Contents
- 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
- Modal analysis and time-integration methods for dynamics
- Structural beam and truss elements
Winter term 2024-2025
The lecture is organized in a blended learning format. Learning units with videos, slides, tutorials, and other materials are provided in the Moodle course. Additionally, there will be a weekly interactive lecture session (repetitorium) on Tuesdays at 09:50 for recaps, (group) exercises, hands-on tutorials, and questions.
Details
Usability of this module
- Master in Mechanical Engineering (Electives Area II)
- Master in Aerospace Engineering
- Master in Computational Engineering
- Master in Mechanics
- Master in Business Administration/Industrial Engineering – specialising in Mechanical Engineering
- Master in Mechatronics