2 citations · 2 across the 1 of their papers we have counts for
5 papers
The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects
Libo Feng, Ian Turner, Patrick Perre +1
In this work, a two-dimensional time-fractional subdiffusion model is developed to investigate the underlying transport phenomena evolving in a binary medium comprised of two sub-d…
Homogenisation for the monodomain model in the presence of microscopic fibrotic structures
Brodie A. J. Lawson, Rodrigo Weber dos Santos, Ian W. Turner +3
Computational models in cardiac electrophysiology are notorious for long runtimes, restricting the numbers of nodes and mesh elements in the numerical discretisations used for thei…
High-order numerical methods for the Riesz space fractional advection-dispersion equations
Libo Feng, Pinghui Zhuang, Fawang Liu +2
In this paper, we propose high-order numerical methods for the Riesz space fractional advection-dispersion equations (RSFADE) on a {f}inite domain. The RSFADE is obtained from the…
Efficient Bayesian synthetic likelihood with whitening transformations
Jacob W. Priddle, Scott A. Sisson, David T. Frazier +1
Likelihood-free methods are an established approach for performing approximate Bayesian inference for models with intractable likelihood functions. However, they can be computation…
A fast algorithm for semi-analytically solving the homogenization boundary value problem for block locally-isotropic heterogeneous media
Nathan G. March, Elliot J. Carr, Ian W. Turner
Direct numerical simulation of diffusion through heterogeneous media can be difficult due to the computational cost of resolving fine-scale heterogeneities. One method to overcome…