Efficient Approximation Techniques For Cardiac Electrophysiology

Abstract:

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 successfully controls it. Our results in both two and three space dimensional domains of varying complexity demonstrate the efficiency of the method, indicating that these methods should be investigated for implementation in whole-heart scale software.