The next example is more realistic. The body of a concrete dam (Fig. 10) has been discretized using five control grids, this time comprising 806, 1632, 3284, 6566, and 13128 triangular elements, respectively, into meshes of target element size 0.5, 0.22, 0.16, 0.11, 0.091, 0.079, 0.071, 0.065, and 0.06, respectively. Only the enhanced version with the ``approximate'' projection has been used in this case. The resulting dependence of the total computational time on the number of generated elements for individual control meshes (Fig. 11) approaches computational complexity and reveals only negligible sensitivity to the density of the control grid (clearly caused by the last smoothing cycle with the ``exact'' projection). Note that the total computational time in this case includes the mesh generation with ``approximate'' projection with the convergence limit set to 10 % (of the local element size), five cycles of Laplacian smoothing with ``approximate'' projection with convergence limit set to 1 %, and finally one cycle of Laplacian smoothing with ``exact'' projection with convergence tolerance set to 0.1 %.

*Daniel Rypl
2005-12-03*