Jonathan Trevelyan's Outputs (4)

A NURBS-discontinuous and enriched isogeometric boundary element formulation for two-dimensional fatigue crack growth (2021)
Journal Article
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

A new extended isogeometric boundary element method (XIGABEM) formulation is proposed for simulating multiple fatigue crack propagation in two-dimensional domains. The classical use of NURBS in isogeometric formulations is further extended by repeate... Read More about A NURBS-discontinuous and enriched isogeometric boundary element formulation for two-dimensional fatigue crack growth.

Frequency domain Bernstein-Bezier finite element solver for modelling short waves in elastodynamics (2021)
Journal Article
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

This work presents a high-order Bernstein-Bézier finite element (FE) discretisation to accurately solve time harmonic elastic wave problems on unstructured triangular mesh grids. Although high-order FEs possess many advantages over standard FEs, the... Read More about Frequency domain Bernstein-Bezier finite element solver for modelling short waves in elastodynamics.

A boundary element method formulation based on the Caputo derivative for the solution of the diffusion-wave equation (2021)
Journal Article
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

A boundary element method formulation is developed and validated through the solution of problems governed by the diffusion-wave equation, for which the order of the time derivative, say α, ranges in the interval (1, 2). This fractional time derivati... Read More about A boundary element method formulation based on the Caputo derivative for the solution of the diffusion-wave equation.

A well simulator for homogeneous reservoirs based on formulations of the isogeometric boundary element method (2021)
Journal Article
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

The development of a simulator for homogeneous reservoirs with application in producer wells (represented by a sink) and the aquifer analysis is obtained by combining the Boundary Element Method (BEM), the Isogeometric Formulation using NURBS (Non Un... Read More about A well simulator for homogeneous reservoirs based on formulations of the isogeometric boundary element method.