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math.NA2017
Analysis of time-stepping methods for the monodomain model
Thomas Roy, Yves Bourgault, Charles Pierre
To a large extent, the stiffness of the bidomain and monodomain models depends on the choice of the ionic model, which varies in terms of complexity and realism. In this paper, we…
math.NA2017
Anisotropic space-time adaptation for reaction-diffusion problems
Edward Boey, Yves Bourgault, Thierry Giordano
A residual error estimator is proposed for the energy norm of the error for a scalar reaction-diffusion problem and for the monodomain model used in cardiac electrophysiology. The…