cpm90x1 - $$u(-1) = u(1) = 0$$ Find the truncation error in...

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\documentstyle{article} \setlength{\textwidth}{6.6truein}\setlength{\oddsidemargin}{-.2truein} \setlength{\evensidemargin}{-.2truein}\setlength{\textheight}{9truein} \setlength{\topmargin}{-.4truein}\setlength{\headsep}{.2truein} \setlength{\footskip}{.3truein}\pagestyle{empty} \begin{document} \begin{center} {\bf EGN 5456 \hfill Intro to Computational Mechanics \hfill 4/3/90 }\\ {\it Open notes \hfill Leon Van Dommelen \hfill 2:30-3:45 pm } \end{center} \begin{enumerate} \item Describe a Galerkin solution to $$-u_{xx} + 2 u =1$$
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Unformatted text preview: $$u(-1) = u(1) = 0$$ Find the truncation error in the results. \item Discuss the variational formulation of the {\it fourth} order problem $$u_{xxxx} + u = 1$$ $$u(0) = u_x(0) = u(1) = u_x(1) = 0$$ Note that all these boundary conditions are essential for a fourth order equation. So what boundary conditions would you impose on $v(x)$? What would be the bilinear and linear operators? What smoothness would you impose on the solution. Would linear splines work? \end{enumerate} \end{document}...
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This note was uploaded on 07/09/2011 for the course EGN 5456 taught by Professor Dommelen during the Spring '09 term at FSU.

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