21 citations · 71 across the 20 of their papers we have counts for
11 papers · 1 filter
Tree-cotree gauging for two-dimensional hierarchical splines
Melina Merkel, Rafael Vázquez
In magnetostatics and eddy current problems, formulated in terms of the magnetic vector potential, the solution is not unique, because the addition of an irrotational function to t…
A stabilized Two-Step Formulation of Maxwell's Equations in the time-domain
Leon Herles, Mario Mally, Jörg Ostrowski +2
Simulating electromagnetic fields across broad frequency ranges is challenging due to numerical instabilities at low frequencies. This work extends a stabilized two-step formulatio…
A Two-Step Formulation of Maxwell's Equations Using Generalized Tree-Cotree Gauges for Low-Frequency-Stability
Leon Herles, Mario Mally, Jörg Ostrowski +2
This paper presents a new low-frequency stabilization for a two-step formulation solving the full set of Maxwell's equations. The formulation is based on a electric scalar and magn…
An Air-Gap Element for the Isogeometric Space-Time-Simulation of Electric Machines
Michael Reichelt, Michael Wiesheu, Melina Merkel +2
Space-time methods promise more efficient time-domain simulations, in particular of electrical machines. However, most approaches require the motion to be known in advance so that…
Arbitrary order spline representation of cohomology generators for isogeometric analysis of eddy current problems
Bernard Kapidani, Melina Merkel, Sebastian Schöps +1
The eddy current problem has many relevant practical applications in science, ranging from non-destructive testing to magnetic confinement of plasma in fusion reactors. It arises w…
How to Build the Optimal Magnet Assembly for Magnetocaloric Cooling: Structural Optimization with Isogeometric Analysis
Michael Wiesheu, Melina Merkel, Tim Sittig +5
In the search for more efficient and less environmentally harmful cooling technologies, the field of magnetocalorics is considered a promising alternative. To generate cooling span…
On torque computation in electric machine simulation by harmonic mortar methods
Herbert Egger, Mané Harutyunyan, Richard Löscher +2
The use of trigonometric polynomials as Lagrange multipliers in the harmonic mortar method enables an efficient and elegant treatment of relative motion in the stator-rotor couplin…
Tree-Cotree Decomposition of Isogeometric Mortared Spaces in H(curl) on Multi-Patch Domains
Bernard Kapidani, Melina Merkel, Sebastian Schöps +1
When applying isogeometric analysis to engineering problems, one often deals with multi-patch spline spaces that have incompatible discretisations, e.g. in the case of moving objec…
On the stability of harmonic mortar methods with application to electric machines
Herbert Egger, Mané Harutyunyan, Melina Merkel +1
Harmonic stator-rotor coupling offers a promising approach for the interconnection of rotating subsystems in the simulation of electric machines. This paper studies the stability o…
ParaExp using Leapfrog as Integrator for High-Frequency Electromagnetic Simulations
Melina Merkel, Innocent Niyonzima, Sebastian Schöps
Recently, ParaExp was proposed for the time integration of linear hyperbolic problems. It splits the time interval of interest into sub-intervals and computes the solution on each…
An Application of ParaExp to Electromagnetic Wave Problems
Melina Merkel, Innocent Niyonzima, Sebastian Schöps
Recently, ParaExp was proposed for the time integration of hyperbolic problems. It splits the time interval of interest into sub-intervals and computes the solution on each sub-int…