Finite element methods for the electric interface model: Convergence analysis

Abstract

The numerical solution of pulsed electric interface model is discussed. A fully discrete finite element scheme based on backward Euler time discretization is proposed to approximate the voltage potential of the pulsed electric model across the physical media. Pulsed electric model arises in biological tissue when a biological cell is exposed to an electric field. Optimal pointwise‐in‐time error estimates in both L2 and H1‐norms are shown to hold for the numerical scheme. Finally, we give numerical examples to verify the theoretical results.