COM4: Optimal Control of PDEs

label Diverse autorenew 2025-09-29, 17:01 history_edu Maria Dumitru
The fact that many physical phenomena can be described by partial differential equations (PDEs) has made the optimal control of PDEs one of the central principles in applied mathematics. In particular, it plays a key role as an important tool in many real-world applications, such as in electromagnetism, mechanics, aerodynamics, nanotechnologies, medicine, and many others. Along with technological advances in computers, a deep understanding in this discipline could potentially lead to economic benefits and high productivity. This course will give basic concepts in the theory of the optimal control governed by linear elliptic PDEs. The main topics include:- the existence theory for optimal solutions in Sobolev spaces- the KKT theory based on variational inequalities- basic algorithms including their numerical implementations using FEniCS.

Period
18-08-2014 - 22-08-2014 (1 weeks)

Target group
Prerequisities: Basic calculus. Very basic knowledge in functional analysis and linear elliptic partial differential equations will be useful. The course is aimed at graduate students as well as advanced undergraduate students.

Course aim
The most important aims of the Summer School are to develop post-graduates scientific readiness and to offer students the possibility to study in a modern, scientific environment and to create connections to the international science community.



Credits
3.0 ECTS credits

Course fee
EUR 0[Convert to USD]Participating the Summer School is free of charge, but student have to cover the costs of own travel, accommodation and meals at Jyvskyl.

Course leader
Coordinator: Dr. Sanna Mnkl (University of Jyvskyl, Finland)Lecturer: Prof. Dr. Irwin Yousept (Technische Universitt Darmstadt, Germany), and M.Sc. Vera Bommer (Technische Universitt Darmstadt, Germany)

Scholarships
The 24th Jyvskyl Summer School is not able to grant any Summer School students financial support. In order to ensure your participation, we recommend that you take steps to secure your own funding, for example, by turning first to your home institution

University of Jyvaskyla Faculty of Mathematics and Science and Faculty of Information Technology
Address: Jyvaskyla Summer School, Faculty of Mathematics and Science P.O.Box 35 (YK312), FIN-40014 University of Jyvaskyla, Finland
Postal code: FIN-40014
City: Jyvaskyla
Country: Finland
Website: http://www.jyu.fi/summerschool
E-mail: jss@jyu.fi
Phone: +358505818351