Numerical analysis of finite element methods for the cardiac extracellular-membrane-intracellular model: Steklov–Poincaré operator and spatial error estimates
DOI10.1051/m2an/2023052zbMath1529.65064OpenAlexW4385648137MaRDI QIDQ6050041
Yves Bourgault, Unnamed Author
Publication date: 18 September 2023
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2023052
numerical methodsSteklov-Poincaré operatorcardiac electrophysiologymanufactured solutionextracellular-membrane-intracellular modelsemi-implicit backward differentiation formula
Reaction-diffusion equations (35K57) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Cell biology (92C37) Physiological flow (92C35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A two-current model for the dynamics of cardiac membrane
- Ephaptic coupling of cardiac cells through the junctional electric potential
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- A numerical method for cellular electrophysiology based on the electrodiffusion equations with internal boundary conditions at membranes
- Theory and practice of finite elements.
- Implicit-explicit methods for reaction-diffusion problems in pattern formation
- Mathematical cardiac electrophysiology
- Reaction–diffusion systems for the microscopic cellular model of the cardiac electric field
- Stability of implicit and implicit–explicit multistep methods for nonlinear parabolic equations
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- Modeling Excitable Tissue
- Computing the Electrical Activity in the Heart
- Galerkin Finite Element Methods for Parabolic Problems
This page was built for publication: Numerical analysis of finite element methods for the cardiac extracellular-membrane-intracellular model: Steklov–Poincaré operator and spatial error estimates
