A Novel Virtual Node Hexahedral Element with Exact Integration and Octree Meshing

Table 1

Exact integration of monomials within a domain enclosed by a parabolic curve and a triangle.

	Integrand	Solution from exact integration technique	Analytical solution	Percentage error	Average maximum elapsed time for exact integration technique (seconds)	Average maximum elapsed time for analytical technique (seconds)
Integration within a domain enclosed by a parabolic curve and a triangle				0; 0	0.06; 0.08	0.56; 1.93