suite

[GMRES2stage.git] / paper.tex

diff --git a/paper.tex b/paper.tex
index f4dba976679275da150445d517e24ea7004d578a..2583813c34ab16744115768e35e4c8d89fca5524 100644 (file)
--- a/paper.tex
+++ b/paper.tex
@@ -1099,6 +1099,12 @@ taken into account with TSIRM.
 \label{fig:02}
 \end{figure}
 
 \label{fig:02}
 \end{figure}
 

+
+Concerning the  experiments some  other remarks are  interesting. We  can tested
+other examples  of PETSc  (ex29, ex45,  ex49). For all  these examples,  we also
+obtained  similar  gain between  GMRES  and TSIRM  but  those  examples are  not
+scalable  with many  cores. In  general,  we had  some problems  with more  than
+$4,096$ cores. 

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@@ -1121,13 +1127,14 @@ experiments up to 16,394 cores have been led to verify that TSIRM runs
 5 or  7 times  faster than GMRES.
 
 
 5 or  7 times  faster than GMRES.
 
 

-For future work, the authors' intention is to investigate 
-other kinds of matrices, problems, and inner solvers. The 
-influence of all parameters must be tested too, while 
-other methods to minimize the residuals must be regarded.
-The number of outer iterations to minimize should become 
-adaptative to improve the overall performances of the proposal.
-Finally, this solver will be implemented inside PETSc.
+For  future  work, the  authors'  intention is  to  investigate  other kinds  of
+matrices, problems, and  inner solvers. The influence of  all parameters must be
+tested too, while other methods to minimize the residuals must be regarded.  The
+number of outer  iterations to minimize should become  adaptative to improve the
+overall performances of the proposal.   Finally, this solver will be implemented
+inside PETSc. This  would be very interesting because it would  allow us to test
+all the non-linear  examples and compare our algorithm  with the other algorithm
+implemented in PETSc.

 
 
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