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arXiv · 2311.17500

Space--time Isogeometric Analysis of cardiac electrophysiology

P. F. Antonietti·L. Dedè·G. Loli·M. Montardini·G. Sangalli·P. Tesini
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Abstract

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.

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P. F. Antonietti, L. Dedè, G. Loli, M. Montardini, G. Sangalli, P. Tesini. 2023-11-29. Space--time Isogeometric Analysis of cardiac electrophysiology. https://arxiv.org/abs/2311.17500

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