Professor: Jianliang Qian

Office: C306 Wells Hall
Phone: (517)353-6334
Email: qian@math.msu.edu

Lectures: MWF 15:00-15:50
Location: A226 WH
Office Hours: MWF4pm-5pm and by appointment
Course Website: http://www.math.msu.edu/~qian/950.13s/index950.html

Description and Contents
This course will cover direct methods for solving PDEs, including finite elements (FE) and boundary elements (BE) methods in general. The model equations consist of Poisson, heat, and wave equations. Various analysis tools will be covered. Specifically, we will roughly cover the following:

• FEM for elliptic equations
• FEM for hyperbolic equations
• FEM for parabolic equations
• FEM for nonlinear equations
• BEM for elliptic equations
• Mixed FEMs

Required Textbook

• C. Johnson, Numerical solutions of PDEs by the finite element method.

Recommended Textbook

• P. G. Ciarlet, The finite element methods for elliptic equations, SIAM, 2002.
• D. Braess, Finite elements, Cambridge, 2001.

Homework and Projects

• This will be a computationally intensive course, including programming and written assignments.
• The computational problems will utilize MATLAB.
• Homework due in class. No late homework accepted.

Exams

• Final Exam/Final Project: TBA.

Grading based on

• Class participation (10%), assignments (60%), Final Exam/Project (30%).
  
• 4.0: 90% - 100%; 3.5: 80% - 89%; 3.0: 70% - 79%; 2.5: 60% - 69%; 2.0: less than 60%.

Assignment

Homework Assignment 1: PDF file. TBA