Research

My primary research interest is field/circuit coupling: electric circuits contain devices that exhibit different electromagnetic effects. Traditionally these devices are idealized and only one effect is considered, while the others are disregarded. This yields simple laws that mathematically express the transient behavior of those basic elements, but they do not conform to reality. So sometimes these elements are not accurate enough and one wants to replace a subset of elements by a refined model. My current research involves methods for the efficient coupling of those basic circuit elements and the refined field models, especially if different time constants occur, e.g., when the circuit is switching at a higher frequency than the field parts.

Research Topics

  • Numerical Time-Integration
    • Differential Algebraic Equations (DAEs)
    • Stiff Problems
  • Computational Electromagnetics
    • Finite Integration Technique (FIT)
    • Finite Element’s Method (FEM)
    • Differential Forms
    • Nonlinear Materials
  • Coupling
    • Co-Simulation
    • Waveform-Relaxation
    • Multirate Time-Integration

Publications

Book Chapters
[2010] Coupled Multiscale Simulation and Optimization in Nanoelectronics, chapter: PDAE Modeling and Discretization (Giuseppe Ali, Massimiliano Culpo, Roland Pulch, Vittorio Romano, Sebastian Schöps), (Michael Günther, ed.), Springer, 2010, in preparation.
[2010] Coupled Multiscale Simulation and Optimization in Nanoelectronics, chapter: Dynamic iteration schemes for PDAEs (Giuseppe Ali, Andreas Bartel, Massimiliano Culpo, Michael Günther, Sebastian Schöps), (Michael Günther, ed.), Springer, 2010, in preparation.
Journal Articles
[2010] Fitting Lumped Machine Models on the Fly (Sebastian Schöps, Herbert De Gersem, Andreas Bartel), 2010, submitted.
[2010] A Cosimulation Framework for Multirate Time-Integration of Field/Circuit Coupled Problems (Sebastian Schöps, Herbert De Gersem, Andreas Bartel), In IEEE Transactions on Magnetics, volume 46, 2010. [preprint] [doi]
[2010] Structural analysis of electrical circuits including magnetoquasistatic devices (Andreas Bartel, Sascha Baumanns, Sebastian Schöps), 2010, submitted. [preprint]
Conference Papers
[2010] DAE-Index and Convergence Analysis of Lumped Electric Circuits Refined by 3-D MQS Conductor Models (Sebastian Schöps, Andreas Bartel, Herbert De Gersem, Michael Günther), In Scientific Computing in Electrical Engineering (Janne Roos, Luis R. J. Costa, eds.), Springer, 2010. [preprint] [doi]
Other Publications
[2008] Coupling and Simulation of Lumped Electric Circuits Refined by 3-D Magnetoquasistatic Conductor Models Using MNA and FIT (Sebastian Schöps), Master’s thesis, Bergische Universität, 2008. [preprint]
[2004] Optimale Wege (Sebastian Schöps, Stefan Lackner), Bachelor’s thesis, Bergische Universität, 2004. [preprint]