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
- 5555
5616.
Song, Yongcun; Wang, Ziqi; Zuazua, Enrique
Approximate and Weighted Data Reconstruction Attack in Federated Learning
IEEE Transactions on Big Data
5555- 2026
5615.
Arora, Sahiba; Mui, Jonathan
Smoothing of operator semigroups under relatively bounded perturbations
Journal of Mathematical Analysis and Applications
November 20265614.
Schumann, Ronja; Bock, Andreas; Majer, Felix; Baumann, Michael; Olney-Fraser, Michael; Kazak, Lev; Jelezko, Fedor; Kuehne, Alexander J. C.; Göstl, Robert
Mechanochemical Activation of a Bridged-Exciplex Optical Force Probe
Advanced Science, 13 :e77144
August 2026
ISSN: 2198-38445613.
Storch, Sonja; Göstl, Robert
Can polymer mechanochemistry stop a bullet?
Chem, 12 (8) :103191
August 2026
ISSN: 2451-92945612.
Göstl, Robert; Wong, Wai-Yeung; Zhang, Xinxing
Mechanoluminescence: emerging trends and future perspectives
Journal of Materials Chemistry C, 14 (29) :12879–12881
Juli 2026
ISSN: 2050-75265611.
[German] Meuter, Nico; Bohrmann-Linde, Claudia
Thermodynamische Betrachtungen des Entropieversuchs mit Citronensäure und Natriumcarbonat-Decahydrat
CHEMKON
Juli 20265610.
Keyvani, Majid Barzegar; Fu, Zongwen; Göstl, Robert; Shokri, Hamed; Putignano, Carmine; Percoco, Gianluca; Gökce, Bilal
Additive Manufacturing of Alumina-Reinforced Elastomers
Advanced Engineering Materials, 28 :e71082
Juli 2026
ISSN: 1527-26485609.
Storch, Sonja; Wienen, David; Lennarz, Regina; Lauwigi, Tobias; Gries, Thomas; Meisner, Jan; Göstl, Robert
A Thermally Stable and Processable [4 + 2] Photodimer of π-Extended Anthracene as an Optical Force Probe for Damage Detection in Thermoplastics
Journal of the American Chemical Society, 148
Juli 2026
ISSN: 0002-78635608.
Gao, Xiang; Chakraborty, Gurudas; Urhahne, Felix Joel; Lantzius-Beninga, Marcus; Lennarz, Regina; Fan, Jilin; Stappert, Kara; Meisner, Jan; Göstl, Robert; Herrmann, Andreas
The mechanochemical activation of a pyrimidine dimer
Chemical Science, 17 (21) :10589-10599
Juni 2026
ISSN: 2041-65395607.
Glück, Jochen; Mui, Jonathan
Non-positivity of the heat equation with non-local Robin boundary conditions
Journal of Differential Equations
Juni 20265606.
Pollmeier, Pascal; Ponath, Jonas; Bohrmann-Linde, Claudia; Rubner, Isabel; Sommer, Katrin; Fechner, Sabine
Digital und praxisnah: Was Chemielehrkräfte sich von (digitalisierungsbezogenen) Fortbildungen wünschen
CHEMKON
April 20265605.
Xu, Zhuo
Input-to-state type Stability for Simplified Fluid-Particle Interaction System
IMA Journal of Mathematical Control and Information, 43 (3)
März 20265604.
Kiesling, Elisabeth; Grandrath, Rebecca; Bohrmann-Linde, Claudia
Von der Querschnittsaufgabe BNE zur Unterrichtsplanung: Ein Umsetzungsbeispiel zum Thema Fette für den Chemieunterricht der Sekundarstufe II
MNU-Journal, 02/2026 :141-146
März 20265603.
Kunze, Markus; Mui, Jonathan; Ploss, David
Elliptic operators with non-local Wentzell-Robin boundary conditions
Journal of Spectral Theory
Februar 20265602.
Barmin, Roman A.; Moosavifar, MirJavad; Rama, Elena; Blöck, Julia; Rix, Anne; Petrovskii, Vladislav S.; Gumerov, Rustam A.; Köhler, Jens; Pohl, Michael; Bastard, Céline; Rütten, Stephan; Charlton, Laura; Khiêm, Vu Ngoc; Domenici, Fabio; Lisson, Thomas; Savina, Ekaterina; Zhang, Rui; Baier, Jasmin; Koletnik, Susanne; Koutsos, Vasileios; Itskov, Mikhail; Paradossi, Gaio; Schmitz, Georg; Vermonden, Tina; De Laporte, Laura; Göstl, Robert; Herrmann, Andreas; Potemkin, Igor I.; Kiessling, Fabian; Lammers, Twan; Pallares, Roger M.
Microbubble Shell Stiffness Engineering Enhances Ultrasound Imaging, Drug Delivery, and Sonoporation
Advanced Materials, 38 (6) :e07655
Januar 2026
ISSN: 1521-40955601.
Tapera, Michael; Savvidis, Athanasios; Meysing, Cedric; Gómez-Suárez, Adrián; Kirsch, S. F.
Oxidative Cleavage of β-Substituted Primary Alcohols in Flow
Organic Letters
Januar 2026
Herausgeber: ACS
ISSN: 1523-70525600.
Maity, Sayan; Vinod, Vivin; Zaspel, Peter; Kleinekathöfer, Ulrich
∆-Machine Learning for LC-DFT-level Excitation Energies of Bacteriochlorophyll Molecules in a LH2 Complex
ChemRxiv preprint
20265599.
Krieger, Emil; Schweitzer, Marcel
A general framework for Krylov ODE residuals with applications to randomized Krylov methods
accepted for publication in Electron. Trans. Numer. Anal.
20265598.
Prinz, Kathrin; Nemesch, Levin; Ruzika, Stefan
A High-Performance Parallel Algorithm for Multi-Objective Integer Optimization
20265597.
Ocqueteau, Vicente
Analysis of a Model for a Floating Platform Coupled with a Flexible Beam
20265596.
Abel, Ulrich; Acu, Ana Maria; Heilmann, Margareta; Raşa, Ioan
Asymptotic expansions for generalized Bernstein-Durrmeyer and genuine Bernstein-Durrmeyer operators
Complex Anal. Oper. Theory, 20
20265595.
Abel, Ulrich; Acu, Ana Maria; Heilmann, Margareta; Raşa, Ioan
Asymptotic properties for a general class of Szász-Mirakjan-Durrmeyer operators
Mathematical Methods in the Applied Sciences :734–743
20265594.
Elghazi, Bouchra; Jacob, Birgit; Zwart, Hans
Boundary control systems on a one-dimension spatial domain
20265593.
Abel, Ulrich; Acu, Ana-Maria; Heilmann, Margareta; Raşa, Ioan
Commutativity for a general class of Bernstein-Durrmeyer operators
20265592.
Sinani, Mario A.; Palacios, Rafael; Fasel, Urban; Wynn, Andrew
Data-Driven Parametric Aeroelastic Modeling of the Pazy Wing
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