Study Guide:

Week 1: Chapters 5 and 6.
Week 2: Chapter 8.
Week 3: Chapter 9.
Week 4: Chapters 21 and 14.
Week 5: Chapter 15.
Week 6: Chapter 16.
Week 7: Chapter 17.

Extra Support Material:

1. MATLAB Manual

2. PDE Lecture Notes

3. MATLAB Code Examples:

poisson.m, aposteriori.m, poi2D.m

Additional Exercises:

Chapter 6: 6.1, 6.3,

Also,

1. Give a varitional formulation of -u''+u=f in (0,1) with u(0)=u(1)=0.

2. Write a FEM with piecewise linear, continuous functions, and a uniform stepsize h=1/4.

Chapter 8: 8.8, 8.11, 8.22, 8.23

Chapter 9: 9.9

Home Assignments:

Assignment 1: Do exercises 8.35, 18.6 a-c, and 9.12. Write a short yet detailed report, not exceeding ten pages, explaning your work before 2004-11-28. Use MATLAB to do the coding parts. Hints: For 8.35 you need to read chapter 8, particularly, section 4, but not chapter 7. Obviously, it is impossible to compare with Femlab 1d. A good starting point for problem 18.6 might be this Matlab code, which solves -u''=f, u(0)=u(1)=0 using cG(1). In 9.12 consider only the case a=4.

Assignment 2: Can be found here. Hand in a short report of your work before the final exam.

Sample Exam Questions:

At least one question on the final exam will be to prove one of the following theorems.