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Høst 2024
DTE-3612 FEM theory and implementation - 5 stp
The course is administrated by
Institutt for datateknologi og beregningsorienterte ingeniørfag
Type of course
This course can be taken as a single subject.
Course contents
The theoretical part of this course includes consideration of various boundary value problems, such as heat and wave equations; strong and weak formulations of PDEs; Neumann and Dirichlet boundary conditions. The practical part of the course covers the implementation of the Delaunay triangulation, assembly of stiffness and mass matrices, visualization techniques, comparison of the computed result with the analytical solution.
Admission requirements
A relevant undergraduate Bachelor degree in Engineering program in computer science or equivalent.
In addition, the following requirements must be met:- minimum 25 credits in mathematics (equivalent to Mathematical Methods 1, 2 og 3), 5 credits in statistics and 7,5 ects i physics on a higher level is required.
Application Code: 9371
Objective of the course
On completion of the course, the student is expected to have the following learning outcomes:
Knowledge:
- Fundamental knowledge about the Finite Element Method and its applications
- Detailed knowledge about the FEM algorithm and its implementation
- General approach to solving various boundary value problems
- Analysis of the performance of numerical models
Skills:
- Ability to implement the FEM algorithm from scratch
- Solve various physical problems both analytically and numerically
- Perform analysis of the numerical solution
- Ability to write a scientific report that includes problem description, mathematical and programming approaches, representation of the result, comparative analysis
Competence:
- The candidate will be able to work critically on practical problems, have a comprehensive vision of the solution process
- Understanding of the main ideas and concepts of mathematical modeling in the context of solving partial differential equations
Language of instruction
English
Teaching methods
This course contains lectures and practical sessions. Lecture notes and presentations will be provided. The students will work on the mandatory project under supervision during the practical sessions. Several options for the project task will be proposed.