• Corpus ID: 233739705

Space-time multilevel quadrature methods and their application for cardiac electrophysiology

@article{Bader2021SpacetimeMQ,
  title={Space-time multilevel quadrature methods and their application for cardiac electrophysiology},
  author={Seif Ben Bader and Helmut Harbrecht and Rolf H. Krause and Michael D. Multerer and Alessio Quaglino and Marc Schmidlin},
  journal={ArXiv},
  year={2021},
  volume={abs/2105.02007}
}
We present a novel approach which aims at high-performance uncertainty quantification for cardiac electrophysiology simulations. Employing the monodomain equation to model the transmembrane potential inside the cardiac cells, we evaluate the effect of spatially correlated perturbations of the heart fibers on the statistics of the resulting quantities of interest. Our methodology relies on a close integration of multilevel quadrature methods, parallel iterative solvers and space-time finite… 

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