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 |