AuthorsS. Pezzuto, J. E. Hake and J. Sundnes
TitleSpace-discretization error analysis and stabilization schemes for conduction velocity in cardiac electrophysiology
AfilliationScientific Computing
Project(s)Center for Biomedical Computing (SFF)
StatusPublished
Publication TypeJournal Article
Year of Publication2016
JournalInternational Journal for Numerical Methods in Biomedical Engineering
Volume32
Number10
PublisherWiley
Abstract

The paper discusses spatial discretization techniques for the bidomain model of cardiac electrophysiology. A detailed error analysis for the conduction velocity is presented, which shed light on several questions and previous result in the literature concerning mass lumping and current interpolation methodologies. Based on the results of the analysis, we introduce a stabilized scheme with artificial conductivity, which tends to correct the conduction velocity on coarse grids. Finally, a weighted mass lumping scheme is shown to be super-convergent on uniform grids.

DOI10.1002/cnm.2762
Citation KeyPezzuto2016