Course unit
Finite Element Method (FEM)
Last updated: 22/02/2024
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Course Director(s):
MOULIN Nicolas
General Description:
With this unit the student will be able to acquire the different notions necessary for the solving of the principle physical equations. Thanks to a well laid out mathematical framework the student will be capable of understanding and applying the phases of numerical modelling and solving of a problem from its variational formulation to a system solution, via. phases of approximation (Finite Elements FE) and discretisation.
Particular care will be given to the analysis of solutions in terms of convergence, stability, precision through the study of meshes, properties of interpolation functions, numerical integration, matrix conditioning …
Key words:
Weak formulation
Numerical integration
Isoparametric FE
Conditioning
System solutions
Number of teaching hours
29
Fields of study
Computer Science, Information Systems
Urban planning, Environment
Mathematics
Mechanical Engineering
Teaching language
French
Intended learning outcomes
| On completion of the unit, the student will be capable of: |
Classification level |
Priority |
| Understanding the different stages of a numerical modelling and simulation approach using FE |
2. Understand |
Essential |
| Applying numerical techniques and methods necessary for the solving of physical problems |
3. Apply |
Essential |
| Analysing the quality of numerical solutions in terms of convergence, stability and precision |
4. Analyse |
Important |
| Developing numerical solution procedures using the finite element method |
7. Create |
Important |
Learning assessment methods
|
Percentage ratio of individual assessment
|
Percentage ratio of group assessment
|
|
Written exam:
|
50
|
%
|
Project submission:
|
0
|
%
|
|
Individual oral exam:
|
0
|
%
|
Group presentation:
|
0
|
%
|
|
Individual presentation:
|
0
|
%
|
Group practical exercise:
|
0
|
%
|
|
Individual practical exercise:
|
0
|
%
|
Group report:
|
50
|
%
|
|
Individual report:
|
0
|
%
|
|
|
|
|
Other(s): 0 %
|
Programme and content
| Type of teaching activity |
Content, sequencing and organisation |
| Course |
Approximation method of numerical solutions: 10h |
| Practical courses |
Application of a numerical modelling and simulation approach using the finite element method: 10h |