First results on fast high-order IGABEM

We published a first preprint at arXiv on our research on Isogeometric BEM for Superconducting Cavities (DFG SCHO 1562/3-1 and KU 1553/4-1). In cooperation with the Computational Mathematics group in Basel we discuss the usage of higher order B-splines in view of regularity requirements, convergence of the solution within the domain and multipole compression techniques. Continue reading →

Book “Progress in Differential-Algebraic Equations” is online

IMG_3067.JPG The book “Progress in Differential-Algebraic Equations” is available online and has just been published on SpringerLink:

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 preprint on IGA for cavity simulation

MOX Report 31/2014 The preprint “Isogeometric Simulation of Lorentz Detuning in Superconducting Accelerator Cavities” (Corno, J.; de Falco, C.; De Gersem, H.; Schöps, S.) is online as MOX Report 31/2014. Cavities in linear accelerators suffer from eigenfrequency shifts due to mechanical deformation caused by the electromagnetic radiation pressure, a phenomenon known as Lorentz detuning. In this paper, Isogeometric Analysis is used to discretize both mechanical deformations and electromagnetic fields in a coupled multiphysics simulation approach.

New Paper in Journal of Mathematics in Industry

Mathematics in IndustryThe paper “Efficient frequency-transient co-simulation of coupled heat-electromagnetic problems” together with Christof Kaufmann, Michael Günther, Daniel Klagges, Michael Knorrenschild, Matthias Richwiny and Jan ter Maten has been accepted for publication and will appear soon in the Journal of Mathematics in Industry, a peer-reviewed open access journal published under the brand SpringerOpen.

Paper on BH-Curves accepted by COMPEL

Compel Cover, image taken from

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.

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Paper on “Winding Functions” accepted

Winding functionsToday, a new paper on “Winding Functions in Transient Magnetoquasistatic Field-Circuit Coupled Simulations” (together with Herbert De Gersem and Thomas Weiland) was accepted by COMPEL. The article reviews the mutual coupling of electromagnetic fields in the magnetic vector potential formulation with electric circuits in terms of (modified) nodal and (modified) loop analyses using the abstract concept of “winding functions”. Furthermore the coupling is interpreted in the spirit of Tonti diagrams.

New article published in SISC

SIAM Journal on Scientific Computing (image taken from

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.

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Articles accepted for publication by IEEE Transactions on Magnetics

Cover image of IEEE Transactions on Magnetics taken from

The research during the winter term 2013 has been quite successful also thanks to my collaborators in Wuppertal and Leuven. The following papers will appear in upcoming volumes of IEEE Transactions on Magnetics:

Please see the my publication list for details.