Multigrid Methods and Nonconforming Finite Element Methods
This course will cover finite element and finite difference methods to solve partial differential equations. In the first half of the course, multigrid methods (geometric and algebraic) will be covered. In the second half of the course, nonconforming finite element methods will be covered. Students will be expected to try numerical experiments based on the lectures.
Students should be familiar with advanced calculus and numerical linear algebra.
- C. C. Douglas, G. Haase, and U. Langer, A Tutorial on Elliptic PDE Solvers and their Parallelization, vol. 16, Software, Environments, and Tools (SET) series, SIAM Books, Philadelphia, 2003.
- K. W. Morton and D. F. Mayers, Numerical Solution of Partial Differential Equations: An Introduction, second ed., Cambridge University Press, Cambridge, 2005.
- R. D. Richtmyer and K. W. Morton, Difference Methods for Initial Value Problems, J. Wiley & Sons, New York, 1967.
Useful Web Site(s)
- http://www.mgnet.org, the Multigrid Network.