Parallel Adaptive Mesh Refinement Combined with Additive Multigrid for the Efficient Solution of the Poisson Equation
Figure 6
The procedure used to encode the point with integer coordinates in a two-dimensional Cartesian mesh to the Hilbert integer 101110 using the ordering and orientation tables given in Table 1.
(a) The third level of the Hilbert SFC.
(b) Mapping the point in two dimensions to one dimension with U-ordering