21 citations · 71 across the 20 of their papers we have counts for
21 papers
Subdivision-based isogeometric analysis for axisymmetric electromagnetic problems
Devin Balian, Sebastian Schöps, Melina Merkel
This paper applies a subdivision-based isogeometric method to solve the axisymmetric Maxwell eigenvalue problem. The reduction to an -formulation allows to use a Catmull-Clark…
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…
Extending the Numerical Flow Iteration to the multi-species Vlasov-Maxwell system through Hamiltonian Splitting
Rostislav-Paul Wilhelm, Fabio Bacchini, Sebastian Schöps +3
The Numerical Flow Iteration (NuFI) method has recently been proposed as a memory-slim while accurate in phase-space method for the electro-static Vlasov--Poisson system. It stores…
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…
On Domain Decomposition for Magnetostatic Problems in 3D
Mario Mally, Melina Merkel
The simulation of three dimensional magnetostatic problems plays an important role, for example when simulating synchronous electric machines. Building on prior work that developed…
Tree-Cotree-Based Tearing and Interconnecting for 3D Magnetostatics: A Dual-Primal Approach
Mario Mally, Bernard Kapidani, Melina Merkel +2
The simulation of electromagnetic devices with complex geometries and large-scale discrete systems benefits from advanced computational methods like IsoGeometric Analysis and Domai…
Spline-Based Rotor and Stator Optimization of a Permanent Magnet Synchronous Motor
Michael Wiesheu, Theodor Komann, Melina Merkel +3
This work features the optimization of a Permanent Magnet Synchronous Motor using 2D nonlinear simulations in an Isogeometric Analysis framework. The rotor and stator designs are o…
Combined Parameter and Shape Optimization of Electric Machines with Isogeometric Analysis
Michael Wiesheu, Theodor Komann, Melina Merkel +3
In structural optimization, both parameters and shape are relevant for the model performance. Yet, conventional optimization techniques usually consider either parameters or the sh…
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…
Low-Frequency Stabilization of Dielectric Simulation Problems with Conductors and Insulators
Devin Balian, Melina Merkel, Jörg Ostrowski +2
When simulating resistive-capacitive circuits or electroquasistatic problems where conductors and insulators coexist, one observes that large time steps or low frequencies lead to…
On the computation of analytic sensitivities of eigenpairs in isogeometric analysis
Anna Ziegler, Melina Merkel, Peter Gangl +1
The eigenmodes of resonating structures, e.g., electromagnetic cavities, are sensitive to deformations of their shape. In order to compute the sensitivities of the eigenpair with r…
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…
Torque Computation with the Isogeometric Mortar Method for the Simulation of Electric Machines
Melina Merkel, Bernard Kapidani, Sebastian Schöps +1
In this work isogeometric mortaring is used for the simulation of a six pole permanent magnet synchronous machine. Isogeometric mortaring is especially well suited for the efficien…
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…
Shape Optimization of Rotating Electric Machines using Isogeometric Analysis and Harmonic Stator-Rotor Coupling
Melina Merkel, Peter Gangl, Sebastian Schöps
This work deals with shape optimization of electric machines using isogeometric analysis. Isogeometric analysis is particularly well suited for shape optimization as it allows to e…
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…