&lt;inline-formula&gt; &lt;tex-math notation="LaTeX"&gt;${A}$ &lt;/tex-math&gt; &lt;/inline-formula&gt;–&lt;inline-formula&gt; &lt;tex-math notation="LaTeX"&gt;${T}$ &lt;/tex-math&gt; &lt;/inline-formula&gt; Volume Integral Formulations for Solving Electromagnetic Problems in the Frequency Domain

Meunier, G.; Chadebec, Olivier; Guichon, Jean‐Michel; Le-Van, Vinh; Siau, Jonathan; Bannwarth, Bertrand; Sirois, Frédéric

doi:10.1109/tmag.2015.2496243

Cited by 8 publications

(2 citation statements)

References 16 publications

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“…In effect, for this formulation, GMRES solver converged after 220 iterations without any preconditioning technique and computational time was 103 s. In the same conditions, it took 580 iterations and 240 s for B-facet formulation. This difference can be explained by the fact that the A formulation resolves the original linear equation system whereas the B formulation has to deal with a linear equations system depending the choice of independent loops [8], [15].…”

Section: A Team Workhop Problem 13mentioning

confidence: 99%

A Magnetic Vector Potential Volume Integral Formulation for Nonlinear Magnetostatic Problems

et al. 2016

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Volume integral method (VIM) has been known as an interesting alternative to the finite-element method for electromagnetic field computation. Since only the active regions have to be meshed, VIM is very efficient for modeling of electromagnetic devices containing a predominated air volume. It is also adapted for multistatic studies with motion or optimization strategies. The aim of this paper is to propose a magnetic vector potential volume integral formulation in order to deal with the 3-D nonlinear magnetostatic problems. The main advantage of this formulation is that the convergence of nonlinear material solution can be easily reached after a few iterations without any relaxation. Moreover, the use of coarse meshes can lead to accurate results. Computed results for the TEAM Workshop problem 13 and for an actuator are reported.

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Section: A Team Workhop Problem 13mentioning

confidence: 99%

A Magnetic Vector Potential Volume Integral Formulation for Nonlinear Magnetostatic Problems

et al. 2016

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“…Moreover, the recent development of fast, parallel and effective low rank approximation techniques (e.g. adaptive cross approximation coupled with hierarchical matrix arithmetics or FMMs) has revived the research on IMs [33][34][35][36][37][38][39] and extended their applicability to very large-scale systems.…”

Section: Introductionmentioning

confidence: 99%

Fast Fourier transform-volume integral: a smart approach for the electromagnetic design of complex systems in large fusion devices

Bettini¹,

Torchio²,

Lucchini³

et al. 2020

Plasma Phys. Control. Fusion

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A volume integral (VI) equation method based on the fast Fourier transform (FFT) is proposed for the electromagnetic simulation of complex systems in large magnetic confinement fusion (MCF) devices. Such FFT-VI allows for dramatically reducing the time and the human effort required to adapt the CAD input files to models suited for electromagnetic simulations. Moreover, with FFT-VI the mesh generation is performed automatically and is very efficient and robust. The adoption of the FFT allows for significantly reducing the computation time and the memory requirements, therefore making simulations with several millions of unknowns feasible. Numerical results show that, in terms of numerical performances, the FFT-VI method applied to challenging electromagnetic problems in representative MCF devices is markedly superior with respect to the state of the art VI techniques. A sample implementation of FFT-VI is made publicly available.

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Data-driven modeling of nonlinear materials in normal-conducting magnets

Sorti

Petrone

Russenschuck

et al. 2022

Phys. Rev. Accel. Beams

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<inline-formula> <tex-math notation="LaTeX">${A}$ </tex-math> </inline-formula>–<inline-formula> <tex-math notation="LaTeX">${T}$ </tex-math> </inline-formula> Volume Integral Formulations for Solving Electromagnetic Problems in the Frequency Domain

Cited by 8 publications

References 16 publications

A Magnetic Vector Potential Volume Integral Formulation for Nonlinear Magnetostatic Problems

A Magnetic Vector Potential Volume Integral Formulation for Nonlinear Magnetostatic Problems

Fast Fourier transform-volume integral: a smart approach for the electromagnetic design of complex systems in large fusion devices

Data-driven modeling of nonlinear materials in normal-conducting magnets

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