Name
Title | ||
|---|---|---|
Efficient simulation of cardiac electrical propagation using high-order finite elements II: Adaptive p-version |
Abstract | ||
|---|---|---|
We present a computationally efficient method of simulating cardiac electrical propagation using an adaptive high-order finite element method to automatically concentrate 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 us to control it successfully. Our results using two-dimensional domains of varying complexity demonstrate that significant improvements in efficiency are possible over the standard linear FEM in our single-thread studies, and our preliminary three-dimensional results suggest that improvements are also possible in 3D. We do not work in parallel or investigate the challenges for adaptivity such as dynamic load-balancing which are associated with parallelisation. However, based upon recent work demonstrating that in some circumstances and with moderate processor counts parallel h-adaptive methods are efficient, and upon the claim that p-adaptivity will outperform h-adaptivity, we argue that p-adaptivity should be investigated for efficiency in parallel for simulation on moderate numbers of processors. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.jcp.2013.07.011 | J. Comput. Physics |
Keywords | DocType | Volume |
monodomain simulation,computational cardiology,p-version,adaptive finite element method,numerical efficiency | Journal | 253, |
ISSN | Citations | PageRank |
0021-9991 | 0 | 0.34 |
References | Authors | |
11 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Christopher J. Arthurs | 1 | 34 | 4.09 |
| Martin J. Bishop | 2 | 39 | 12.93 |
| David A. Kay | 3 | 244 | 31.51 |