- Docente: Valeria Simoncini
- Credits: 6
- SSD: MAT/08
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Mathematics (cod. 8208)
Learning outcomes
At the end of the course the student is able to numerically analyze
1D and 2D Poisson and convection-diffusion equations by means of
various techniques, such as the Galerkin finite element method and
finite differences.
Course contents
The 1D and 2D Poisson equation. Analysis of the problem. Finite
difference discretization. Weak formulation. Galerkin finite
element method. Numerical solution. 2D convection-diffusion
equation. Analysis of the problem. Finite difference
discretization. Weak formulation. Finite element approximation.
Numerical solution.
Readings/Bibliography
"Finite elements and Fast Iterative solvers", with applications in incompressible fluid dynamics. H. Elman, D. Silvester and A. Wathen. Oxford Univ. Press, 2005
Teaching methods
Classroom lectures and computer lab sessions.
Assessment methods
Oral exam.
Teaching tools
Lecture notes. Textbook. Computer laboratory (a few hours).
Links to further information
http://www.dm.unibo.it/~simoncin/AN_Mate.html
Office hours
See the website of Valeria Simoncini