Abstract
The finite volume method (FVM) has been shown recently to be an effective
method for discretizing the reaction-diffusion equations that govern
wavefront propagation in anisotropic cardiac tissue, as it can naturally
handle both complex geometries and no flux boundary conditions without
the use of ghost nodes. This communication presents an alternative
formulation of FVM for triangle and tetrahedral meshes using the
concept of dual basis. An algorithm based on this form is given that
leads to an efficient computation of the stiffness matrix, facilitating
the incorporation of space adaptive schemes and time varying material
properties into numerical simulations of cardiac dynamics.
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