# Category Archives: Literature

# Recent publications on novel time domain methods

- ParaExp using Leapfrog as Integrator for High-Frequency Electromagnetic Simulations in: Radio Science. doi: 10.1002/2017RS006357.
- Solving nonlinear circuits with pulsed excitation by multirate partial differential equations in IEEE Transactions on Magnetics. doi: 10.1109/TMAG.2017.2759701.
- Parallel-in-time Simulation of Eddy Current Problems using Parareal in IEEE Transactions on Magnetics. doi: 10.1109/TMAG.2017.2763090.

# New paper on Waveform Relaxation for Multiscale Problems

This paper proposes the application of the waveform relaxation method to the homogenization of multiscale magnetoquasistatic problems. In the monolithic heterogeneous multiscale method, the nonlinear macroscale problem is solved using the Newton–Raphson scheme. The resolution of many mesoscale problems per Gauss point allows to compute the homogenized constitutive law and its derivative by finite differences. In the proposed approach, the macroscale problem and the mesoscale problems are weakly coupled and solved separately using the finite element method on time intervals for several waveform relaxation iterations. The exchange of information between both problems is still carried out using the heterogeneous multiscale method. However, the partial derivatives can now be evaluated exactly by solving only one mesoscale problem per Gauss point. Continue reading →

# Book on “Progress in Differential-Algebraic Equations” in production

*“This book contains the proceedings of the 8th Workshop on Coupled Descriptor Systems held March 2013 in the Castle of Eringerfeld, Geseke in the neighborhood of Paderborn, Germany. It examines the wide range of current research topics in descriptor systems, including mathematical modeling, index analysis, wellposedness of problems, stiffness and different time-scales, cosimulation and splitting methods and convergence analysis. In addition, the book also presents applications from the automotive and circuit industries that show that descriptor systems provide challenging problems from the point of view of both theory and practice. The book contains nine papers and is organized into three parts: control, simulation, and model order reduction. It will serve as an ideal resource for applied mathematicians and engineers, in particular those from mechanics and electromagnetics, who work with coupled differential equations.”*

# New Paper in Journal of Mathematics in Industry

# Publication in PAMM on p-refinement in Dynamic Iterations

# Paper on BH-Curves accepted by COMPEL

The paper “Extended Brauer Model for Ferromagnetic Materials: Analysis & Computation” (a joint work with Timo Hülsmann, Andreas Bartel and Herbert De Gersem) has been accepted for publication in COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering. It was also recently presented at SCEE 2012.

Continue reading# Paper on “Winding Functions” accepted

# New article published in SISC

Andreas Bartel, Markus Brunk, Michael Günther, and I have published a new article in the current issue 35(2) of SIAM’s Journal of Scientific Computing (Section: Computational Methods in Science and Engineering). The paper discusses dynamic iteration for coupled problems of electric circuits and distributed devices.

Continue reading# On Open Access Journals

Probably, everybody working in academia is aware of the current Elsevier boycott. The discussion was started by Timothy Gowers on his blog. Recently, he published a summary of the results of the campaign.

However there are only few alternatives, for example “prepaid” journals as Springer’s Open Access series, e.g., Journal of Mathematics in Industry. The market might change soon: a true open access journal “Episciences.org project” was founded. It is based on arxiv and is reported to start publishing in the first half of 2013.