232
9 High-Dimension Model Representation via Sparse GridTechniques
Fig. 9.12 Comparison of interpolated results with original data for the complex flaw with
‘coordinates’ (20,40,30,10). (See Fig. 6.4.) The coordinates of the flaw in eight dimensions are
(20,20,40,40,30,30,10,10), because the length of each of the eight-dimensional slabs is one-half
that of the four-dimensional slabs. The eight-dimensional TASMANIAN sparse grid was generated
at level 3, with 593 Chebyshev points
Fig. 9.13 Comparison of interpolated results at 81 arbitrarily selected points with the fourdimensional TASMANIAN grid at level 8, with 1857 Chebyshev points
9 High-Dimension Model Representation via Sparse GridTechniques
Fig. 9.12 Comparison of interpolated results with original data for the complex flaw with
‘coordinates’ (20,40,30,10). (See Fig. 6.4.) The coordinates of the flaw in eight dimensions are
(20,20,40,40,30,30,10,10), because the length of each of the eight-dimensional slabs is one-half
that of the four-dimensional slabs. The eight-dimensional TASMANIAN sparse grid was generated
at level 3, with 593 Chebyshev points
Fig. 9.13 Comparison of interpolated results at 81 arbitrarily selected points with the fourdimensional TASMANIAN grid at level 8, with 1857 Chebyshev points