X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/Krylov_multi.git/blobdiff_plain/8931f4002c2b6f7a26715778b3f8920e91566dc1..2ba13b434c9d2aab12becfb44463be0a8bea74e7:/krylov_multi.tex?ds=sidebyside diff --git a/krylov_multi.tex b/krylov_multi.tex index ff5e848..98b8949 100644 --- a/krylov_multi.tex +++ b/krylov_multi.tex @@ -276,9 +276,11 @@ preconditioner it is possible to reduce the number of iterations but preconditioners are not scalable when using many cores. %Doing many experiments with many cores is not easy and requires to access to a supercomputer with several hours for developing a code and then improving it. -In the following we present some experiments we could achieved out on the -Hector architecture, the previous UK's high-end computing resource, funded by -the UK Research Councils, which has been stopped in the early 2014. +In the following we present some experiments we could achieved out on the Hector +architecture, a UK's high-end computing resource, funded by the UK Research +Councils~\cite{hector}. This is a Cray XE6 supercomputer, equipped with two +16-core AMD Opteron 2.3 Ghz and 32 GB of memory. Machines are interconnected +with a 3D torus. Table~\ref{tab1} shows the result of the experiments. The first column shows the size of the 3D Poisson problem. The size is chosen in order to have @@ -364,6 +366,8 @@ intend to investigate the convergence improvements of our method by using preconditioning techniques for Krylov iterative methods and multisplitting methods with overlapping blocks. +\section{Acknowledgement} +The authors would like to thank Mark Bull of the EPCC his fruitful remarks and the facilities of HECToR. %Other applications (=> other matrices)\\ %Larger experiments\\