期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 231, 期 10, 页码 3946-3962出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2012.01.037
关键词
Finite element method; p-Version; Monodomain simulation; Computational cardiology; Numerical efficiency
资金
- Engineering and Physical Sciences Research Council through the Life Sciences Interface Doctoral Training Centre
- Wellcome Trust
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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