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Instructors: Prof. Dr. rer. nat. Oliver Weeger
Event type:
Lecture
Org-unit: Dept. 16 - Mechanical Engineering
Displayed in timetable as:
Introduction FEM
Subject:
Crediting for:
Hours per week:
3
Language of instruction:
Englisch
Min. | Max. participants:
- | -
Course Contents:
- Fundamental concepts of discretization and approximation
- Mathematical modelling with partial differential equations (heat conduction, elasticity, fluid mechanics, electro-magnetics)
- Strong and weak forms of PDEs (variational principle, principle of virtual work, Ritz & Galerkin methods, method of weighted residuals)
- Isoparametric element formulations, basis functions and coordinate transformations
- Numerical integration and assembly
- Solution of sparse linear systems of equations
- Linear continuum elements in structural mechanics (rod, beam, 2D and 3D elements)
- Boundary conditions (Dirichlet, von Neumann and mixed types)
- Mathematical foundations of FEM and convergence analysis
- Adativity (h- & p-refinement), error estimation and adaptivity
- Locking phenomena, mixed methods and reduced integration
Literature:
- Lecture notes and script
- K.-J. Bathe: Finite Element Procedures. K.J. Bathe, Watertown, MA, 2nd edition, 2014
- B. Szabó & I. Babuška: Introduction to Finite Element Analysis: Formulation, Verification and Validation. John Wiley & Sons, 2011
- T.J.R. Hughes: The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. Dover Publications, 2012
Preconditions:
Basic knowledge in Technical Mechanics, Numerical Mathematics and Numerical Methods recommended
Expected Number of Participants:
40
Further Grading Information:
The lecture is conducted in English language and lecture materials are in English. Additionally, summaries in German language will be provided during class and a lecture script in German is provided.
In addition to the lectures a recitation is offered, which includes computer tutorials with MATLAB and finite element software.
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