Efficiency of parallel anisotropic mesh adaptation for the solution of the bidomain model in cardiac tissue
Electrocardiology models are nonlinear reaction–diffusion type systems, where the numerical simulation requires extremely fine meshes to accurately compute the heart’s electrical activity. Anisotropic mesh adaptation methods have been proven to be efficient for simulating cardiac dynamic by many aut...
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2022
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| Online Access: | http://hdl.handle.net/11073/25360 |
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| _version_ | 1864513436599189504 |
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| author | Belhamadia, Youssef |
| author2 | Briffard, Thomas Fortin, André |
| author2_role | author author |
| author_facet | Belhamadia, Youssef Briffard, Thomas Fortin, André |
| author_role | author |
| dc.creator.none.fl_str_mv | Belhamadia, Youssef Briffard, Thomas Fortin, André |
| dc.date.none.fl_str_mv | 2022-04 2023-09-22T06:46:11Z 2023-09-22T06:46:11Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | Belhamadia, Y., Briffard, T., & Fortin, A. (2022). Efficiency of parallel anisotropic mesh adaptation for the solution of the bidomain model in cardiac tissue. In Journal of Computational Science (Vol. 61, p. 101656). Elsevier BV. https://doi.org/10.1016/j.jocs.2022.101656 1877-7511 http://hdl.handle.net/11073/25360 10.1016/j.jocs.2022.101656 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | Elsevier |
| dc.relation.none.fl_str_mv | https://doi.org/10.1016/j.jocs.2022.101656 |
| dc.subject.none.fl_str_mv | Bidomain model Anisotropic mesh adaptation Parallel method Spiral wave Scroll wave Ventricular fibrillation |
| dc.title.none.fl_str_mv | Efficiency of parallel anisotropic mesh adaptation for the solution of the bidomain model in cardiac tissue |
| dc.type.none.fl_str_mv | Peer-Reviewed Published version info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | Electrocardiology models are nonlinear reaction–diffusion type systems, where the numerical simulation requires extremely fine meshes to accurately compute the heart’s electrical activity. Anisotropic mesh adaptation methods have been proven to be efficient for simulating cardiac dynamic by many authors and showed a considerable improvement in the numerical accuracy while reducing the computational expenses. However, the efficiency of these techniques in parallel computing environments has not been shown yet, especially when compared to the performance of parallel uniform meshes. In this paper, we demonstrate the efficiency of a parallel anisotropic mesh adaptation method for the solution of the bidomain model in cardiac tissue. The technique is based on an efficient error estimator appropriate for second or higher order numerical solutions. To demonstrate the effectiveness of the developed methodology, comparisons between the numerical simulations on parallel adapted meshes with those on parallel uniform meshes are presented. The computational efficiency is assessed by computing spiral and scroll waves in cardiac tissue. |
| format | article |
| id | aus_c61df7f7eb4dc0962d18aed99b4d5290 |
| identifier_str_mv | Belhamadia, Y., Briffard, T., & Fortin, A. (2022). Efficiency of parallel anisotropic mesh adaptation for the solution of the bidomain model in cardiac tissue. In Journal of Computational Science (Vol. 61, p. 101656). Elsevier BV. https://doi.org/10.1016/j.jocs.2022.101656 1877-7511 10.1016/j.jocs.2022.101656 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/25360 |
| publishDate | 2022 |
| publisher.none.fl_str_mv | Elsevier |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Efficiency of parallel anisotropic mesh adaptation for the solution of the bidomain model in cardiac tissueBelhamadia, YoussefBriffard, ThomasFortin, AndréBidomain modelAnisotropic mesh adaptationParallel methodSpiral waveScroll waveVentricular fibrillationElectrocardiology models are nonlinear reaction–diffusion type systems, where the numerical simulation requires extremely fine meshes to accurately compute the heart’s electrical activity. Anisotropic mesh adaptation methods have been proven to be efficient for simulating cardiac dynamic by many authors and showed a considerable improvement in the numerical accuracy while reducing the computational expenses. However, the efficiency of these techniques in parallel computing environments has not been shown yet, especially when compared to the performance of parallel uniform meshes. In this paper, we demonstrate the efficiency of a parallel anisotropic mesh adaptation method for the solution of the bidomain model in cardiac tissue. The technique is based on an efficient error estimator appropriate for second or higher order numerical solutions. To demonstrate the effectiveness of the developed methodology, comparisons between the numerical simulations on parallel adapted meshes with those on parallel uniform meshes are presented. The computational efficiency is assessed by computing spiral and scroll waves in cardiac tissue.Calcul QuébecCompute CanadaAmerican University of SharjahElsevier2023-09-22T06:46:11Z2023-09-22T06:46:11Z2022-04Peer-ReviewedPublished versioninfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfBelhamadia, Y., Briffard, T., & Fortin, A. (2022). Efficiency of parallel anisotropic mesh adaptation for the solution of the bidomain model in cardiac tissue. In Journal of Computational Science (Vol. 61, p. 101656). Elsevier BV. https://doi.org/10.1016/j.jocs.2022.1016561877-7511http://hdl.handle.net/11073/2536010.1016/j.jocs.2022.101656en_UShttps://doi.org/10.1016/j.jocs.2022.101656oai:repository.aus.edu:11073/253602024-08-22T12:02:03Z |
| spellingShingle | Efficiency of parallel anisotropic mesh adaptation for the solution of the bidomain model in cardiac tissue Belhamadia, Youssef Bidomain model Anisotropic mesh adaptation Parallel method Spiral wave Scroll wave Ventricular fibrillation |
| status_str | publishedVersion |
| title | Efficiency of parallel anisotropic mesh adaptation for the solution of the bidomain model in cardiac tissue |
| title_full | Efficiency of parallel anisotropic mesh adaptation for the solution of the bidomain model in cardiac tissue |
| title_fullStr | Efficiency of parallel anisotropic mesh adaptation for the solution of the bidomain model in cardiac tissue |
| title_full_unstemmed | Efficiency of parallel anisotropic mesh adaptation for the solution of the bidomain model in cardiac tissue |
| title_short | Efficiency of parallel anisotropic mesh adaptation for the solution of the bidomain model in cardiac tissue |
| title_sort | Efficiency of parallel anisotropic mesh adaptation for the solution of the bidomain model in cardiac tissue |
| topic | Bidomain model Anisotropic mesh adaptation Parallel method Spiral wave Scroll wave Ventricular fibrillation |
| url | http://hdl.handle.net/11073/25360 |