From: couturie Date: Fri, 8 May 2015 08:39:30 +0000 (+0200) Subject: modif placement des figures X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/rce2015.git/commitdiff_plain/34ef1c761f30fa1a22267a93d9aeaabb90869ada?ds=inline;hp=--cc modif placement des figures --- 34ef1c761f30fa1a22267a93d9aeaabb90869ada diff --git a/paper.tex b/paper.tex index 54162a9..beb3140 100644 --- a/paper.tex +++ b/paper.tex @@ -321,7 +321,7 @@ A_{\ell\ell} x_\ell = c_\ell,\mbox{~for~}\ell=1,\ldots,L, \end{equation} where right-hand sides $c_\ell=b_\ell-\sum_{m\neq\ell}A_{\ell m}x_m$ are computed using the shared vectors $x_m$. In this paper, we use the well-known iterative method GMRES~\cite{saad86} as an inner iteration to approximate the solutions of the different splittings arising from the block Jacobi multisplitting of matrix $A$. The algorithm in Figure~\ref{alg:01} shows the main key points of our block Jacobi two-stage method executed by a cluster of processors. In line~\ref{solve}, the linear sub-system~(\ref{eq:03}) is solved in parallel using GMRES method where $\MIG$ and $\TOLG$ are the maximum number of inner iterations and the tolerance threshold for GMRES respectively. The convergence of the two-stage multisplitting methods, based on synchronous or asynchronous iterations, has been studied by many authors for example~\cite{Bru95,bahi07}. -\begin{figure}[t] +\begin{figure}[htpb] %\begin{algorithm}[t] %\caption{Block Jacobi two-stage multisplitting method} \begin{algorithmic}[1] @@ -359,7 +359,7 @@ At each $s$ outer iterations, the algorithm computes a new approximation $\tilde \end{equation} The algorithm in Figure~\ref{alg:02} includes the procedure of the residual minimization and the outer iteration is restarted with a new approximation $\tilde{x}$ at every $s$ iterations. The least-squares problem~(\ref{eq:06}) is solved in parallel by all clusters using CGLS method~\cite{Hestenes52} such that $\MIC$ is the maximum number of iterations and $\TOLC$ is the tolerance threshold for this method (line~\ref{cgls} in Figure~\ref{alg:02}). -\begin{figure}[t] +\begin{figure}[htbp] %\begin{algorithm}[t] %\caption{Krylov two-stage method using block Jacobi multisplitting} \begin{algorithmic}[1] @@ -591,7 +591,7 @@ the Krylov two-stage algorithm. %\RC{Les légendes ne sont pas explicites...} %\RCE{Corrige} -\begin{figure} [ht!] +\begin{figure} [htbp] \begin{center} \includegraphics[width=100mm]{cluster_x_nodes_nx_150_and_nx_170.pdf} \end{center} @@ -641,7 +641,7 @@ the network speed drops down (variation of 12.5\%), the difference between t %\begin{wrapfigure}{l}{100mm} -\begin{figure} [ht!] +\begin{figure} [htbp] \centering \includegraphics[width=100mm]{cluster_x_nodes_n1_x_n2.pdf} \caption{Various grid configurations with networks N1 vs N2 @@ -667,7 +667,7 @@ the network speed drops down (variation of 12.5\%), the difference between t \label{tab:03} \end{table} -\begin{figure} [ht!] +\begin{figure} [htbp] \centering \includegraphics[width=100mm]{network_latency_impact_on_execution_time.pdf} \caption{Network latency impacts on execution time @@ -703,9 +703,9 @@ more than $75\%$ (resp. $82\%$) of the execution for the classical GMRES \begin{figure} [htbp] \centering \includegraphics[width=100mm]{network_bandwith_impact_on_execution_time.pdf} -\caption{Network bandwith impacts on execution time -\AG{``Execution time'' avec un 't' minuscule}. Idem autres figures.} -\RCE{Corrige} +\caption{Network bandwith impacts on execution time} +%\AG{``Execution time'' avec un 't' minuscule}. Idem autres figures.} +%\RCE{Corrige} \label{fig:04} \end{figure}