Operator splitting for the bidomain model revisited

DOI10.1016/j.cam.2015.09.015zbMath1341.78025OpenAlexW1796812603MaRDI QIDQ898977

Raymond J. Spiteri, Saeed Torabi Ziaratgahi

Publication date: 21 December 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.09.015

zbMATH Keywords

finite element methoderror boundsoperator splittingpartial differential equationsreaction diffusion equationbidomain modelsemi-implicit methodheart activity

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Biological applications of optics and electromagnetic theory (78A70) Medical applications (general) (92C50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) 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)

Related Items (5)

An explicit local space-time adaptive framework for monodomain models in cardiac electrophysiology ⋮ High-Order Operator Splitting for the Bidomain and Monodomain Models ⋮ A comparison of fourth-order operator splitting methods for cardiac simulations ⋮ Direct Function Evaluation versus Lookup Tables: When to Use Which? ⋮ Gating-enhanced IMEX splitting methods for cardiac monodomain simulation

Uses Software

• Chaste
• CellML
• Nektar++

Cites Work

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• Chaste: A test-driven approach to software development for biological modelling
• Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
• The significant effect of the choice of ionic current integration method in cardiac electro-physiological simulations
• Semi-Implicit Time-Discretization Schemes for the Bidomain Model
• Negative Norm Estimates and Superconvergence in Galerkin Methods for Parabolic Problems
• Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations
• Computing the Electrical Activity in the Heart
• Galerkin Finite Element Methods for Parabolic Problems
• On the Construction and Comparison of Difference Schemes

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