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

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 …

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

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

A method is presented that reduces the degrees of freedom (DoFs) in linear subdomains in
transient non-linear electro-quasistatic (EQS) field finite-element method (FEM) simulations …

In the absence of wave propagation, transient electromagnetic fields are governed by a
composite scalar/vector potential formulation for the quasi-static Darwin field model. Darwin …

The non-linear induction problem in an infinite ferromagnetic pate is studied theoretically by
means of the truncated region eigenfunction expansion (TREE) for the 2D case. The non …

The design of electrical machines and high-voltage devices requires the simulation of non-
linear low frequency electromagnetic problems in time domain. Typically magneto-and …

We consider model reduction for magneto‐quasistatic field equations in the vector potential
formulation. A finite element discretization of such equations leads to large‐scale differential …

A combination of the mesh-based finite integration technique with a modal expansion is
proposed for the solution of the eddy-current induction problem in geometries involving …