# Overview

Overview of available benchmarks

## Oberwolfach Model Reduction Benchmark Collection

Oberwolfach benchmark collection contains benchmarks related to model order reduction. Its goal is to supply to the researches from different fields with the dynamic systems in a computer-readable format in order to test new algorithms, software,etc.

For submitting a new benchmark, please refer to the submission rules.

## Benchmark list:

- The butterfly gyro
- Linear 1D beam model
- Active control of a supersonice engine inlet
- Tunable optical filter
- A Semi-discretized Heat Transfer Problem for Optimal Cooling of Steel Profiles
- Nonlinear heat transfer modelling
- Axi symmetric infinite element model for circular piston
- Boundary Condition Independent Thermal Model
- Micropyros Thruster
- Convective Thermal Flow Problems
- Microhotplate Gas sensor
- Beam Actuated by Electrostatic Force
- Spiral Inductor PEEC Model
- Structural model of a car windscreen
- Trabecular Bone Micro-Finite Element Models

## History

### October 19 - October 25, 2003, Mathematisches Forschungsinstitut Oberwolfach

The mini-workshop was organized by Peter Benner (Chemnitz), Gene Golub (Stanford), Volker Mehrmann (Berlin) and Danny C. Sorensen (Houston). The main goal of this miniworkshop was to discuss different approaches for model order reduction of large-scale systems with special emphasis on numerical aspects of model reduction algorithms. There were 16 talks, informal discussion sessions and an open problems session. The topics included spectral projection model reduction methods, proper orthogonal decomposition method for optimal control problems, balanced truncation model reduction for linear systems in descriptor form and systems of second order, Krylov subspace methods for structured systems, controller reduction problems, passivity preserving model reduction techniques as well as different application areas for model reduction. It was decided to organize a benchmark collection of real-wold problems for use in comparative studies and testing of model order reduction algorithms. A proceedings book will also be published that will contain survey papers on problems posed during the mini-workshop and their solutions.

More information is at http://www.math.tu-berlin.de/numerik/mt/NumMat/Meetings/0310_MFO/