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BibTex format

@article{Cantwell:2014:10.1016/j.jcp.2013.10.019,
author = {Cantwell, CD and Yakovlev, S and Kirby, RM and Peters, NS and Sherwin, SJ},
doi = {10.1016/j.jcp.2013.10.019},
journal = {Journal of Computational Physics},
pages = {813--829},
title = {High-order spectral/hp element discretisation for reaction-diffusion problems on surfaces: application to cardiac electrophysiology},
url = {http://dx.doi.org/10.1016/j.jcp.2013.10.019},
volume = {257},
year = {2014}
}

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TY  - JOUR
AB  - We present a numerical discretisation of an embedded two-dimensional manifold using high-order continuous Galerkin spectral/hp elements, which provide exponential convergence of the solution with increasing polynomial order, while retaining geometric flexibility in the representation of the domain. Our work is motivated by applications in cardiac electrophysiology where sharp gradients in the solution benefit from the high-order discretisation, while the compu- tational cost of anatomically-realistic models can be reduced through the surface representation. We describe and validate our discretisation and provide a demonstration of its application to modeling electrochemical propagation across a human left atrium.
AU  - Cantwell,CD
AU  - Yakovlev,S
AU  - Kirby,RM
AU  - Peters,NS
AU  - Sherwin,SJ
DO  - 10.1016/j.jcp.2013.10.019
EP  - 829
PY  - 2014///
SN  - 0021-9991
SP  - 813
TI  - High-order spectral/hp element discretisation for reaction-diffusion problems on surfaces: application to cardiac electrophysiology
T2  - Journal of Computational Physics
UR  - http://dx.doi.org/10.1016/j.jcp.2013.10.019
UR  - http://www2.imperial.ac.uk/ssherw/spectralhp/papers/JCP-CaYaKiPeSh_13.pdf
UR  - https://www.sciencedirect.com/science/article/pii/S0021999113006955
UR  - http://hdl.handle.net/10044/1/12907
VL  - 257
ER  -

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Dr Chris Cantwell

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