Improving the Accuracy of Fictitious Domain Method Using Indicator Function from Volume Intersection

Table 2

Comparison of results and errors of the particle volume computation in 3D.

Grid spacing	Volume and Errors	Gallier [14]	Subdivision level
			1	2	3	4
/10	Volume	0.529842	0.523251	0.523503	0.523572	0.523591
	Error	1.19e-2	6.64e-4	1.83e-4	5.09e-5	1.42e-5
/20	Volume	0.527607	0.523512	0.523575	0.523592	0.523597
	Error	7.66e-3	1.66e-4	4.60e-5	1.28e-5	3.56e-6
/30	Volume	0.525825	0.52356	0.523588	0.523596	0.523598
	Error	4.25e-3	7.39e-5	2.04e-5	5.66e-6	1.58e-6
/40	Volume	0.524104	0.523577	0.523593	0.523597	0.523598
	Error	9.65e-4	4.15e-5	1.15e-5	3.19e-6	8.94e-7