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Thesis

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

Abstract:

This thesis investigates the high-order hierarchical finite element method, also known as the finite element p-version, as a computationally-efficient technique for generating numerical solutions to the cardiac monodomain equation. We first present it as a uniform-order method, and through an a priori error bound we explain why the associated cardiac cell model must be thought of as a PDE and approximated to high-order in order to obtain the accuracy that the p-version is capable of. We pe...

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Institution:
University of Oxford
Division:
MPLS
Department:
Doctoral Training Centre - MPLS
Research group:
Computational Biology
Oxford college:
Balliol College
Role:
Author
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Division:
MPLS
Department:
Computer Science
Role:
Author

Contributors

Division:
MPLS
Department:
Computer Science
Role:
Supervisor
Division:
MPLS
Department:
Computer Science
Role:
Supervisor
Publication date:
2013
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK

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