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High-order spectral/hp element discretisation for reaction–diffusion problems on surfaces: Application to cardiac electrophysiology
2014
Journal of Computational Physics
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 computational cost of
doi:10.1016/j.jcp.2013.10.019
pmid:24748685
pmcid:PMC3991332
fatcat:zint4dq3andu3ogz4tk2becguu