AuthorsM. Kuchta, K. Mardal and M. E. Rognes
EditorsA. Tveito, K. Mardal and M. E. Rognes
TitleSolving the EMI Equations using Finite Element Methods
AfilliationScientific Computing
Project(s)Department of Numerical Analysis and Scientific Computing
Publication TypeBook Chapter
Year of Publication2021
Book TitleModeling Excitable Tissue: The EMI Framework
PublisherSpringer International Publishing
Place PublishedCham
ISBN Number978-3-030-61157-6

This chapter discusses 2 X 2 symmetric variational formulations and associated finite element methods for the EMI equations. We demonstrate that the presented methods converge at expected rates, and compare the approaches in terms of approximation of the transmembrane potential. Overall, the choice of which formulation to employ for solving EMI models becomes largely a matter of desired accuracy and available computational resources.