/[escript]/trunk/doc/cookbook/example07.tex
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revision 4285 by caltinay, Thu Mar 7 01:08:43 2013 UTC revision 4286 by caltinay, Thu Mar 7 04:28:11 2013 UTC
# Line 292  After each iteration the displacement is Line 292  After each iteration the displacement is
292  \end{equation}  \end{equation}
293    
294  \subsection{Lumping}  \subsection{Lumping}
295  For \esc, the acceleration solution is prefered as it allows the use of matrix  For \esc, the acceleration solution is preferred as it allows the use of matrix
296  lumping. Lumping or mass lumping as it is sometimes known, is the process of  lumping. Lumping or mass lumping as it is sometimes known, is the process of
297  aggressively approximating the density elements of a mass matrix into the main  aggressively approximating the density elements of a mass matrix into the main
298  diagonal. The use of Lumping is motivaed by the simplicity of diagonal matrix  diagonal. The use of Lumping is motivated by the simplicity of diagonal matrix
299   inversion. As a result, Lumping can significantly reduce the computational   inversion. As a result, Lumping can significantly reduce the computational
300  requirements of a problem. Care should be taken however, as this  requirements of a problem. Care should be taken however, as this
301  function can only be used when the $A$, $B$ and $C$ coefficients of the  function can only be used when the $A$, $B$ and $C$ coefficients of the

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