FEM theory and implementation
About the course
This course can be taken as a single subject.
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
Objectives 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.
Prerequisites
Anbefalte forkunnskaper
DTE-3611 Algorithms - Design and Analysis, DTE-3801 Partial differential equations, MAT-3800 Linear Algebra II, MAT-3801 Numerical Methods
Teaching methods
Language of instruction and examination
EnglishSchedule
The schedules are normally finalized and published well in advance of the start of the semester, often a few weeks beforehand. This gives students the opportunity to organize their studies and prepare for upcoming activities.
It is recommended to check the schedule regularly, as changes may occur.
Examination
| Oral exam | Duration: 40 Minutes |
Grade: A–E, fail F |
To take an examination, the student must have passed the following coursework requirements
| Report and Source Code | Grade: Approved – not approved |
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