Jonathan Trevelyan's Outputs (4)

Hybrid nearly singular integration for isogeometric boundary element analysis of coatings and other thin 2D structures (2018)
Journal Article
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

We present an isogeometric boundary element method (IGABEM) capable of delivering accurate and efficient solutions in the heat transfer analysis of 2D coated structures such as those commonly found in turbomachinery. Although we consider very thin co... Read More about Hybrid nearly singular integration for isogeometric boundary element analysis of coatings and other thin 2D structures.

Bernstein - Bézier based finite elements for efficient solution of short wave problems (2018)
Journal Article
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

In this work, the Bernstein-Bézier Finite Element Method (BBFEM) is implemented to solve short wave problems governed by the Helmholtz equation on unstructured triangular mesh grids. As for the hierarchical Finite Element (FE) approach, this high ord... Read More about Bernstein - Bézier based finite elements for efficient solution of short wave problems.

A non-ordinary state-based peridynamics framework for anisotropic materials (2018)
Journal Article
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

Peridynamics (PD) represents a new approach for modelling fracture mechanics, where a continuum domain is modelled through particles connected via physical interactions. This formulation allows us to model crack initiation, propagation, branching and... Read More about A non-ordinary state-based peridynamics framework for anisotropic materials.

Accelerating isogeometric boundary element analysis for 3-dimensional elastostatics problems through black-box fast multipole method with proper generalized decomposition (2018)
Journal Article
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

The isogeometric approach to computational engineering analysis makes use of Non-Uniform Rational B-splines (NURBS) to discretise both the geometry and the analysis field variables, giving a higher fidelity geometric description and leading to improv... Read More about Accelerating isogeometric boundary element analysis for 3-dimensional elastostatics problems through black-box fast multipole method with proper generalized decomposition.