Numerical Methods for stationary PDEs (spring 2012)

Organization

Time and venue: Wednesdays 10:15 - 13:00 hrs in weeks 6-21, Vrije Universiteit, W&N Building. Usually, lectures during 2 * 45 min + 45 min exercise class.

The final grade will be based on assignments (2/3) (lowest two grades will be ignored) and a computer exercise (1/3) (deadline June 6).

Literature:

Brenner, Susanne C.; Scott, L. Ridgway. The mathematical theory of finite element methods. Second edition. Texts in Applied Mathematics, 15. Springer-Verlag, New York, 2002. xvi+361 pp. ISBN: 0-387-95451-1 (or the third edition from 2008), the book.

Braess, Dietrich. Finite elements. Theory, fast solvers, and applications in elasticity theory. Translated from the German by Larry L. Schumaker. Third edition. Cambridge University Press, Cambridge, 2007. xviii+365 pp. ISBN: 978-0-521-70518-9

Ciarlet, Philippe G. The finite element method for elliptic problems. North-Holland, Amsterdam,1978

Johnson, Claes. Numerical solution of partial differential equations by the finite element method. Cambridge University Press, Cambridge, 1987. 278 pp. ISBN: 0-521-34514-6;

Ricardo H. Nochetto and Andreas Veeser. Primer of Adaptive Finite Element Methods

Additional notes

Lectures

Additional exercises

Exercises

(in boldface those that have been graded)