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<p>A numerical framework is developed for the analysis of a parameterized bidomain model in cardiac electrophysiology. Convergence to a weak solution is established through the derivation of appropriate a priori bounds, thereby proving the existence of a bounded weak solution to the problem. Numerical experiments validate the accuracy and robustness of the method, showcasing its effectiveness in accurately capturing the dynamics of electrical wave propagation in cardiac tissue.</p>

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Control Volume Finite Elements Scheme for a Nonlinear Cardiac Electrophysiology Model

  • 期刊论文

  • 发表日期：

    2026年1月19日

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  • Hicham El Moutaouakil,
  • Mohamed Rhoudaf

摘要

A numerical framework is developed for the analysis of a parameterized bidomain model in cardiac electrophysiology. Convergence to a weak solution is established through the derivation of appropriate a priori bounds, thereby proving the existence of a bounded weak solution to the problem. Numerical experiments validate the accuracy and robustness of the method, showcasing its effectiveness in accurately capturing the dynamics of electrical wave propagation in cardiac tissue.