.002
• Structural optimisation based on the boundary element and level set methods
  Ullah, B., Trevelyan, J., & Matthews, P. (2014). Structural optimisation based on the boundary element and level set methods. Computers and Structures, 137, 14-30. https://doi.org/10.1016/j.compstruc.2014.01.004
• Dynamically-controlled variable-fidelity modelling for aircraft structural design optimisation
  Allen, J., Coates, G., & Trevelyan, J. (2014). Dynamically-controlled variable-fidelity modelling for aircraft structural design optimisation. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 228(8), 1434-1449. https://doi.org/10.1177/0954410013493074
• Characteristics of group velocities of backward waves in a hollow cylinder
  Cui, H., Lin, W., Zhang, H., Wang, X., & Trevelyan, J. (2014). Characteristics of group velocities of backward waves in a hollow cylinder. The Journal of the Acoustical Society of America, 135(6), 3398-3408. https://doi.org/10.1121/1.4872297
• An enriched finite element model with q-refinement for radiative boundary layers in glass cooling
  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
• The equal spacing of N points on a sphere with application to partition-of-unity wave diffraction problems
  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
• A comparison of techniques for overcoming non-uniqueness of boundary integral equations for the collocation partition of unity method in two dimensional acoustic scattering
  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
• Correlation between hole insertion criteria in a boundary element and level set based topology optimisation method
  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
• Time-independent hybrid enrichment for finite element solution of transient conduction–radiation in diffusive grey media
  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
• A hyper-heuristic approach to aircraft structural design optimization
  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
• Improving wind turbine drivetrain bearing reliability through pre-misalignment
  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
• Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems
  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
• An Isogeometric Boundary Element Method for elastostatic analysis: 2D implementation aspects
  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
• A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions
  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
• Bearing currents in wind turbine generators
  Whittle, M., Trevelyan, J., & Tavner, P. (2013). Bearing currents in wind turbine generators. Journal of Renewable and Sustainable Energy, 5, Article 053128. https://doi.org/10.1063/1.4822048
• Novel basis functions for the partition of unity boundary element method for Helmholtz problems
  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
• Rapid re-meshing and re-solution of three-dimensional boundary element problems for interactive stress analysis
  Foster, T., Mohamed, M., Trevelyan, J., & Coates, G. (2012). Rapid re-meshing and re-solution of three-dimensional boundary element problems for interactive stress analysis. Engineering Analysis with Boundary Elements, 36(9), 1331-1343. https://doi.org/10.1016/j.enganabound.2012.02.020
• Extension of the PUFEM to elastic wave propagation in layered media.
  Laghrouche, O., El-Kacimi, A., & Trevelyan, J. (2012). Extension of the PUFEM to elastic wave propagation in layered media. Journal of computational acoustics (Singapore.Online), 20(02), 1240006-1. https://doi.org/10.1142/s0218396x12400061
• Excitation mechanisms and dispersion characteristics of guided waves in multilayered cylindrical solid media.
  Cui, H., Zhang, B., Johnstone, S., & Trevelyan, J. (2012). Excitation mechanisms and dispersion characteristics of guided waves in multilayered cylindrical solid media. The Journal of the Acoustical Society of America, 131(3), 2048-2062. https://doi.org/10.1121/1.3682033
• A two-dimensional Isogeometric Boundary Element Method for elastostatic analysis.
  Simpson, R., Bordas, S., Trevelyan, J., & Rabczuk, T. (2012). A two-dimensional Isogeometric Boundary Element Method for elastostatic analysis. Computer Methods in Applied Mechanics and Engineering, 209-212, 87-100. https://doi.org/10.1016/j.cma.2011.08.008
• A partition of unity enriched dual boundary element method for accurate computations in fracture mechanics
  Simpson, R., & Trevelyan, J. (2011). A partition of unity enriched dual boundary element method for accurate computations in fracture mechanics. Computer Methods in Applied Mechanics and Engineering, 200(1-4), 1-10. https://doi.org/10.1016/j.cma.2010.06.015
• Evaluation of J1 and J2 integrals for curved cracks using an enriched Boundary Element Method
  Simpson, R., & Trevelyan, J. (2011). Evaluation of J1 and J2 integrals for curved cracks using an enriched Boundary Element Method. Engineering Fracture Mechanics, 78(4), 623-637. https://doi.org/10.1016/j.engfracmech.2010.12.006
• Anomalous dispersion of flexural guided waves in clad rods.
  Cui, H., Trevelyan, J., & Johnstone, S. (2011). Anomalous dispersion of flexural guided waves in clad rods. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 58(7), 1525-1528. https://doi.org/10.1109/tuffc.2011.1971
• Stoneley waves in three-layered cylindrical solid media.
  Cui, H., Trevelyan, J., & Johnstone, S. (2011). Stoneley waves in three-layered cylindrical solid media. The Journal of the Acoustical Society of America, 130(1), EL44-49. https://doi.org/10.1121/1.3601883
• A coupled BEM/Scaled Boundary FEM formulation for accurate computations in linear elastic fracture mechanics
  Bird, G., Trevelyan, J., & Augarde, C. (2010). A coupled BEM/Scaled Boundary FEM formulation for accurate computations in linear elastic fracture mechanics. Engineering Analysis with Boundary Elements, 34(6), 599-610. https://doi.org/10.1016/j.enganabound.2010.01.007
• A comparison of NRBCs for PUFEM in 2D Helmholtz problems at high wave numbers
  Laghrouche, O., El-Kacimi, A., & Trevelyan, J. (2010). A comparison of NRBCs for PUFEM in 2D Helmholtz problems at high wave numbers. Journal of Computational and Applied Mathematics, 234(6), https://doi.org/10.1016/j.cam.2009.08.014
• On adaptive definition of the plane wave basis for wave boundary elements in acoustic scattering: the 2D case
  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
• Numerical evaluation of two-dimensional partition of unity boundary integrals for Helmholtz problems.
  Honnor, M., Trevelyan, J., & Huybrechs, D. (2010). Numerical evaluation of two-dimensional partition of unity boundary integrals for Helmholtz problems. Journal of Computational and Applied Mathematics, 234(6), 1656-1662. https://doi.org/10.1016/j.cam.2009.08.012
• A numerical coordinate transformation for efficient evaluation of oscillatory integrals over wave boundary elements.
  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
• An integration scheme for electromagnetic scattering using plane wave edge elements
  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
  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
• Development of an instrumented pole test for use as a gait laboratory quality check
  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
• Techniques to accelerate BEM computation to provide virtual reality update of stress solutions
  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
• Evolutionary structural optimisation based on boundary representation of NURBS: Part I: 2D algorithms.
  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
• Evolutionary structural optimisation based on boundary representation of NURBS: Part II: 3D algorithms.
  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
• Wave interpolation finite elements for Helmholtz problems with jumps in the wave speed
  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
• On wave boundary elements for radiation and scattering problems with piecewise constant impedance
  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
• Plane-wave basis finite elements and boundary elements for three-dimensional wave scattering
  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
• Wave boundary elements : a theoretical overview presenting applications in scattering of short waves
  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
• P-wave and S-wave decomposition in boundary integral equation for plane elastodynamic problems.
  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.
  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
• Use of wave boundary elements for acoustic computations.
  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
• Plane wave interpolation in direct collocation boundary element method for radiation and wave scattering : numerical aspects and applications
  Perrey-Debain, E., Trevelyan, J., & Bettess, P. (2003). Plane wave interpolation in direct collocation boundary element method for radiation and wave scattering : numerical aspects and applications. Journal of Sound and Vibration, 261(5), 839-858. https://doi.org/10.1016/s0022-460x%2802%2901006-4
• A numerical integration scheme for special quadrilateral finite elements for the Helmholtz equation.
  Sugimoto, R., Bettess, P., & Trevelyan, J. (2003). A numerical integration scheme for special quadrilateral finite elements for the Helmholtz equation. Communications in numerical methods in engineering, 19(3), 233-245
• A numerical integration scheme for special finite elements for the Helmholtz equation.
  Bettess, P., Shirron, J., Laghrouche, O., Peseux, B., Sugimoto, R., & Trevelyan, J. (2003). A numerical integration scheme for special finite elements for the Helmholtz equation. International Journal for Numerical Methods in Engineering, 56(4), 531-552
• A scheme for engineer-driven mechanical design improvement.
  Trevelyan, J., Wang, P., & Walker, S. (2002). A scheme for engineer-driven mechanical design improvement. Engineering Analysis with Boundary Elements, 26(5), 425-433
• New special wave boundary elements for short wave problems.
  Perrey-Debain, E., Trevelyan, J., & Bettess, P. (2002). New special wave boundary elements for short wave problems. Communications in numerical methods in engineering, 18(4), 259-268
• Interactive re-analysis in mechanical design evolution: Part I: Background and implementation.
  Trevelyan, J., & Wang, P. (2001). Interactive re-analysis in mechanical design evolution: Part I: Background and implementation. Computers and Structures, 79(9), 929-938
• Interactive re-analysis in mechanical design evolution: Part II: Rapid evaluation of boundary element integrals.
  Trevelyan, J., & Wang, P. (2001). Interactive re-analysis in mechanical design evolution: Part II: Rapid evaluation of boundary element integrals. Computers and Structures, 79(9), 939-951