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Efficient simulation of cardiac electrical propagation using high order finite elements.

Christopher J Arthurs¹, Martin J Bishop², David Kay¹

¹Department of Computer Science, University of Oxford, Oxford, United Kingdom.

Journal of Computational Physics

|July 1, 2014

Summary

This summary is machine-generated.

High-order hierarchical finite elements offer superior accuracy for cardiac monodomain problem simulations. This efficient approach provides better approximations at a lower computational cost, proving vital for large-scale cardiac research.

Keywords:

Computational cardiology Finite element method Monodomain simulation Numerical efficiency p-Version

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Area of Science:

Computational Biology
Biophysics
Numerical Analysis

Background:

The cardiac monodomain equation is crucial for simulating electrical propagation in the heart.
Accurate and efficient numerical methods are needed for large-scale cardiac electrophysiology models.

Purpose of the Study:

To apply high-order hierarchical finite elements for efficient approximation of the cardiac monodomain problem.
To address challenges in achieving theoretically optimal errors in numerical solutions.
To enhance the accuracy and computational efficiency of cardiac simulations.

Main Methods:

Implementation of high-order hierarchical finite elements.
Careful selection of numerical methods for the cardiac cell model component.
Theoretical analysis to underpin the approximation strategy.

Main Results:

Demonstrated superior accuracy compared to linear finite elements.
Achieved higher accuracy within a given computational time.
Identified a more cost-effective computational approach.

Conclusions:

High-order hierarchical finite elements provide a more accurate and computationally efficient solution for the cardiac monodomain problem.
This method offers significant advantages over traditional linear finite elements.
The approach is potentially indispensable for future large-scale cardiac simulations.