Convergence of the Galerkin approximation of a degenerate evolution problem in electrocardiology. (English) Zbl 1002.65100
The author examines the convergence and a priori stability estimates for the solution for the problem of the reaction-diffusion system of FitzHugh-Nagumo type describing the behavior of the electrical conduction in an unisotropic cardiac muscle, using Galerkin semidiscrete space approximation.
Reviewer: K.T.S.R.Iyengar (Bangalore)
MSC:
| 65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
| 35K65 | Degenerate parabolic equations |
| 78A70 | Biological applications of optics and electromagnetic theory |
| 65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
| 35K57 | Reaction-diffusion equations |
| 92C10 | Biomechanics |
Keywords:
degenerate evolution problem; electrocardiology; semidiscrete Galerkin method; convergence; stability; reaction-diffusion system of FitzHugh-Nagumo type; electrical conduction; cardiac muscleReferences:
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