Coupled DAE Problems

A circuit (DAE model) coupled to a magnetostatic field device (PDE model)
Coupled Problems of differential-algebraic equations (DAEs) arise typically from either multiphysical modeling (e.g. in circuit simulation with heating) or from refined modeling, where crucial parts of the original problem are replaced by a better, but computational more expensive model (e.g. circuits refined by field models). Furthermore splitting methods may turn a monolithic DAE problem into coupled subproblems, e.g. because of different time scales (multirate). In any case the DAEs arise from network approaches or space-discretization of PDAEs (Partial Differential Algebraic Equations).
Often the coupled equations have quite different properties, i.e., symmetries, definiteness or time scales. Thus the coupled system must be analyzed (e.g. the index) and tailored methods have to be developed (e.g. dynamic iteration).
Details
Publications
- 2019
4016.
Ehrhardt, Matthias
Transparent nonlinear networks
Physical Review E, 100 (3) :032204
2019
Herausgeber: American Physical Society4015.
Ehrhardt, Matthias
Transparent nonlinear networks
Physical Review E, 100 (3) :032204
2019
Herausgeber: American Physical Society4014.
Ehrhardt, Matthias
Transparent quantum graphs
Physics Letters A, 383 (20) :2382–2388
2019
Herausgeber: North-Holland4013.
Ehrhardt, Matthias
Transparent quantum graphs
Physics Letters A, 383 (20) :2382--2388
2019
Herausgeber: North-Holland4012.
Ehrhardt, Matthias
Transparent quantum graphs
Physics Letters A, 383 (20) :2382–2388
2019
Herausgeber: North-Holland4011.
Pulch, Roland; Putek, Piotr; Maten, E. Jan W.; Schoenmaker, Wim
Uncertainty quantification: Introduction and implementations
In ter Maten, E. Jan W. and Brachtendorf, Hans-Georg and Pulch, Roland and Schoenmaker, Wim and De Gersem, Herbert, Editor aus Mathematics in Industry
Seite 197–221
Herausgeber: Springer Cham
2019
197–2214010.
Netzel, Katrin
Untersuchung von Lignin aus Papierabwässern mittels Py-GCxGC/TOF-MS und Ofenpyrolyse
20194009.
Karg, Patrick
Untersuchung zu Imid-Amid-Gleichgewichten bei Hydroxycarbonsäure-Amiden
20194008.
Rapp, Ulrike
Untersuchung zur Quantifizierung von Mikroplastik mittels offline-Py-GCxGC-MS
20194007.
Otte, Adrian
Untersuchungen von Holzproben aus unterschiedlichen Holzschichten
20194006.
Goss, Jonas
Untersuchungen von Totholz nicht-heimischer Arten in Arnsberg sowie Totholz von Mammutbäumen in Kaldenkirchen
20194005.
Schlösser, Leonie Gwindy
Untersuchungen zur Gewässersanierung
20194004.
[german] Kremer, Richard; Tausch, Michael W.
Unterwegs zur künstlichen Photosynthese - Photokatalytische Reduktionen in Modellexperimenten
Chemie und Schule, 34 (3) :15-29
20194003.
Eichfelder, Gabriele; Klamroth, Kathrin; Niebling, Julia
Using a {B}&{B} algorithm from multiobjective optimization to solve constrained optimization problems
AIP Conference Proceedings 2070
Herausgeber: AIP Publishing
20194002.
Bolten, M.; Hahn, C.
Using composite finite elements for shape optimization with a stochastic objective functional
In I. Farag{\'o} and F. Izs{\'a}k and P. L. Simon, Editor, Progress in Industrial Mathematics at ECMI 2018Band30ausMathematics in Industry, Seite 515--520
In I. Farag{\'o} and F. Izs{\'a}k and P. L. Simon, Editor
Herausgeber: Springer, Cham
20194001.
Bolten, Matthias; Hahn, C.
Using composite finite elements for shape optimization with a stochastic objective functional
In I. Farago and F. Izsak and P. L. Simon, Editor, Progress in Industrial Mathematics at ECMI 2018Band30ausMathematics in Industry, Seite 515-520
In I. Farago and F. Izsak and P. L. Simon, Editor
Herausgeber: Springer, Cham
20194000.
Bolten, M.; Hahn, C.
Using composite finite elements for shape optimization with a stochastic objective functional
In I. Farago and F. Izsak and P. L. Simon, Editor, Progress in Industrial Mathematics at ECMI 2018Band30ausMathematics in Industry, Seite 515-520
In I. Farago and F. Izsak and P. L. Simon, Editor
Herausgeber: Springer, Cham
20193999.
Janssen, Rick; Gillon, Renaud; Wieers, Aarnout; Deleu, Frederik; Guegnaud, Hervé; Reynier, Pascal; Schoenmaker, Wim; Maten, E. Jan W.
Validation of simulation results on coupled problems
In ter Maten, E. Jan W. and Brachtendorf, Hans-Georg and Pulch, Roland and Schoenmaker, Wim and De Gersem, Herbert, Editor aus Mathematics in Industry
Seite 517–563
Herausgeber: Springer Cham
2019
517–5633998.
Adam, Ahmad Y.; Yachmenev, Andrey; Yurchenko, Sergey N.; Jensen, Per
Variationally Computed IR Line List for the Methyl Radical CH\(_{3}\)
The Journal of Physical Chemistry A, 123 (22) :4755-4763
2019
Herausgeber: American Chemical Society3997.
Adam, Ahmad Y.; Yachmenev, Andrey; Yurchenko, Sergey N.; Jensen, Per
Variationally Computed IR Line List for the Methyl Radical CH\(_{3}\)
The Journal of Physical Chemistry A, 123 (22) :4755-4763
2019
Herausgeber: American Chemical Society3996.
Adam, Ahmad Y.; Yachmenev, Andrey; Yurchenko, Sergey N.; Jensen, Per
Variationally Computed IR Line List for the Methyl Radical CH3
The Journal of Physical Chemistry A, 123 (22) :4755-4763
2019
Herausgeber: American Chemical Society3995.
Weichold, Cathrerine; Behler, Ansgar; Melchior, David; Busch, Stefan; Kling, Hans-Willi; Lange, Karsten; Jakob, Bernd
Verfahren zur Herstellung einer oberflächenaktiven Mischung umfassend Kondensationsprodukte von alpha-Hydroxycarbonsäuren mit 1,2-Alkandiolen
20193994.
Weichold, Cathrerine; Behler, Ansgar; Melchior, David; Busch, Stefan; Kling, Hans-Willi; Lange, Karsten; Jakob, Bernd
Verwendung von 1,2-Alkandiolen als Schaumverbesserer für Citronensäureestertenside umfassend ethoxylierte Alkohole
20193993.
Ankirchner, Stefan; Kruse, Thomas; Urusov, Mikhail
Wasserstein convergence rates for random bit approximations of continuous Markov processes
Journal of Mathematical Analysis and Applications, 493 (2) :124543
2019
Herausgeber: Academic Press3992.
Ankirchner, Stefan; Kruse, Thomas; Urusov, Mikhail
Wasserstein convergence rates for random bit approximations of continuous Markov processes
Journal of Mathematical Analysis and Applications, 493 (2) :124543
2019
Herausgeber: Academic Press