lmeca2300  2022-2023  Louvain-la-Neuve

5.00 credits
30.0 h + 30.0 h
Q2
Teacher(s)
Language
English
Main themes
• Integral Methods
• Finite elements
• Spectral and pseudo-spectral Methods
• Error estimation, adaptivity, mesh generation
• Techniques of resolution of large (non-)linear systems
• Implementation data-processing: parallel calculation, use of the specialized libraries, techniques of numerical programming.
Learning outcomes
 At the end of this learning unit, the student is able to : 1 In consideration of the reference table AA of the program"Masters degree in Mechanical Engineering", this course contributes to the development, to the acquisition and to the evaluation of the following experiences of learning: AA1.1, AA1.2, AA1.3 AA2.2, AA2.3, AA2.4 AA3.1, AA3.3 AA6.1, AA6.4 Advanced numerical methods The requirements for the students are the following: To select and to apply the right method for a given problem. To evaluate the algorithmic complexity of a method. To efficiently use the numerical available libraries (Lapack) To provide an estimate of the error. To evaluate the quality of a mesh for a given method. To perform a calculation on a parallel architecture. To program a simple integral method. To program a method finite elements. To solve in an iterative way of the (non-)linear large systems
Content
• Integral Methods.
• Finite elements.
• Spectral and pseudo-spectral Methods.
• Error estimation, adaptivity, mesh generation.
• Techniques of resolution of large (non-)linear systems.
• Implementation data-processing: parallel calculation, use of the specialized libraries, techniques of numerical programming.
Teaching methods
In the pratical organisation, a great importance will be given to collaborative projets. Flexibility will be emphazed in order to focus on a problem solving approach.
Evaluation methods
Exam.
Homeworks are also graded and the obtained marks contribute to the final grade. Note that a pass grade (> 10) has to be obtained at the exam for the homework grades to be accounted for.

Online resources
Faculty or entity

#### Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme
Sigle
Credits
Prerequisites
Learning outcomes
Master [120] in Biomedical Engineering

Master [120] in Mechanical Engineering

Master [120] in Electrical Engineering

Master [120] in Physical Engineering

Master [120] in Electro-mechanical Engineering

Master [120] in Mathematical Engineering