M1100-CMS32
Finite Element Methods
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| Module Owner: |
N.N. |
| Displayed in timetable as: |
CMS-CMA-FEM |
| Duration: |
7 |
| Number of electives: |
0 |
| Credits: |
5,0
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| Start Semester: |
WiSe 2020/21 |
| Lecturer Responsible |
Prof. Dr. Axel Voigt
axel.voigt@tu-dresden.de
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| Qualification Goals |
The students master the theory and practice of the finite element method (FEM) for the numerical solution of partial differential equations. The students have a systematic understanding of the theory of FEM, especially of convergence results. They have knowledge of algorithmic questions and implementation aspects in software, have basic knowledge and experience in the modelling of application-related problems, for example in the fields of fluid mechanics and materials science. In addition, the students are able to independently analyse specific problems of selected areas of application and to solve them with suitable FEM procedures. |
| Content |
The module content covers all essential aspects of the Finite Element Method, including the theory, the implementation and their applications. In particular, the following will be covered: Convergence and errors of finite element methods, mathematical formulation of the method, implementation on serial and parallel computers, algorithms for finite element situations, modelling using finite elements. Examples and applications are considered from the fields of fluid mechanics and materials science. |
| Forms of Teaching and Learning |
3 hours of lectures and one exercise per week plus independent study |
| Prerequisites for Participation |
Numerical Competences of Ordinary Differential Equations (See, for example, Gerald, Wheatley: Applied Numerical Analysis (chapters 1-6), Pearson, 2003, or Ferziger: Numerical Methods for Engineering Application (Chapters 1-5), Wiley, 1998) |
| Applicability |
The module is a compulsory module for students of the Computational Modelling and Simulation master's degree program Tracks Computational Mathematics. The module creates the prerequisites for the modules CMS-CMA-MODSEM and CMS-CMA-ELV2. |
| Prerequisites for the Assignment of Credit Points |
The credit points are awarded if the module examination is passed. For more than 10 registered students, the module examination consists of a written examination amounting to 120 minutes. For up to 10 registered students, it consists of an oral examination as a group examination with up to 3 students lasting 20 minutes; this will be announced to the enrolled students at the end of the enrollment period.
Exam preparation is an exercise of 10 hours. |
| Credit Points and Grades |
This module allows for the earning of 5 credit points.
The module grade corresponds to the grade of the examination performance. |
| Frequency of Offer |
The module is offered each year during the winter semester. |
| Workload |
The workload is a total of 150 hours. |
| Duration of Module |
The module takes one semester. |
| Module Number Module Handbook TU Dresden |
CMS-CMA-FEM |
