This module aims to train engineering students (IEE and SEM) on essential concepts of object-oriented programming, numerical methods and optimization. Learning the Java language will allow to program and understand the numerical methods (finite element method) for the modeling and the study of physical systems. Optimization methods as for them aim to design and improve the efficiency of these systems. All student work is done on computer.
This course is structured around three main axes:
Object-oriented programming (28h):
• Introduction to Java: syntax, objects and interfaces.
• Object-oriented design methodologies.
The associated Lab works are:
• Syntax and language structure and implementation of the concept of class (Serie class).
• Syntax and language structure and implementation of the concept of inheritance (Shape problem).
• Project: "Occupancy estimators".
Numerical methods for PDEs (20h for IEE2A / 16h for SEM2A & Master SGB):
• Finite Element Method
Lab works involved are a project structured around the Poisson equation to be solved by the finite element method:
• Studied problem: thermal insulation of a hollow wall.
Optimization and Design of experiments (12h for IEE2A / 16h for SEM2A & Master SGB):
• Optimization Methods: stochastic and deterministic algorithms.
• Method of numerical design of experiments.
For this part, students use industrial software (Got-it and Flux) in order to make lab works:
• Problems and optimization algorithms
• Design of Experiments (Role-play)
• Numerical modeling and optimization of a die press with electromagnet.
Basic notions in computer science.
Courses of numerical methods (1A).
Continuous assessment (CC) : projects and lab reports
The exam is given in english only
The course exists in the following branches:
Course ID : 4EUS3MON
You can find this course among all other courses.
Coulomb J.L., "Optimisation", chapitre 8 de "Electromagnétisme et problèmes couplés", 'Electromagnétisme et éléments finis 3', EGEM, Hermes (2002).
M. Bonjour, G. Falquet, J. Guyot et A. Le Grand, "Java : de l'esprit à la méthode - distribution d'applications sur Internet", International Thomson Publisher, 1996.
Euvrard D., " Résolution numérique des équations aux dérivées partielles ", Masson, Paris (1994).
Danaila I. et al, "Introduction au calcul scientifique par la pratique ", Dunod, Paris (2005).
Date of update February 8, 2017