Basic Module - MSc PROgrammes
Course Convenor: Prof. Dr.-Ing. habil. Martin Ruess
Content
Introduction to the basic principles of the Finite Element Method for the solution of problems based on ordinary/partial differential equations (fe-analysis pipeline, fields of applications); derivation of the governing set of equations for various physical problems (thermal, elasticity, flow problems, etc., governing differential, integral and algebraic equations, method of weighted residuals, Galerkin formulation); element formulations (approximation spaces, algebraic & numerical properties), assembly, mesh generation, enforcement of constraints, solution methods and solution properties, accuracy and convergence measures/ properties, model errors, algorithmic aspects, modeling aspects and software implementation aspects for linear analyses. Modeling and solution of engineering problems with commercial software packages.
Competences / Learning Outcomes
The participants have
- a solid understanding of and scientific insight to the fundamentals of the finite element method, including all aspects of the simulation pipeline. Moreover, they are familiar with numerical & algorithmic aspects of modern software tools.
- the ability to
- derive the set of equations governing physical field problems
- develop, implement and test various types of finite elements
- choose and assess the performance properties of finite elements
- pre- and postprocess analysis-suited models and to assess the numerical results with regard to accuracy, reliability and computational performance
The participants are familiar with
- the basic functionality of commercial finite element platforms
- modeling issues and error sources of computational models
- the basic aspects of verification and validation
Prerequisites
Solid Programming Skills (Matlab|Java|C++), Foundations of Engineering Mathematics and Mechanics
