# Course 2017

## Applied and Computational Mathematics in Engineering Application

**March 20th to 24th, 2017 at University of Aveiro, Portugal**

The course focus on data acquisition, data analysis, and mathematical modeling.

Course materials can be found here.

Hours | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|

09:00 - 10:30 | G. Teschke ^{1)} | G. Teschke ^{1)} | T. Lahmer ^{1)} | D. Penava ^{1)} | G. Karólyi |

10:45 - 12:15 | D. Legatiuk ^{1)} | I. Pereira ^{2)} | I. Pereira ^{2)} | T. Lahmer ^{1)} | G. Karólyi |

Lunch break | |||||

14:00 - 15:30 | I. Pereira ^{1)} | N. Lopes ^{1)} | self-study | D. Penava ^{2)} | self-study |

15:45 - 17:15 | D. Legatiuk ^{2)} | G. Teschke ^{1)} | self-study | T. Lahmer M. Alalade ^{2)} | self-study |

self study & social events |

^{1)} ... Lecture ^{ 2)} ... Project

*G. Teschke, University of Applied Sciences Neubrandenburg, Germany*

- Data modeling (real world, physical modeling, discrete data)
- Study of data errors with examples from the calculation of derivatives
- Data sampling design based on error models / general sampling approaches
- Data Mining (classification, SMV with examples of object recognition)
- Applications

*D. Legatiuk, Bauhaus Universität Weimar, Germany*

- Modern modelling concepts in engineering

*I. Pereira / N. Lopes, University of Aveiro, Portugal*

- Statistical Data Analysis, Time series analysis

*T. Lahmer, Bauhaus Universität Weimar, Germany*

- Optimal Design of Experiments

- How to gather data for the identification of parameters in models?
- Fisher Information based approaches
- Methods for minimizing mean squared reconstruction errors

- Optimization in Engineering Problems

- Concepts and Methods for Nonlinear Optimization
- Local Search Methods
- Methods for non smooth functions
- Global Methods
- Application: Calibration of Models

*D. Penava, Josip Juraj Strossmayer, University of Osijek, Croatia*

- An orthotropic material model for static linear-elastic finite element analysis

- simple example of static linear-elastic orthotropic behaviour
- general derivation using the principle of virtual work
- constitutive component
- discretized kimenatics and solution
- computer implementation

*G. Károlyi, Budapest University of Technology and Economics, Hungary*

- Dimensionless numbers in mathematical modeling

- Buckingham's theorem
- Example: oscillations
- Example: fluid mechanics
- Example: buckling
- Case study: aircraft impact into roboust structures