Multigrid method: Difference between revisions

Revision as of 09:09, 20 September 2007

Revision as of 09:11, 20 September 2007

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And in particular, we find for the finest grid <math>N_1</math> that

:<math>W_1 = W_2 + \rho K N_1</math>

Combining these two expressions (and using <math>N_{k+1} = \rho^k N_kN_1</math>) gives

:<math>W_1 = K N_1 \sum_{p=0}^n \rho^p </math>

Using the [[geometric series]], we then find (for finite <math>n</math>)