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

@inproceedings{Arthurs2013EfficientSO,
  title={Efficient simulation of cardiac electrical propagation using adaptive high-order finite elements},
  author={Christopher J. Arthurs},
  year={2013}
}
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 perform… CONTINUE READING

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SHOWING 1-10 OF 140 REFERENCES

Verification of cardiac tissue electrophysiology simulators using an N-version benchmark.

  • Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
  • 2011
VIEW 8 EXCERPTS
HIGHLY INFLUENTIAL

KARDOS - User"s Guide

VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

and B O’Rourke

R L Winslow, J Rice, S Jafri, E Marbán
  • Mechanisms of altered excitation-contraction coupling in canine tachycardia-induced heart failure, II: Model studies. Circ Res, 84:571–586
  • 1999
VIEW 6 EXCERPTS
HIGHLY INFLUENTIAL