The current tasks in engineering consider on the one hand the material and structural behavior in the context of structural analysis. On the other hand, inverse problems for the optimal choice of materials and structures in the context of structural optimization gain more and more importance. The Numerical Methods and Information Processing (NMI) group at TU Dortmund University has a long tradition in research and teaching in the field of inverse problems in computational mechanics. This lecture is based on the expertise of the working group and is offered to all interested students of all disciplines of the UAR universities.
- Introduction (notation, model problems, applications, main research topics)
- Basics of mathematical optimization (theory, numerics and applications)
- Fundamentals of topological optimization (theory, numerics and applications)
- Fundamentals of shape optimization (theory, numerics and applications)
- Overview of the methods of sensitivity analysis
- Overview of possible topics for (Master) theses
The numerical implementation of the theory is done with the program MATLAB. The exercises take place in the computer pool of the Faculty of Architecture and Civil Engineering (August-Schmidt-Str. 8, room 335).
The lecture material will be made available in the Moodle workroom BMSD-SO.
Notes on the lecture
The lecture is offered within the framework of 4 SWS, if necessary in English.
The course is intended for students of the master programs Bauingenieurwesen (civil engineering), Maschinenbau (mechanical engineering), Technomathematik (Technomathematics), Computational Mechanics and other comparable programs of the UAR universities.
The number of credits that can be taken depends on the workload of the individual study program.