Title
Efficient simulation of cardiac electrical propagation using high order finite elements
Abstract
We present an application of high order hierarchical finite elements for the efficient approximation of solutions to the cardiac monodomain problem. We detail the hurdles which must be overcome in order to achieve theoretically-optimal errors in the approximations generated, including the choice of method for approximating the solution to the cardiac cell model component. We place our work on a solid theoretical foundation and show that it can greatly improve the accuracy in the approximation which can be achieved in a given amount of processor time. Our results demonstrate superior accuracy over linear finite elements at a cheaper computational cost and thus indicate the potential indispensability of our approach for large-scale cardiac simulation.
Year
DOI
Venue
2012
10.1016/j.jcp.2012.01.037
J. Comput. Physics
Keywords
Field
DocType
biophysics,finite element method,cardiac electrophysiology,numerical analysis,biomedical research,partial differential equations,bioinformatics,mathematical biology
Residual,Mathematical and theoretical biology,Computer science,Approximation theory,Algorithm,Finite element method,Numerical analysis,Partial differential equation
Journal
Volume
Issue
ISSN
231
10
0021-9991
Citations 
PageRank 
References 
6
0.58
17
Authors
3
Name
Order
Citations
PageRank
Christopher J. Arthurs1344.09
Martin J. Bishop23912.93
David A. Kay324431.51