Introduction to the Finite Element Method

Detailes on our lecture "Introduction to the Finite Element Method"


  • Fundamental concepts of discretization and approximation
  • Mathematical modelling with partial differential equations
  • Strong and weak forms of PDEs (variational principle, principle of virtual work, Ritz & Galerkin methods, method of weighted residuals)
  • Isoparametric element formulations for linear continuum elements in heat transfer and structural mechanics
  • Numerical integration and solution of sparse systems linear of equations
  • Enforcement of boundary conditions
  • Mathematical foundations of FEM and convergence analysis (h- & p-refinement, error estimation and adaptivity)
  • Locking phenomena, mixed methods and reduced integration
  • Modal analysis and time-integration methods for dynamics
  • Structural beam and truss elements

Winter term 2023-2024

The lecture is organized in a blended learning format. Learning units with videos, slides, tutorials, and other materials are provided in the Moodle course. Additionally, there will be a weekly interactive lecture session (repetitorium) on Tuesdays at 09:50 for recaps, (group) exercises, hands-on tutorials, and questions.


Lecture name Introduction to the Finite Element Method
Module no. 16-73-5030
Term Winter
Lecturer Prof. Dr. rer. nat. O. Weeger
Responsible assistant Dr.-Ing. Maximilian Kannapinn
Credit points 6
Contact hours Lecture: 3 SWS
Recitation: 1 SWS
Lecture & recitation dates Tue, 09:50-11:20 (repetitorium)
Start of lectures Tue, 17 October 2023
Room S4|10-1 (Dolivostr. 15)
Language English (Summaries and lecture script in German)
Examination Written examination
Further information and materials see TUCaN and Moodle

Usability of this module

  • Master in Mechanical Engineering (Electives Area II)
  • Master in Aerospace Engineering
  • Master in Computational Engineering
  • Master in Mechanics
  • Master in Business Administration/Industrial Engineering – specialising in Mechanical Engineering
  • Master in Mechatronics