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 -