The parametrized boundary surfaces are algebraically combined to create the interior grid. The mapping of the unit square/cube with coordinates onto the domain is performed by the transfinite interpolation [184]. In two dimensions it can be written as

where are the boundaries, the four corner vertices, and is the mapping function to calculate the coordinates in the real domain. The mapping function satisfies

The resulting grid is useful if the boundaries are convex or not too twisted. A three-dimensional example of the mesh of a LOCOS which was generated with a package described in [13] is shown in Fig. 4.2-a.

2000-01-20