9 papers
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…
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…
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…
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…