Content of course
In this optional class the mathematical foundation of the Finite
Element Method (short FEM) will examined. A few
sample problems will be solved to illustrate the method. Students will
learn how the differents steps are implemented in a programming language.
Content of course
The finite element method can be used to find solution to a great
variety of problems: conduction of heat, elasticity, electric and
magnet fields, fluid flow problems and many more. This course will present
the mathematical foundation of the Finite Element Method.
We examine the theory with the help of a few sample problems.
These presented algorithms will be implemented in a programming language
and the resulting code is presented in class.
More complex problems can be solved with the PDE toolbox of
The keywords below indicate the topics to be covered
- extremas of functions of one or multiple variables
- Finite Element solution of the problem of a system of bars
- Finite Element solution of the problem of one streched bar with variable
- Finite Element solution for a transversal vibrations of a bar, using
eigenvalues to determine the resonance frequencies
- General FEM problems with functions of one variable, e.g. heat
conduction in a bar, bending of beams.
- FEM problems with functions of two variables, e.g. heat conduction in a
plate, electric fields.
- Matlab PDE-Toolbox
- How to solve large systems of linear equations
- Solving elastic problems with the FEM, plain strain and plane stress
Extensive lecture notes will be handed out. The notes are written in
Language to be used in class
The language is to be chosen by the participants. The options are:
English, French or German. The use of multiple languages is possible.
Compared to previous years the mathematical requirements of the course are
lowered and more concrete examples are considered.
This class is particularly useful for students using the CAD system at
Biel School of Engineering and Architecture.
The class does not depend on knowledge of the CAD system.
If questions arise contact the instructor by e-mail