Math 226B Winter 2014

Math 266B Computational PDE

Meeting Information

• Room: RH 440R
• Day & time: M W F 3 pm - 3:50 pm
• Office hour: M W 11:00 am - 12:00 pm

Project and Homework

• Project: Nolinear Poisson-Boltzmann Equations. Due date: Feb 14.
• Homework: Lecture notes on parabolic equations. Exercise 2.11, 3.5, 4.3, 4.4. Due date: Feb 28.
• Project: Adaptive FEM for Heat Equations. Due date: Mar 10.
• Homework: Lecture notes. inf-sup condition. Ex 1.1 and 1.16. FEM for Stokes: Ex 1.4. MG for Stokes: Ex 1.1. Due date: Mar 17.

Syllabus

• Adaptive finite element methods
• Nonlinear elliptic equations
• Heat equation
• Stokes equations
• Navier-Stokes equations

References

Lecture Notes will be distributed in class. But the following books are good references for reading:

• Elman.H, Silvester.D, and Wathen.A. Finite Elements and Fast Iterative Solvers with Applications in Incompressible Fluid Dynamics. 2005
• S. Larsson and V. Thomee. Partial Differential Equations with Numerical Methods, Springer, 2003.
• Gilbert Strang. Computational Science and Engineering, Wellesley-Cambridge Press, 2007. Watch viedos in iTunes U.

Grading

Your course grade will be determined by your cumulative average at the end of the term:

• 40% Homework
• 40% Matlab projects
• 20% Final Exam/Project