Teaching

Finite Element Method I

Professor:Christian Schaerer
Data: February – April, 2010.
Ph.D. Course,
Monday, Wednesday and Friday: 9:00 hs – 11:00 hs.

First module

1. The Ritz-Galerkin method.
2. Some standard finite elements.
3. Approximation properties.
4. Error bounds.
5. Computational consideration.
6. Nonconforming and other methods.
7. Isoparametric elements.
8. Saddle point problems.
9. Mixed methods for Poisson equation.
10. Finite element for the Stokes problem.
11. A posteriori error estimates.

Evaluation:

Home work and Seminars.   

References

• Braess, Dietrich. Finite Elements: Theory, fast solvers, and applications in solid mechanics. Cambridge: Cambridge University Press, 2001.
• Evans, Lawrence C. Partial Differential Equations. American Mathematical Society, 1998.