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20162026
most citedParallel-In-Time Simulation of Eddy Current Problems Using Parareal

36 citations · 287 across the 41 of their papers we have counts for

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8 papers · 1 filter

math.NA2026

A Reduced Magnetic Vector Potential Approach with Higher-Order Splines

Merle Backmeyer, Laura A. M. D'Angelo, Brahim Ramdane +1

This work presents a high-order isogeometric formulation for magnetoquasistatic eddy-current problems based on a decomposition into Biot-Savart-driven source fields and finite-elem…

math.NA2023

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…

math.NA2023★ 7 cited

A Stabilized Circuit-Consistent Foil Conductor Model

Elias Paakkunainen, Jonas Bundschuh, Idoia Cortes Garcia +2

The magnetoquasistatic simulation of large power converters, in particular transformers, requires efficient models for their foils windings by means of homogenization techniques. I…

math.NA2022★ 7 cited

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…

math.NA2021★ 7 cited

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…

math.NA2021★ 11 cited

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…

math.NA2021★ 18 cited

On the Stability of Mixed Finite-Element Formulations for High-Temperature Superconductors

Julien Dular, Mane Harutyunyan, Lorenzo Bortot +3

In this work, we present and analyze the numerical stability of two coupled finite element formulations. The first one is the h-a-formulation and is well suited for modeling system…

math.NA2016★ 2 cited

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…