| Week | Tuesday | Thursday |
| 1 Jan 10,12 | Class Introduction; Why we focus on Lu=f | |
| 2 Jan 17,19 | Proper boundary & initial conditions; Finite Difference | Finite Difference in 2D |
| 3 Jan 24,26 | Finite Difference on Irregular Grid (matlab programs:
run_fd2d.m
fd2d_setup.m
fd2d.m Analysis for FEM (Sobolev Spaces) |
Analysis for FEM (Lax-Milgram) |
| 4 Jan 31,Feb 2 | -No Class- | Accounting for various boundary conditions |
| 5 Feb 7,9 | Cea's Lemma; Finite Element Spaces | Working with Basis Functions |
| 6 Feb 14,16 | Constructing Basis Functions - one element | Assembling A from one reference element fem.m con_grad.m mesh8.mat ('load' this file into MATLAB to get (T,Z) for a mesh) mesh8.m (same as mesh8.mat, but you should be able to run it to get the data) |
| 7 Feb 21,23 | General Element Properties | Elements & their Properties |
| 8 Feb 28,Mar 2 | Various Elements | Solving Linear System: AU=b |
| 9 Mar 7,9 | Iterative Solvers | Conjugate Gradient |
| 10 Mar 14,16 | Preconditioned CG | Introduction to Multigrid |
| 11 Mar 21,23 | No Class, Spring Break | No Class, Spring Break |
| 12 Mar 28,30 | Multigrid | Multigrid |
| 13 Apr 4,6 | Multigrid mgall.m | |
| 14 Apr 11,13 | ||
| 15 Apr 18,20 | ||
| 16 Apr 25,27 | ||
| 17 May 2,4 | Final Project Due Friday May 5 by 3PM |