Math 574: Finite Element Method - Spring 2006 - Course Information  
Course Information

This list presents what was covered in class and predicts what will be covered in the future.

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