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FEM Simulations of Nonlinear Processes

Module name (EN):
Name of module in study programme. It should be precise and clear.
FEM Simulations of Nonlinear Processes
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Electrical Engineering, Master, ASPO 01.10.2013
Module code: E1923
SAP-Submodule-No.:
The exam administration creates a SAP-Submodule-No for every exam type in every module. The SAP-Submodule-No is equal for the same module in different study programs.
P211-0241
Hours per semester week / Teaching method:
The count of hours per week is a combination of lecture (V for German Vorlesung), exercise (U for Übung), practice (P) oder project (PA). For example a course of the form 2V+2U has 2 hours of lecture and 2 hours of exercise per week.
4V (4 hours per week)
ECTS credits:
European Credit Transfer System. Points for successful completion of a course. Each ECTS point represents a workload of 30 hours.
5
Semester: according to optional course list
Mandatory course: no
Language of instruction:
German
Assessment:
Project work

[updated 05.06.2025]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

E1923 (P211-0241) Electrical Engineering and Information Technology, Master, ASPO 01.04.2019 , optional course, technical, course inactive since 31.03.2020
E943 Electrical Engineering, Master, ASPO 01.10.2005 , optional course
E1923 (P211-0241) Electrical Engineering, Master, ASPO 01.10.2013 , optional course, technical
MST.FSP Mechatronics and Sensor Technology, Master, ASPO 01.04.2016 , optional course, course inactive since 18.04.2016
MST.FSP Mechatronics and Sensor Technology, Master, ASPO 01.10.2011 , optional course
Workload:
Workload of student for successfully completing the course. Each ECTS credit represents 30 working hours. These are the combined effort of face-to-face time, post-processing the subject of the lecture, exercises and preparation for the exam.

The total workload is distributed on the semester (01.04.-30.09. during the summer term, 01.10.-31.03. during the winter term).
60 class hours (= 45 clock hours) over a 15-week period.
The total student study time is 150 hours (equivalent to 5 ECTS credits).
There are therefore 105 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
None.
Recommended as prerequisite for:
Module coordinator:
Prof. Dr. Harald Wern
Lecturer: Prof. Dr. Harald Wern

[updated 14.10.2015]
Learning outcomes:
After successfully completing this course, students will have learned the basic concepts of the finite element method, relevant numerical methods like the Gauss quadrature, as well as the solution of variation problems and partial differential equations.

[updated 05.06.2025]
Module content:
Principles of difference methods
-        Principle and most simple formulas
-        Taylor’s theorem
-        Approximation of first and second-order derivatives
-        Explicit and implicit systems
-        Stable and unstable systems
-        Grids and boundary conditions
-        Irregular grids
-        Higher derivative on quadratic grids
-        High accuracy differentiation formulas
-        Numerical dispersion
-        Examples:
Finite elements
- Finite elements and their nodes
- Solving discrete systems
Stationary and eigenvalue problems
- Calculating continuous systems
- Differential formulation, variational formulation
- The Ritz Method, the Galerkin Method
- Formulation of the finite element method, linear calculation in solid state and structural mechanics
- Formulation and calculation of isoparametric finite element matrices
- Finite elements in non-linear solid state and structural mechanics
- Finite element method for field problems
 
Concrete case studies from mechanics and electrical engineering and solutions with Marc & Mentat on the computers in the laboratory for computer-aided applications.


[updated 05.06.2025]
Teaching methods/Media:
Lecture notes, transparencies, video projector, PC, CD

[updated 05.06.2025]
Recommended or required reading:
Dietrich Marsal, Finite Differenzen und Elemente, Springer Verlag 1989
O. Zienkiewicz, Methode der finiten Elemente, Hanser Verlag 1984
Klaus-Jürgen Bathe, Finite-Elemente-Methoden, Springer Verlag 1986


[updated 05.06.2025]
 
[Wed Jun 18 06:48:57 CEST 2025, CKEY=efezsnp, BKEY=em2, CID=E1923, LANGUAGE=en, DATE=18.06.2025]