X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/GMRES2stage.git/blobdiff_plain/649421a46874291325940af659c9eb66d83411b4..81dc474c4a3dc51b326e64f816210ad947fc75f0:/paper.tex diff --git a/paper.tex b/paper.tex index f4dba97..2583813 100644 --- a/paper.tex +++ b/paper.tex @@ -1099,6 +1099,12 @@ taken into account with TSIRM. \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. %%%********************************************************* %%%********************************************************* @@ -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. -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. % conference papers do not normally have an appendix