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-Larger experiments ....\\

 
 In the following we describe the applications of PETSc we have experimented. Those applications are available in the ksp part which is suited for  scalable linear equations solvers:
 \begin{itemize}
 
 In the following we describe the applications of PETSc we have experimented. Those applications are available in the ksp part which is suited for  scalable linear equations solvers:
 \begin{itemize}

-\item  ex15   is  an  example  which   solves  in  parallel   a  2D  homogeneous
-  Laplacian. Thediagonal is  equals to 4 and 4  extra-diagonals representing the
-  neighbors in  each directions  is equal to  -1. This  example is used  in many
-  physical phenomena , for exemple, heat and fluid flow, wave propagation...
-\item
+\item ex15  is an example  which solves in  parallel an operator using  a  finite  difference  scheme.  The  diagonal is  equals  to  4  and  4
+  extra-diagonals  representing the  neighbors in  each directions  is  equal to
+  -1. This  example is used in many  physical phenomena , for  exemple, heat and
+  fluid flow, wave propagation...
+\item ex54 is another example based on 2D problem discretized  with quadrilateral finite elements. For this example, the user can define the scaling of material coefficient in embedded circle, it is called $\alpha$.

 \end{itemize}
 \end{itemize}

-
+For more technical details on  these applications, interested reader are invited
+to  read the  codes available  in the  PETSc sources.   Those problem  have been
+chosen because they  are scalable with many cores. We  have tested other problem
+but they are not scalable with many cores.