Math 226B Winter 2018

Math 266B Computational PDE

Meeting Information

• Room: RH 340P
• Day & time: M W F 10:00 - 10:50 am.
• Office hour: W F 11:00 - 12 am.

Project and Homework

• Homework 1: exercises in unified analysis. Due date: Jan 24.
• Homework 2: exercises in adaptive finite element methods. Due date: Feb 9.
• Project: Heat Equations. Due date: Feb 26.
• Project: Finite Element Methods for Stokes Equations. Due date: Mar 17.
• Final Project: MAC Scheme for Stokes Eqations. Due date: Mar 26.

Syllabus

• Adaptive finite element methods
• Heat equation
• Stokes equations
• Navier-Stokes equations
• Maxwell equations

References

Pdf files of lectures can be found in Lectures page. 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.
• S.C. Brenner and L.R. Scott. The mathematical theory of finite element methods, vol. 15 of Texts in Applied Mathematics, Springer-Verlag, New York, second edition, 2002.

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