:Spring 2014: Math 610-Lab (Numerical Methods for PDEs)

Announcements

1. Format for the report of programming assignment
 * Your report should be a PDF file looking like this: report.pdf.
   - Here is the LaTeX source used to create this PDF file : report.tex, graph.ps
 * To produce a .DVI file from your .TEX file, use the command: latex [name_of_file].tex
 * To convert your .DVI file to a .PS/.PDF file use the commands dvips or dvipdf.

In Class Materials

1. [Jan.22] 2D finite elements. Generating the mesh.
   
   • A good mesh generator: Triangle
   • Reference input data (basic.poly) : Square
   • Command: ./triangle(./triangle -o1 -a.064 -q30 square.poly), ./showme



2. [Jan.29] Programming Assignment I - Exercise 1. is due on next week. (Feb.5th)
   
   ** Things to submit in the report. **
   • Check your implementation by picking a certain solution, verify it's second order
   • Matrix and Right hand side vetor for the case h=1/3
   • Plot Solution for #1 and #2 with u(0)=u(1)=1
   • Plot Solution for #1 and #2 with u(0)=u'(1)=0
   • Plot loglog graph for h vs error for each problem.



3. [Feb.5] Programming Assignment I - Exercise #2(1-3 only). is due on next week. (Feb.12th)
   
   ** Reminder. **
   • Define linear basis functions
   • Use Gaussian Quadrature rule with 3 points for the integration.
   • Build local/global mass/stiffness matirces
   • Don't forget lifting for Dirchilet boundary condition if it's necessary
   • Calculate L_infty,L2, and H1 error
   
   
   ** Things to submit in the report. **
   • Plot the solutions for each problem.
   • Plot loglog graph for h vs error(each norm) for each problem.



4. [Feb.12] FINAL DUE: Programming Assignment I is due on next week. (Feb.17th)
   
   ** We might loose order on Exercise #2-4 **
   • Plot the solutions for each problem.
   • Plot loglog graph for h vs error(each norm) for each problem.