After successful completion of the course, students are able to understand and present materials from the mathematical literature regarding "reduced Basis Methods" for finite element methods. Further, the students are able to implement the corresponding algorithms.
We deal with the numerical treatment of reduced basis methods (RBM) for finite elements. During the last decade, reduced order modeling has attracted growing interest in computational science and engeneering. It plays an important role in delivering high-performance computing across industrial domains, from mechanical to electronic engineering, and in the basic and applied sciences. including neurosciences, medicine, biology, chemistry, and many more.
Talks to be presented by the students will be devoted to various
classes of problems and numerical methods in RBM.
Use of blackboard, possibly combined with beamer presentation. Handout,
and accordingly presentation of own numerical results.
Reduced Basis Methods for Partial Differential Equations - An Introduction
by Alfio Quarteroni, Andrea Manzoni, Federico Negri
