Research Activities by Project Areas
*) image source: Wikimedia Commons
Projects
Model Order Reduction
Model Reduction for Mechanical Systems
Structural models of mechanical systems usually appear in the
form of second order ODEs. Most MOR approaches rewrite
these into first order form and thus derive first order reduced
order models (ROMs). Here we focus on the exploitation of
the second order structure and the generation of second order
ROMs.
Coordinator: Dr. J. Saak
| Title | Scientist | Funding | Period |
| Model order reduction for thermo-elastic assembly group models | Dr. J. Saak, N. Lang |
DFG SFB/Transregio 96 | since 07/2011 |
| Model Reduction for Mechanical Systems with Piezo Actuators | M. M. Uddin Dr. J. Saak |
MPI, Chemnitz UT, Fraunhofer IWU (Dresden) |
since 09/2010 |
Parametric Model Reduction
We develop new methods for parameter-preserving model
reduction, which are based on interpolation as well as hybrid
techniques using system-theoretic approaches together with
partial interpolation. These approaches efficiently reduce the
large dimension of parameter-dependent systems as they
arise in several application areas, e.g. in microsystems
technology.
Coordinator: Dr. L. Feng
| Title | Scientist | Funding | Period |
| Multivariate Interpolation Methods for Parametric Model Reduction (Model Reduction of Bilinear Systems) |
T. Breiten | MPI DFG |
since 01/2010 since 01/2012 |
| Interpolatory Methods for Parametric Model Reduction | Prof. P. Benner Dr. U. Baur |
MPI, Virgina Tech | since 02/2009 |
| Parametric MOR for Thermal Problems | A. Bruns | Bosch | since 06/2011 |
Model Reduction for Micro- and Nanotechnical Systems
In this research area different model order reduction methods
for the design of micro- and nanoscale integrated circuits and
systems are developed. Special requirements are the
consideration of linear systems with many input and output
terminals, the analysis of the electromagnetic influence
described by Maxwell's equations using uncertainty
quantification and the treatment of nonlinear models.
Coordinator: Prof. P. Benner
| Title | Scientist | Funding | Period |
| MoreSim4Nano Model reduction for fast simulation of new semiconductor structures within nanotechnology and microsystems technology | J. Schneider, Dr. U. Baur |
BMBF | since 01/2011 |
| Reduced Basis Methods for Electromagnetic Problems | M. Heß | MPI | since 01/2011 |
Model Reduction of Nonlinear Systems
On the one hand, we investigate the application of snapshot-
based methods (POD, RB) for application in highly nonlinear
systems in process engineering applications. On the other
hand, we develop a new methodology which is not snapshot-
based and thus free of selecting training inputs. The reduced-
order models will therefore be applicable under a wider range
of operation conditions.
Coordinator: Prof. P. Benner
| Title | Scientist | Funding | Period |
| MOR by Rewriting to (Quadratic-)Bilinear System Order Reduction | T. Breiten | MPI | since 01/2011 |
| Model Order Reduction for Chromatographic Processes | Dr. L. Feng, Y. Zhang, Dr. S. Li |
MPI (with PCF group) | since 04/2011 |
| Dynamic, Analysis and Control of Anaerobic Digestions Processes for Biogas Production | T. Breiten | MPI (with PSE group) | since 11/2010 |
Scientific Computing
Numerical (Multi-)Linear Algebra
We study linear and nonlinear eigenvalue problems with
special structures arising in control, boundary element
methods, or molecular dynamics. Moreover, we investigate the
solution of special linear systems of equations arising in
PDE control and MOR algorithms.
Coordinator: Dr. M. Stoll
| Title | Scientist | Funding | Period |
| Efficient Solution and Preconditioning of Linear Systems | Dr. M. Stoll | MPI, ESF OPTPDE | since 10/2011 |
| Large Scale Matrix Equations | Prof. P. Benner, M. Köhler, Dr. J. Saak |
MPI | since 04/2010 |
| Large Scale and Nonlinear Eigenvalue Problems | Prof. P. Benner, P.Kürschner |
Université du Littoral Cote d'Opale MPI |
since 06/2010 since 08/2011 |
| Fast solvers for phase field models | Dr. M. Stoll, J. Bosch |
MPI | since 01/2012 |
High Performance Computing
We investigate the parallel solution of the numerical problems
related to the projects of the research group. The applications
range from shared memory parallelization on modern multi-
core CPU workstations and graphics processors to massively
parallel approaches employing the new Linux Cluster otto of
the Institute.
Coordinator: Dr. Jens Saak
| Title | Scientist | Funding | Period |
| Poweraware Scientific Computing | Dr. A. Remón | MPI UJI Castellon |
seit 05/2013 |
| Development of Parallel Software Libraries (M.E.S.S.) | Prof. P. Benner, M. Köhler, Dr. J. Saak |
MPI | since 10/2007 |
| Multicore and (Multi-)GPU Computing | M. Köhler, Dr. J. Saak, Dr. A. Remön |
MPI | since 10/2009 |
| Linux Cluster otto | Prof. P. Benner, M. Köhler, Dr. J. Saak |
MPI | since 05/2010 |
| HPC solvers for PDE-constrained optimization | Dr. M. Stoll, Dr. A. Barker |
MPI | since 01/2013 |
Computer Aided Control Systems Design (CACSD)
Numerical Methods for Control Systems
This research topic mainly deals with numerical
algorithms for robust control and stabilization of
descriptor systems. One focus is the construction of
(sub-)optimal H-infinity controllers or the computation of
system norms by using spectral information of certain
structured matrix pencils. Another important point is the
development of efficient and robust software to solve these
problems.
Coordinator: Prof. P. Benner
| Title | Scientist | Funding | Period |
| Numerical algorithms for generalized eigenvalue problems of even structure with application in robust control of descriptor systems | Dr. P. Losse, M. Voigt |
DFG, MPI, TU Berlin |
06/2006-06/2010 since 08/2010 |
Development of the Systems and Control Library SLICOT | M. Voigt | SynOptio GmbH | since 02/2011 |
| Periodic Control Systems: Analysis, Efficient Model Reduction and Development of Numerical Algorithms | Dr. M. S. Hossain J. Denißen |
MPI | since 09/2011 |
| Optimal Damping of Vibrating Systems | P. Kürschner M. Voigt J. Denißen |
DAAD | since 01/2013 |
| Control and Stabilization of multiple pendulums | P. Kürschner C. Miller D. M. Venkat |
MPI | since 2012 |
Control of Partial Differential Equations
Our team focuses on the numerical aspects of optimal control
problems with PDE constraints. We concentrate on the
efficient solution of the underlying matrix equations in the form
of linear saddle point systems or matrix Riccati equations.
Coordinator: Dr. Martin Stoll
| Title | Scientist | Funding | Period |
| All-at-Once Solution of PDE Constrained Optimization Problems | Dr. M. Stoll | MPI | since 05/2011 |
| Solution of the Inverse Heat Conduction Problem (IHCP) using LQR Techniques | N. Lang, Dr. J. Saak |
MPI, Fraunhofer IWU (Chemnitz) | since 11/2010 |
| Optimal Control-Based Feedback Stabilization in Multi-Field Flow Problems. | H. Weichelt | DFG priority programme 1253 | since 11/2006 |
| Boundary Feedback Stabilisation Using Non-Conforming Finite Elements | H. Weichelt Dr. J. Saak Dr. P. Skryzpacz |
MPI | since 02/2012 |
| Optimal Control of Chemical Processes | Prof. Dr. P. Benner Dr. M. Stoll Dr. H. Yücel |
MPI | since 10/2012 |
Concluded Projects
| Title | Scientist | Funding | Period |
| Algorithms for Rank and Tensor Structured Matrices | T. Mach | MPI, Free State of Saxony | 05/2008-06/2012 |
| Simulation of the Glyphosate Aerial Spray Drift at the Ecuador-Colombia border | Dr. J. Saak, Dr. R. Schneider |
SENACYT (Ecuadorian National Organization of Science), EPN Quito (Ecuador) | 07/2009-12/2011 |
| Modern model reduction methods for elastic components in the simulation of flexible multi body systems | Dr. J. Saak, P. Kürschner |
Forschungsvereinigung Verbrennungskraftmaschinen e.V. | 02/2010-12/2011 |
| SyreNe System Reduction for Nanoscale IC Design | A. Schneider, T. Mach, Dr. U. Baur, M. Sahadet Hossain |
BMBF | 07/2007-12/2010 |
| Numerical Solution of Optimal Control Problems with Instationary Diffusion-Convection and Diffusion-Reaction Equations | Dr. S. Hein, Dr. J. Saak, Dr. H. Mena |
DFG | 01/2006-09/2010 |
| Adaptive mesh refinement for Riccati equation based optimal control of PDEs | Dr. R. Schneider | TU-Chemnitz | 01/2008-05/2010 |
| Integrated Simulation of the System "Machine Tool - Actuation - Stock Removal Process" based on Model Order Reduction of the Structural FEM Model | Dr. J. Saak | DFG, MPI, iwb (TU Munich), Chemnitz University of Technology | 01/2007-2/2010 |
| O-MOORE-NICE! Operational MOdel Order REduction for Nanoscale IC Electronics | Dr. M. Striebel | EU Marie Curie Industry Host Fellowships | 02/2007-01/2010 |
| Automatic anisotropic mesh refinement for FEM | Dr. R. Schneider | TU-Chemnitz | 10/2005-05/2010 |
| Automatic, Parameter-Preserving Model Reduction for Applications in Microsystems Technology. | Dr. U. Baur Dr. L. Feng |
DFG | 10/2006-12/2009 |
| Parallel algorithms for large-scale sparse algebraic
Riccati equations and application in control
within DAAD programme "Acciones Integradas Hispano-Alemanas" |
Dr. J. Saak | DAAD | 2006-2007 |
| Integration of system-theoretic methods in model reduction into simulation tool for the development of electric circuits | A. Schneider T. Rothaug R. Günzel |
TU-Chemnitz, Infineon Technologies AG | 08/2005-06/2006 |
|
Parallel numerical solution of optimal
control problems with instationary
diffusion-convection-reaction equations
(SFB393 project A15) |
Prof. P. Benner, Dr. J. Saak |
TU-Chemnitz | 10/2003 - 12/2005 |
| Numerical Algorithms for Matrix Equations and Structured
Eigenvalue Problems Promotion of scientific exchange between scientists in Germany and scientists in Middle and Eastern Europe |
Prof. P. Benner, Dr. V. Sima |
11/2005-12/2005 | |
| Numerical methods for robust control | DFG | 6/2002 - 3/2005 | |
| Calculation of torsional vibrations for gear train
control assemblies in combustion engines
Cooperation with Ingenieursgesellschaft Auto und Verkehr (IAV GmbH) |
04/2004 - 10/2004 | ||
| Model reduction for large-scale systems in control and circuit simulation | Dr. U. Baur | DFG project D1 | 06/2002 - 09/2004 |