[petsc-users] Projection preconditioner as PCMG

Abdul Hanan Sheikh hanangul12 at yahoo.co.uk
Tue Mar 6 08:50:58 CST 2012


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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