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 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 …

This paper proposes a framework of waveform relaxation methods to simulate
electromagnetic fields coupled to electric networks. Within this framework, a guarantee for …

Modeling electric circuits that contain magnetoquasistatic (MQS) devices leads to a coupled
system of differential-algebraic equations (DAEs). In our case, the MQS device is described …

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

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 …

The description of discrete electromagnetic fields is achieved with the Maxwell grid
equations, a set of matrix equations representing a spatial discretisation of Maxwell's …

Today's most commonly used circuit models increasingly tend to lose their validity in circuit
simulation due to rapid technological developments, miniaturization and increased …

Modeling with partial differential-algebraic equations is a natural and universal approach
valid for various applications with coupled subsystems. This contribution summarizes the …

Fast linear transformer driver (FLTD) is considered to be one of the most prospective
technologies for the next generation Z-pinch driver. Our goal is to design a single-stage …