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Efficient simulation of cardiac electrical propagation using high-order finite elements II: Adaptive p-version

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Efficient simulation of cardiac electrical propagation using high-order finite elements II : Adaptive p-version. / Arthurs, Christopher; Bishop, Martin; Kay, David.

In: JOURNAL OF COMPUTATIONAL PHYSICS, Vol. 253, No. N/A, N/A, 15.11.2013, p. 443-470.

Research output: Contribution to journalArticle

Harvard

Arthurs, C, Bishop, M & Kay, D 2013, 'Efficient simulation of cardiac electrical propagation using high-order finite elements II: Adaptive p-version', JOURNAL OF COMPUTATIONAL PHYSICS, vol. 253, no. N/A, N/A, pp. 443-470. https://doi.org/10.1016/j.jcp.2013.07.011

APA

Arthurs, C., Bishop, M., & Kay, D. (2013). Efficient simulation of cardiac electrical propagation using high-order finite elements II: Adaptive p-version. JOURNAL OF COMPUTATIONAL PHYSICS, 253(N/A), 443-470. [N/A]. https://doi.org/10.1016/j.jcp.2013.07.011

Vancouver

Arthurs C, Bishop M, Kay D. Efficient simulation of cardiac electrical propagation using high-order finite elements II: Adaptive p-version. JOURNAL OF COMPUTATIONAL PHYSICS. 2013 Nov 15;253(N/A):443-470. N/A. https://doi.org/10.1016/j.jcp.2013.07.011

Author

Arthurs, Christopher ; Bishop, Martin ; Kay, David. / Efficient simulation of cardiac electrical propagation using high-order finite elements II : Adaptive p-version. In: JOURNAL OF COMPUTATIONAL PHYSICS. 2013 ; Vol. 253, No. N/A. pp. 443-470.

Bibtex Download

@article{da1465957be041b49914e23311b05067,
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.",
keywords = "Adaptive finite element method, p-version, Monodomain simulation, Computational cardiology, Numerical efficiency",
author = "Christopher Arthurs and Martin Bishop and David Kay",
year = "2013",
month = nov,
day = "15",
doi = "10.1016/j.jcp.2013.07.011",
language = "English",
volume = "253",
pages = "443--470",
journal = "JOURNAL OF COMPUTATIONAL PHYSICS",
issn = "0021-9991",
publisher = "ACADEMIC PRESS INC",
number = "N/A",

}

RIS (suitable for import to EndNote) Download

TY - JOUR

T1 - Efficient simulation of cardiac electrical propagation using high-order finite elements II

T2 - Adaptive p-version

AU - Arthurs, Christopher

AU - Bishop, Martin

AU - Kay, David

PY - 2013/11/15

Y1 - 2013/11/15

N2 - 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.

AB - 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.

KW - Adaptive finite element method

KW - p-version

KW - Monodomain simulation

KW - Computational cardiology

KW - Numerical efficiency

U2 - 10.1016/j.jcp.2013.07.011

DO - 10.1016/j.jcp.2013.07.011

M3 - Article

VL - 253

SP - 443

EP - 470

JO - JOURNAL OF COMPUTATIONAL PHYSICS

JF - JOURNAL OF COMPUTATIONAL PHYSICS

SN - 0021-9991

IS - N/A

M1 - N/A

ER -

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