Space--time Isogeometric Analysis of cardiac electrophysiology
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913736586952704 |
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| author | Antonietti, P. F. Dedè, L. Loli, G. Montardini, M. Sangalli, G. Tesini, P. |
| author_facet | Antonietti, P. F. Dedè, L. Loli, G. Montardini, M. Sangalli, G. Tesini, P. |
| contents | This work proposes a stabilized space--time method for the monodomain equation coupled with the Rogers--McCulloch ionic model, which is widely used to simulate electrophysiological wave propagation in the cardiac tissue. By extending the Spline Upwind method and exploiting low-rank matrix approximations, as well as preconditioned solvers, we achieve both significant computational efficiency and accuracy. In particular, we develop a formulation that is both simple and highly effective, designed to minimize spurious oscillations and ensuring computational efficiency. We rigorously validate the method's performance through a series of numerical experiments, showing its robustness and reliability in diverse scenarios. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_17500 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Space--time Isogeometric Analysis of cardiac electrophysiology Antonietti, P. F. Dedè, L. Loli, G. Montardini, M. Sangalli, G. Tesini, P. Numerical Analysis This work proposes a stabilized space--time method for the monodomain equation coupled with the Rogers--McCulloch ionic model, which is widely used to simulate electrophysiological wave propagation in the cardiac tissue. By extending the Spline Upwind method and exploiting low-rank matrix approximations, as well as preconditioned solvers, we achieve both significant computational efficiency and accuracy. In particular, we develop a formulation that is both simple and highly effective, designed to minimize spurious oscillations and ensuring computational efficiency. We rigorously validate the method's performance through a series of numerical experiments, showing its robustness and reliability in diverse scenarios. |
| title | Space--time Isogeometric Analysis of cardiac electrophysiology |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2311.17500 |