Mechanical Engineering Ma, The Finite Element Method, 6 credits
Syllabus:
Maskinteknik AV, Finita Elementmetoden, 6 hp
Mechanical Engineering Ma, The Finite Element Method, 6 credits
General data
- Code: MT008A
- Subject/Main field: Mechanical Engineering
- Cycle: Second cycle
- Credits: 6
- Progressive specialization: A1N - Second cycle, has only first-cycle course/s as entry requirements
- Education area: Technology 100%
- Answerable department: Engineering, Mathematics, and Science Education
- Approved: 2025-03-13
- Version valid from: 2025-09-01
Aim
The aim of the course is to provide knowledge of the theoretical foundations of a finite element (FE) calculation program. Furthermore, the course shall provide knowledge of the limitations and pitfalls that exist and the numerical problems that may arise in connection with the numerical calculations. Finally, the course shall provide sufficient skills to use and modify a finite element method program to solve problems within a given application area.
Course objectives
Upon completion of the course the student should be able to:
- explain the difference between weak and strong formulation of a boundary value problem,
- explain how an FE calculation program is structured,
- explain basic concepts such as compatibility, convergence and assembly,
- explain the limitations of an FE program and the numerical problems that can arise,
- define problems for solution with the finite element method, and solve these with available software.
Content
The course covers the theory of the finite element method and how it is applied to problems in heat conduction and solid mechanics/structural mechanics.
The course begins by reviewing the basics of matrix algebra. Then, simple one-dimensional problems in stationary heat conduction are studied and finite element formulations are derived. After this, multidimensional formulations of the heat conduction problem are studied. Once the theoretical foundation is laid, linear problems within given application areas are studied.
Entry requirements
Introductory courses in linear algebra, differential calculus, integral calculus and classical mechanics, as well as an introductory course in either solid mechanics or thermodynamics.
Selection rules and procedures
The selection process is in accordance with the Higher Education Ordinance and the local order of admission.
Teaching form
Lectures and exercises.
Examination form
M100: Assignments, 6 Credits
Grade scale: Seven-grade scale, A-F o Fx
Link to grading criteria: https://www.miun.se/gradingcriteria.
The examiner has the right to offer alternative examination arrangements to students who have been granted the right to special support by Mid Sweden University’s disabilities adviser.
Grading system
Seven-grade scale, A-F o Fx
Course reading
Required literature
- Author: Ottosen, Petersson
- Title: Introduction to the Finite Element method
- Publisher: Prentice Hall