Introduction to the Finite Element Method

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


Lecture name Introduction to the Finite Element Method
Module no. 16-19-5030
Term Winter
Lecturer Prof. Dr. rer. nat. O. Weeger
Responsible assistant Iman Valizadeh, M.Sc.
Credit points 6
Contact hours Lecture: 3 SWS
Recitation: 1 SWS
Lecture & recitation dates Tue, 10:00-11:30
Fri, 11:45-13:15
Room S4|10 1
Start of lectures Tue, 15 October 2019
Language English (Summaries and lecture script in German)
Examination Written or oral examination (TBA)
Further information and
lecture notes
see TUCaN
and Moodle

Usability of this module

  • Master in Mechanical Engineering (MPE Electives Area II, PST Electives Area III)
  • Master in Computational Engineering
  • Master in Mechanics