Purpose–The purpose of this paper is to review the mutual coupling of electromagnetic
fields in the magnetic vector potential formulation with electric circuits in terms of (modified) …

This paper surveys different analytical aspects of differential-algebraic models of electrical
and electronic circuits. The use of DAEs in circuit modelling has increased in the last two …

Coupled systems of differential-algebraic equations (DAEs) may suffer from instabilities
during a dynamic iteration. We extend the existing analysis on recursion estimates, error …

In this paper, the usage of the Parareal method is proposed for the time-parallel solution of
the eddy current problem. The method is adapted to the particular challenges of the problem …

This treatise was written during my employment at the Chair of Angewandte Mathematik und
Numerische Analysis of the Bergische Universität Wuppertal and my post-graduate research …

In this paper, we propose an optimized field/circuit coupling approach for the simulation of
magnetothermal transients in superconducting magnets. The approach improves the …

Starting from space-discretisation of Maxwell's equations, various classical formulations are
proposed for the simulation of electromagnetic fields. They differ in the phenomena …

In some applications, there arises the need of a spatially distributed description of a physical
quantity inside a device coupled to a circuit. Then, the in-space discretised system of partial …

Combining three themes---port-Hamiltonian energy-based modeling, circuit structural
analysis, and structural analysis of differential-algebraic equations---we form a new model …

This book deals with the analysis and development of numerical methods for the time-
domain analysis of multiphysical effects in superconducting circuits of particle accelerator …