Dear members, 

I had to implement the projection preconditioner (P = I - A*R*(A_H)^1 *P) along 
with an standard preconditioner (M).
And I read in some thread of users list that multilevel preconditioner can 
better handled by PCMG too, thus? 
I had tried to implement the later (M) as pre smoother, where as the earlier 
(P) as CGC in PCMG framework. 

1. Does it make sense ? 
or the coarse grid correction of PCMG only does this part: R*(A_H)^1 *P?? ?? 
2. How can I adapt my projection preconditioner (P) as (P1 = I - A*R*(A_H)^1 *P 
+ R*(A_H)^1 *P ) ? 

I hope made you to get my problem. Even sorry for not a good narration. 
Thank you in anticipation, 
?
Abdul H. 


TechnischeUniversiteit Delft
Faculteit Elektrotechniek, Wiskunde en Informatica
Numerical Analysis 
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