Jonathan Trevelyan's Outputs (6)

Singular enrichment functions for Helmholtz scattering at corner locations using the Boundary Element Method (2019)
Journal Article
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

In this paper we use an enriched approximation space for the efficient and accurate solution of the Helmholtz equation in order to solve problems of wave scattering by polygonal obstacles. This is implemented in both Boundary Element Method (BEM) and... Read More about Singular enrichment functions for Helmholtz scattering at corner locations using the Boundary Element Method.

The Boundary Element Method Applied to the Solution of the Anomalous Diffusion Problem (2019)
Journal Article
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

A Boundary Element Method formulation is developed for the solution of the two-dimensional anomalous diffusion equation. Initially, the Riemann–Liouville Fractional derivative is applied on both sides of the partial differential equation (PDE), thus... Read More about The Boundary Element Method Applied to the Solution of the Anomalous Diffusion Problem.

Enhanced Conformal Perfectly Matched Layers for Bernstein-Bezier Finite Element Modelling of Short Wave Scattering (2019)
Journal Article
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

The aim of this paper is to accurately solve short wave scattering problems governed by the Helmholtz equation using the Bernstein-Bezier Finite Element method (BBFEM), combined with a conformal perfectly matched layer (PML). Enhanced PMLs, where cur... Read More about Enhanced Conformal Perfectly Matched Layers for Bernstein-Bezier Finite Element Modelling of Short Wave Scattering.

Discontinuous isogeometric boundary element (IGABEM) formulations in 3D automotive acoustics (2019)
Journal Article
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

The isogeometric boundary element method (IGABEM) is a technique that employs non-uniform rational B-splines (NURBS) as basis functions to discretise the solution variables as well as the problem geometry in a boundary element formulation. IGABEM has... Read More about Discontinuous isogeometric boundary element (IGABEM) formulations in 3D automotive acoustics.

An adaptive SVD-Krylov reduced order model for surrogate based structural shape optimization through isogeometric boundary element method (2019)
Journal Article
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

This work presents an adaptive Singular Value Decomposition (SVD)-Krylov reduced order model to solve structural optimization problems. By utilizing the SVD, it is shown that the solution space of a structural optimization problem can be decomposed i... Read More about An adaptive SVD-Krylov reduced order model for surrogate based structural shape optimization through isogeometric boundary element method.

A solution approach for contact problems based on the dual interpolation boundary face method (2019)
Journal Article
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

The recently proposed dual interpolation boundary face method (DiBFM) has been shown to have a much higher accuracy and improved convergence rates compared with the traditional boundary element method. In addition, the DiBFM has the ability to approx... Read More about A solution approach for contact problems based on the dual interpolation boundary face method.