Efficient adaptivity for simulating cardiac electrophysiology with spectral deferred correction methods
under review
- The locality of solution features in cardiac electrophysiology simulations calls for adaptive methods. Due to the overhead incurred by established mesh refinement and coarsening, however, such approaches failed in accelerating the computations. Here we investigate a different route to spatial adaptivity that is based on nested subset selection for algebraic degrees of freedom in spectral deferred correction methods. This combination of algebraic adaptivity and iterative solvers for higher order collocation time stepping realizes a multirate integration with minimal overhead. This leads to moderate but significant speedups in both monodomain and cell-by-cell models of cardiac excitation, as demonstrated at four numerical examples.
Additional Services
| Author: | Fatemeh Chegini, Thomas SteinkeORCiD, Martin WeiserORCiD |
|---|---|
| Document Type: | In Proceedings |
| Year of first publication: | 2022 |
| ArXiv Id: | http://arxiv.org/abs/2311.07206 |
