Finite element method: Difference between revisions

Revision as of 17:46, 27 January 2004

Revision as of 11:20, 28 January 2004

Line 133:

Let us now look for a solution in the linear span of F. While the actual solution of (*) is almost certainly not in the linear span of F, we are once more hoping for some sort of convergence property. If everything were occurring inside the linear span of F, we would have

:<math>

:''u_n''=&sum;''a_ke_k''

\begin{matrix}

:''g_n''=&sum;''b_ke_k''

u_n = \sum a_k e_k \\

g_n = \sum b_k e_k

\end{matrix}

</math>

Substituting into (**) and expanding, we obtain: