Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 231, Issue 10, Pages 3946-3962Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2012.01.037
Keywords
Finite element method; p-Version; Monodomain simulation; Computational cardiology; Numerical efficiency
Funding
- Engineering and Physical Sciences Research Council through the Life Sciences Interface Doctoral Training Centre
- Wellcome Trust
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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. (C) 2012 Elsevier Inc. All rights reserved.
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