\relax 
\providecommand\tcolorbox@label[2]{}
\@writefile{toc}{\contentsline {section}{\numberline {1}Moving to 2D spatial domains}{1}}
\@writefile{toc}{\contentsline {section}{\numberline {2}The 2D Poisson equation}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {3}A Poisson equation on a 2D rectangle}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {4}Exercise \#1: Create a 4x3 discretized system}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Assembling the linear system}{4}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {1}Logic needed to visit each node.}{4}}
\@writefile{toc}{\contentsline {section}{\numberline {6}Relating column and row indices to nodes or (x,y) coordinates}{4}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {2}k\_from\_ij.m computes the node index.}{5}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {3}ij\_from\_k.m computes the (ij) indices.}{5}}
\@writefile{toc}{\contentsline {section}{\numberline {7}Exercise \#2: Set up the linear system for the 4x3 problem}{5}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {4}skeleton2.m}{5}}
\@writefile{toc}{\contentsline {section}{\numberline {8}Exercise \#3: Postprocessing by tabulating}{6}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {5}Tabulate solution}{6}}
\@writefile{toc}{\contentsline {section}{\numberline {9}Exercise \#4: Use a general solver}{6}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {6}exercise4 calls poisson\_solver.m}{7}}
\@writefile{toc}{\contentsline {section}{\numberline {10}Postprocessing: The RMS error norm}{7}}
\@writefile{toc}{\contentsline {section}{\numberline {11}Exercise \#5: Compute RMS error norm for a new problem}{7}}
\@writefile{toc}{\contentsline {section}{\numberline {12}Homework: Plot the solution of the new problem}{8}}
\@writefile{lol}{\contentsline {lstlisting}{\numberline {7}Contour and surface plots}{8}}