| Solving the cardiac bidomain equations for discontinuous conductivities. | |
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MedLine Citation:
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PMID: 16830931 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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Fast simulations of cardiac electrical phenomena demand fast matrix solvers for both the elliptic and parabolic parts of the bidomain equations. It is well known that fast matrix solvers for the elliptic part must address multiple physical scales in order to show robust behavior. Recent research on finding the proper solution method for the bidomain equations has addressed this issue whereby multigrid preconditioned conjugate gradients has been used as a solver. In this paper, a more robust multigrid method, called Black Box Multigrid, is presented as an alternative to conventional geometric multigrid, and the effect of discontinuities on solver performance for the elliptic and parabolic part is investigated. Test problems with discontinuities arising from inserted plunge electrodes and naturally occurring myocardial discontinuities are considered. For these problems, we explore the advantages to using a more advanced multigrid method like Black Box Multigrid over conventional geometric multigrid. Results will indicate that for certain discontinuous bidomain problems Black Box Multigrid provides 60% faster simulations than using conventional geometric multigrid. Also, for the problems examined, it will be shown that a direct usage of conventional multigrid leads to faster simulations than an indirect usage of conventional multigrid as a preconditioner unless there are sharp discontinuities. |
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Authors:
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Travis M Austin; Mark L Trew; Andrew J Pullan |
Publication Detail:
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Type: Evaluation Studies; Journal Article; Research Support, Non-U.S. Gov't |
Journal Detail:
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Title: IEEE transactions on bio-medical engineering Volume: 53 ISSN: 0018-9294 ISO Abbreviation: IEEE Trans Biomed Eng Publication Date: 2006 Jul |
Date Detail:
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Created Date: 2006-07-11 Completed Date: 2006-08-08 Revised Date: 2009-11-11 |
Medline Journal Info:
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Nlm Unique ID: 0012737 Medline TA: IEEE Trans Biomed Eng Country: United States |
Other Details:
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Languages: eng Pagination: 1265-72 Citation Subset: IM |
Affiliation:
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Bioengineering Institute, the University of Auckland, Private Bag 92019, Auckland 1001, New Zealand. t.austin@auckland.ac.nz |
Export Citation:
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| MeSH Terms | |
Descriptor/Qualifier:
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Action Potentials* Animals Body Surface Potential Mapping / methods* Computer Simulation Diagnosis, Computer-Assisted / methods* Electric Conductivity / diagnostic use* Electromagnetic Fields Heart Conduction System / physiology* Humans Models, Cardiovascular* Models, Neurological* Numerical Analysis, Computer-Assisted |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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