High order adaptive finite element approximations for cardiac electrophysiology
|
Thu, 31/05/2012 14:00 |
Dr David Kay (University of Oxford) |
Computational Mathematics and Applications  |
Gibson Grd floor SR |
| This talk will present a computationally efficient method of simulating cardiac electrical propagation using an adaptive high-order finite element method. The refinement strategy automatically concentrates computational effort where it is most needed in space on each time-step. We drive the adaptivity using a residual-based error indicator, and demonstrate using norms of the error that the indicator allows to control it successfully. Our results using two-dimensional domains of varying complexity demonstrate in that significant improvements in efficiency are possible over the state-of-the-art, indicating that these methods should be investigated for implementation in whole-heart scale software. | |||