Finite element apriori error estimate for a class of Cardiac Electric models

2019/02/02 by Meena Pargaei, Pargaei, Meena, B. V. Rathish Kumar +1
Decision Sciences · Medicine · Physics and Astronomy · #Analysis of PDEs (math.AP) #Cardiac electrophysiology and arrhythmias #FOS: Mathematics #Model Reduction and Neural Networks #Probabilistic and Robust Engineering Design

paper · pdf · doi:10.48550/arxiv.1902.00727

openalex publication_date 2019/02/02 · openalex created_date 2019/02/21 · openalex updated_date 2026/07/28

Abstract

In this study we derive the Finite element apriori error estimate for the monodomain cardiac electric model in conjunction with the generic form for a class of nonlinear ionic models. The analysis establishes a o(h²+k) space-time convergence. Further the computational realization of the same for different reduced ionic test models is presented.

Related

• A posteriori error estimates for the monodomain model in cardiac\n electrophysiology
• A Virtual Element Method for a Nonlocal FitzHugh-Nagumo Model of Cardiac Electrophysiology
• Asymptotics of conduction velocity restitution in models of electrical excitation in the heart
• Optimal convergence in finite element semi-discrete error analysis of the Doyle-Fuller-Newman model beyond 1D with a novel projection operator
• Efficient high order schemes for stiff ODEs in cardiac electrophysiology