Comparison of parallel solution techniques for the Eikonal equation
نویسنده
چکیده
There have been many approaches to this end. An electrical wave travelling through heterogeneous heart tissue is usually simulated using a sophisticated system of coupled ODEs and PDEs. These equations are solved on a realistic geometric mesh with numerical schemes (an example using finite element techniques is shown in §1.1). In cases where a fast approximation to the wave dynamics is needed, without so much physiological fidelity, the dynamics can be approximated by the Eikonal equation [1,2]. In its most simple form, the Eikonal equation is
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Comparison of Parallel Solution Techniques for the Eikonal Equation
The Eikonal equation is well established for modelling wave propagation in the field of cardiac electrophysiology[?Franzone]. It offers highly tempting computation speeds in contrast to the bidomain or monodomain models. Consequently, developing effective algorithmic solution techniques to the Eikonal equation is an immediate and valuable task. In this paper, we build on the methods existing in...
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