Simulating Cardiac Electrophysiology Using Unstructured All-Hexahedra Spectral Elements

Table 1

Monodomain activation times at the corner P8 and the centroid P9 on the domain shown in Figure 1 using various and values. Percentage relative errors on activation times computed assuming as a reference the solution provided by  cm and . Details on the degrees of freedom (DOF) and the numbers of nonzero entries of the solution matrices (NNZ) for the various meshes used in the simulations; percentage of DOFs and NNZs are computed with respect to those of the reference solution.

		P8	P9	% error @ P8	% error @ P9	Elements	DOF	NNZ	% DOF	% NNZ
0.05	4	44,53	20,46	4.420	3.398	3,360	229,425	20,079,265	0.84	0.30
	5	43,42	20,04	1.822	1.286	3,360	442,401	54,425,001	1.62	0.81
0.02	2	43,84	20,36	2.798	2.916	52,500	442,401	15,894,801	1.62	0.24
	3	42,70	19,65	0.138	−0.685	52,500	1.467,676	87,712,876	5.39	1.31
	4	42,73	19,85	0.209	0.314	52,500	3,449,001	308,946,001	12.66	4.61
	5	42,52	19,62	−0.285	−0.846	52,500	6,701,376	840,210,876	24.61	12.55
0.01	2	42,68	19,77	0.085	−0.072	420,000	3,449,001	125,736,801	12.66	1.88
	3	42,56	19,71	−0.204	−0.409	420,000	11,539,801	696,717,001	42.37	10.41
	4	42,67	19,81	0.056	0.126	420,000	27,234,801	2,147,483,648	51.33	32.08
	5	42,64	19,79	0.000	0.000	420,000	53,054,001	6,694,583,001	100.00	100.00