IEEE AP-MTT Chapter & IEEE Distinguished Lecturer Program Present:
Model Order Reduction Techniques for Parameter-Dependent Finite-Element Analysis and Design Optimization of Electromagnetic Structures
- Speaker: By Dr. Romanus Dyczij-Edlinger, Professor for Electromagnetic Theory, Dept. of Physics and Mechatronics, Saarland University, GERMANY
- When: Tuesday, October 6, 2009, from 3:00-4:00 p.m.
- Where: The ElectroScience Laboratory, 1320 Kinnear Rd., Columbus, OH 43212 (map)
This event is free and open to the Ohio State campus community and the public. Abstract:
Traditional finite-element analysis requires all system data, such as operating frequency, material properties or geometrical specifications, to be given. I will propose a methodology that treats such quantities as variables. The resulting reduced-order models are of comparable accuracy but much smaller size than the original finite-element systems and can therefore be solved very efficiently at any point in parameter space. Typical solution rates are in the order of some 10 to 100 function evaluations per second, using MATLAB on an ordinary PC. Moreover, methods of model order reduction (MOR) can be tailored such that they preserve important system properties such as conservation of energy and reciprocity.
First, I will discuss single-parameter problems, such as fast frequency sweeps. I will explain the working principles of projection-based single-point and multi-point methods and present applications to driven and eigenmode problems.
The second part of my presentation will focus on the case of multiple parameters. I will introduce the framework of multivariate Krylov spaces, show how to reduce the multi-parameter case to a sequence of single-parameter problems, and discuss the particularities of geometric parameterization. Applications to response surface modeling and numerical optimization will conclude my talk.
Short Bio:
R. Dyczij-Edlinger received the Dr. techn. degree in electrical engineering in 1994 from Graz Technical University, Austria. Until Nov. 1995, he was a post-doctoral fellow with Prof. J.-F. Lee and adjunct assistant professor at Worcester Polytechnic Institute. He then held R&D positions with Motorola CCRL and Ansoft Corp., respectively. Since Sept. 2000, Dr. Edlinger has been a full professor and head of the Chair for Electromagnetic Theory at Saarland University, Germany. His present research interests include model/order reduction and finite-element methods in electromagnetics.