<html><body><div style="color:#000; background-color:#fff; font-family:verdana, helvetica, sans-serif;font-size:10pt"><div><span>Dear members, <br></span></div><div><span>I had to implement the projection preconditioner (P = I - A*R*(A_H)^1 *P) along with an standard preconditioner (M).</span></div><div><span>And I read in some thread of users list that multilevel preconditioner can </span><span>better handled by PCMG too, thus </span></div><div><span>I had tried to implement the later (M) as pre smoother, where as the earlier (P) as CGC in PCMG framework. <br></span></div><br>1. Does it make sense ? <br>or the coarse grid correction of PCMG only does <span>this part: R*(A_H)^1 *</span>P ?? <br>2. How can I adapt my projection preconditioner (P) as (P1 = <span>I - A*R*(A_H)^1 *P</span> + <span>R*(A_H)^1 *P ) ? </span><br><br>I hope made you to get my problem. Even sorry for not a good narration. <br>Thank you in anticipation,
<div> </div><div>Abdul H. <br></div><div><br></div><div><b><span style="font-size:10.0pt;color:black;">T</span></b><span style="font-size:10.0pt;">echnische</span><b><span style="font-size:10.0pt;color:#2298FF;">U</span></b><span style="font-size:10.0pt;">niversiteit Delft<br> Faculteit Elektrotechniek, Wiskunde en Informatica<br></span><span style="font-size:10.0pt;">Numerical Analysis </span></div><div><span style="color:rgb(0, 0, 255);"><span style="font-family:verdana, helvetica, sans-serif;"><span style="font-family:lucida console, sans-serif;"></span></span></span><span style="color:rgb(0, 0, 255);"><span style="font-family:verdana, helvetica, sans-serif;"></span></span></div></div></body></html>