Reduced Basis (and Friends) Summer School 2017

The Reduced Basis (and Friends) Summer School (RBSS) is an event organized by young scientists for young scientists. It aims at master students and PhD students in the field of Model Order Reduction.

The RBSS 2017 will take place from 19th September to 22nd September 2017 (departure after lunch) at Hotel Hessenkopf, Goslar, Germany. Accommodation is available from 18th September 2017. The workshop will start on September 19th at 9 o’clock.

Research topics in all aspects of model order reduction are welcome, in particular

• Model Order Reduction for Parametrized Systems
• Model Order Reduction for Linear and Nonlinar Systems
• Model Order Reduction in Optimization, Control and UQ
• Reduced-Basis Methods

As the main purpose of this event is to get to know each other, everyone is encouraged to give a talk about their latest results and/or their current research problems.

For further information, please see the webpage of the RBSS2017: www.rbss2017.de

Local Organization team:
Christian Bertram
Heike Faßbender
Anna Sauerbrei
Tanja Schenk

Affiliation:
TU Braunschweig, Institut Computational Mathematics, AG Numerik
https://www.tu-braunschweig.de/icm/numerik

Venue:
Hotel Hessenkopf, Goslar
http://www.hessenkopf-goslar.de/

Open Research Positions at SISSA, mathLab, Trieste, Italy

Open research position between SISSA, International School for Advanced Studies, Mathematics Area, mathLab, Trieste, Italy (mathlab.sissa.it) and FINCANTIERI spa, worldwide leader in ship constructions. The researcher will be based in FINCANTIERI Trieste under the scientific responsability of Prof. Gianluigi Rozza with the project “Prow and stern hull shape optimisation by parameterised algorithms in an open source environment”

Deadline March 20, 2017 -info: https://www.sissa.it/gare/show_announcements.php?id=2267

This position is related with shape optimisation and parametrisation of hull shapes or parts of it through the development of advanced numerical methods which will be tested with fluid dynamics solvers and relevant efficiency indexes.

Two further positions are:
Deadline March 6, 2017 – info: http://www.sissa.it/gare/show_announcements.php?id=2248
Deadline March 10, 2017 – info: http://www.sissa.it/gare/show_announcements.php?id=2258

These positions are in the framework of FSE program HEaD (Higher Education and Developments) and POR-FESR, both sponsored by Regione Friuli Venezia Giulia.
Topics:
computational fluid dynamics, fluid-structure interactions, multi-physics, free-surface flows, turbulence, optimisation, control, reduced order methods.
Competences:
mathematical modelling, numerical analysis, scientific computing and programming, CFD, Open Foam.

Two new open positions as post-doc research associate at SISSA

Two new open positions as post-doc research associate at SISSA mathLab (mathlab.sissa.it) are available:

Deadline March 6, 2017: http://www.sissa.it/gare/show_announcements.php?id=2248
Deadline March 10, 2017: http://www.sissa.it/gare/show_announcements.php?id=2258

The positions are in the framework of FSE program HEaD (Higher Education and Developments) and POR-FESR, both sponsored by Regione Friuli Venezia Giulia.
Topics: computational fluid dynamics, fluid-structure interactions, multi-physics, free-surface flows, optimisation, control, reduced order methods.
Competences: mathematical modelling, numerical analysis, scientific computing and programming, Open Foam.

Model reduction course HYDRA

Please find below the draft program for the model reduction course that will be organized at the TU/e from March 6-9, 2017, in the context of the Marie Curie EID project HYDRA. The course is also open for participants outside the project. If you are interested, please let the organiser know as soon as possible. The course will be generic and not focused on HYDRA-type models. The course will be held at the Eindhoven University of Technology, Department of Mechanical Engineering, in conjunction with the Department of Mathematics and Computer Science (Prof. Wil Schilders). More info how to get to our department (building Gemini, number 15 on the map) can be found at: http://www.tue.nl/en/university/about-the-university/accessibility-tue-campus/

HYDRA MOR course 1
Model reduction course HYDRA
March 6-9, 2017, Eindhoven, The Netherlands
This course is organized in the context of the European Marie Curie EID project HYDRA (“Hydraulics Modeling for Drilling Automation”), see http://cas.mines-paristech.fr/~dimeglio/HYDRA
The course covers a wide range of techniques in the area of model order reduction. The course can also be attended by students and researchers from outside the HYDRA project. If you wish to attend, please send an email to the project coordinator, Nathan van de Wouw at n.v.d.wouw@tue.nl, before February 20.
Course lecturers:
• Nathan van de Wouw (Eindhoven Univ. of Technology, Department of Mechanics, The Netherlands)
• Wil Schilders (TU Eindhoven, Dept. of Mathematics and Computer Science, The Netherlands)
• Bart Besselink (University of Groningen, The Netherlands)
• Martin Grepl (RWTH Aachen University, Institut fuer Geometrie und Praktische Mathematik, Germany)
• Wim Michiels (Department of Computer Science, KU Leuven, Belgium)

HYDRA MOR course 2
Day 1 (March 6)
Balancing for linear finite-dimensional systems
Day 1 offers lectures and exercises on balancing techniques for the model reduction for models in terms of linear ordinary differential equations.
09:00 – 09.20: Welcome & Introduction to model reduction (Nathan van de Wouw)
09:20 – 10:20: Balancing (Nathan van de Wouw)
10:30 – 11.00: Break
11:00 – 12.30: Exercise
A laptop with Matlab is required to be able to participate in the exercises.
12:30 – 13:30: Lunch
13.30 – 14.30: Frequency-weighted and closed-loop balancing (Bart Besselink)
14.30 – 15:00: Break
15:00 – 16:30: Exercise

HYDRA MOR course 3
Day 2 (March 7)
Krylov-based reduction methods for linear finite-dimensional systems
Day 2 offers lectures on Krylov-based techniques for the model reduction for models in terms of linear ordinary differential equations.
09:00 – 9.20: Welcome, program, introduction (Wil Schilders)
09:20- 10:20: Krylov methods in numerical linear algebra (Wil Schilders)
10:30 – 11.00: Break
11:00 – 12.30: Krylov methods for model order reduction (Wil Schilders)
12:30 – 13:30: Lunch
13.30 – 14.30: Structure and property preservation, including DAEs (Wil Schilders)
14.30 – 15:00: Break
15:00 – 16:30: Coupled problems (Wil Schilders)

HYDRA MOR course 4
Day 3 (March 8)
Balancing for linear finite-dimensional nonlinear systems
Day 2 offers on model reduction techniques for models in terms of nonlinear ordinary differential equations.
09:00 – 09:20: Intro to model reduction for nonlinear systems (Bart Besselink)
09:20 – 10:30: Balancing-based model reduction for nonlinear systems with local nonlinearities (Nathan van de Wouw)
10:30 – 11:00: Break
11:00 – 12:30 Balancing for nonlinear systems (Bart Besselink)
In the morning part of the course, balancing-type techniques for the model reduction of nonlinear systems are introduced, guaranteeing the preservation of (input-output) stability properties and providing guarantees on the accuracy of the reduction.
12:30 – 13:30: Lunch
13.30 – 17:00: Reduced basis methods, EIM and DEIM (Martin Grepl, RWTH Aachen University)
In this part of the course, we present an overview of reduced basis approximations and associated a posteriori error estimation procedures for certain classes of nonlinear parametrized partial differential equations. We begin by briefly recalling the essential reduced basis ingredients for a linear affine elliptic problem: (i) Galerkin projection onto a subspace spanned by solutions of the governing equation at N greedily selected points in parameter space, (ii) residual based a posteriori error estimation procedures to provide rigorous and sharp bounds for the error, and (iii) offline-online computational procedures to
decouple the generation and evaluation stage of the reduced basis method, i.e., the operation count in the online stage depends only on the dimension of the reduced order model.
We then extend these ideas to problems involving a nonaffine and nonlinear dependence on the field variable. To this end, we combine the reduced basis method with the empirical interpolation method (EIM) – a tool to construct “affine” coefficient-function approximations of the “nonaffine” or nonlinear parameter dependent functions. We discuss a posteriori error estimation procedures which take the error introduced by the reduced basis approximation and the error induced by the coefficient function interpolation explicitly into account. The EIM allows to derive an efficient offline-online computational
procedure even in the presence of highly nonlinear terms. We present numerical results for several model problems and a non-isothermal reaction-diffusion model to validate our approach.

HYDRA MOR course 5
Day 4 (March 9): Model reduction for delay systems
Day 4 offers lectures on model reduction for models in terms of delay differential equations.
09:00 – 10:30: Model reduction for linear time-delay systems: a guided tour (Wim Michiels, Department of Computer Science, KU Leuven)
The aim of the lecture is to present an overview of model reduction techniques for large-scale time-delay systems, focusing on their main principles and properties. After discussing fundamental properties of delay systems, I outline how approaches based on moment matching (Krylov and data driven variants) and approaches based on balanced truncation can be generalized from LTI
systems to time-delay systems. Both reduction methods where the reduced model is in the form a standard LTI system, and structure preserving methods, where the reduced model has the same, delay structure as the large-scale
system, are considered.
10:30 – 11:00: Break
11:00 – 12:30: Model reduction for linear time-delay systems: a guided tour, continued
12.30 – 13.30: Lunch
13.30 – 14:30: Balancing approaches for linear and nonlinear delay differential equations (Nathan van de Wouw, Bart Besselink)
This part of the course focuses on providing an introduction to a recently developed model reduction approach for linear and nonlinear delay differential equations.
14.30 – 15.00: Closure

Prof Wil Schilders