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Next: Summary Up: Hexahedral Support Operator Method Previous: Support Operator Method Derivation:

Second-Order Demonstration

Two-material problem, ratio = 10, GMRES/CG, Low-Order Preconditioner, $ \epsilon$ = 10-10 , $ \epsilon_{{pre}}^{}$ = 10-9 , SO

Problem Size (cells) $ {\frac{{\left\Vert \Phi_{\mbox{\scriptsize exact}} - \Phi \right\Vert _2}}{{\left\Vert \Phi_{\mbox{\scriptsize exact}} \right\Vert _2}}}$ Error Ratio
     
2 x 2 x 2 7.4950 x 10-2   
4 x 4 x 4 2.4163 x 10-2  3.10
8 x 8 x 8 5.5245 x 10-3  4.37
16 x 16 x 16 1.5467 x 10-3  3.57
32 x 32 x 32 3.6797 x 10-4  4.20
64 x 64 x 64 9.6113 x 10-5  3.82

\includegraphics[angle=-90,scale=.65]{/home/hall/Caesar/documents/images/Augustus/so_title_color.ps}


next up previous
Next: Summary Up: Hexahedral Support Operator Method Previous: Support Operator Method Derivation:
Michael L. Hall