A positive cell vertex Godunov scheme for a Beeler–Reuter based model of cardiac electrical activity
DOI10.1002/num.22528OpenAlexW3081252991MaRDI QIDQ6088450
Mostafa Bendahmane, Fatima Mroue, Mazen Saad
Publication date: 14 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22528
Biological applications of optics and electromagnetic theory (78A70) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Physiology (general) (92C30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Weak solutions to PDEs (35D30) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)
Cites Work
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- Stability and convergence of a finite volume method for two systems of reaction-diffusion equations in electro-cardiology
- A finite volume scheme for cardiac propagation in media with isotropic conductivities
- Convergence of a finite volume scheme for the bidomain model of cardiac tissue
- Quasilinear elliptic-parabolic differential equations
- Mathematical physiology
- Convergence of discrete duality finite volume schemes for the cardiac bidomain model
- Unfolding homogenization method applied to physiological and phenomenological bidomain models in electrocardiology
- Integrated heart -- coupling multiscale and multiphysics models for the simulation of the cardiac function
- A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs
- Convergence of a nonlinear entropy diminishing Control Volume Finite Element scheme for solving anisotropic degenerate parabolic equations
- On the convergence of a combined finite volume-finite element method for nonlinear convection-diffusion problems
- The Finite Volume Element Method for Diffusion Equations on General Triangulations
- Reaction–diffusion systems for the microscopic cellular model of the cardiac electric field
- Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes
- On the convergence of a combined finite volume-finite element method for nonlinear convection-diffusion problems. Explicit schemes
- Convergence d'un schéma de type éléments finis-volumes finis pour un système formé d'une équation elliptique et d'une équation hyperbolique
- The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications
- Positive nonlinear CVFE scheme for degenerate anisotropic Keller-Segel system
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