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

## TL;DR

This paper derives a finite element a priori error estimate for the monodomain cardiac electric model coupled with nonlinear ionic models, demonstrating space-time convergence and providing computational results for various ionic models.

## Contribution

It introduces a novel finite element error analysis for cardiac electric models with nonlinear ionic dynamics, establishing convergence rates and computational validation.

## Key findings

- Achieves $o(h^2+k)$ space-time convergence rate.
- Provides computational results for different ionic models.
- Validates the theoretical error estimates through simulations.

## 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 $o(h^2+k)$ space-time convergence. Further the computational realization of the same for different reduced ionic test models is presented.