
\subsection{\bf Discretization of Integral}

\begin{slide}

\begin{itemize}
\item Convert this to a minimization principle over a finite
dimensional space defining $\varphi$

\item Consider those functions $\varphi$ which are piecewise linear
on a set of triangles (the mesh) which covers $\Omega$ (Figure~FEM~2)

\vspace{5pt}
\begin{center}
\centerline{\psfig{figure=cps615.fig2.ps,clip=true,width=4.0in}}
Figure: FEM 2
\end{center}
\vspace{5pt}

\item i.e., we will use the generalized trapezoidal rule to
integrate $F$
\end{itemize}

\end{slide}

