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Finite-element simulations of magnetostatic fields are performed in terms of magnetic vector and total scalar potentials and compared for purpose of modeling the accelerator magnets. The potentials represent the unknown variables associated…

计算物理 · 物理学 2021-07-06 Alexander Chervyakov

The finite-element analysis of three-dimensional magnetostatic problems in terms of magnetic vector potential has proven to be one of the most efficient tools capable of providing the excellent quality results but becoming computationally…

计算物理 · 物理学 2023-07-25 Alexander Chervyakov

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-element reaction fields. Building upon a recently proposed…

数值分析 · 数学 2026-02-27 Merle Backmeyer , Laura A. M. D'Angelo , Brahim Ramdane , Sebastian Schöps

Multiscale simulation is a key research tool for the quest for new permanent magnets. Starting with first principles methods, a sequence of simulation methods can be applied to calculate the maximum possible coercive field and expected…

In recent years, the $H$ formulation of Maxwell's equation has become the de facto standard for simulating the time-dependent electromagnetic behavior of superconducting applications with commercial software. However, there are cases where…

This lecture note describes how to set up and what is behind a magnetodynamic field simulation for an accelerator magnet. The relevant formulation of Maxwell's equations is derived. The formulation is discretized in space by the…

加速器物理 · 物理学 2020-06-19 H. De Gersem , I. Cortes Garcia , L. A. M. D'Angelo , S. Schöps

This contributions discusses the simulation of magnetothermal effects in superconducting magnets as used in particle accelerators. An iterative coupling scheme using reduced order models between a magnetothermal partial differential model…

计算工程、金融与科学 · 计算机科学 2017-11-01 Sebastian Schöps , Idoia Cortes Garcia , Michał Maciejewski , Bernhard Auchmann

The accurate modelling and simulation of electric devices involving ferromagnetic materials requires the appropriate consideration of magnetic hysteresis. We discuss the systematic incorporation of the energy-based vector hysteresis model…

数值分析 · 数学 2025-07-22 Herbert Egger , Felix Engertsberger

Although the H-formulation has proven to be one of the most versatile formulations used to accurately model superconductors in the finite element method, the use of vector dependent variables in non-conducting regions leads to unnecessarily…

超导电性 · 物理学 2021-04-20 Alexandre Arsenault , Frédéric Sirois , Francesco Grilli

The numerical solution of problems in nonlinear magnetostatics is typically based on a variational formulation in terms of magnetic potentials, the discretization by finite elements, and iterative solvers like the Newton method. The vector…

数值分析 · 数学 2024-05-03 Herbert Egger , Felix Engertsberger , Bogdan Radu

Restricted Boltzmann Machine (RBM) is an importan- t generative model modeling vectorial data. While applying an RBM in practice to images, the data have to be vec- torized. This results in high-dimensional data and valu- able spatial…

计算机视觉与模式识别 · 计算机科学 2016-01-06 Guanglei Qi , Yanfeng Sun , Junbin Gao , Yongli Hu , Jinghua Li

This note describes an extended exercise on the finite-element (FE) simulation of an accelerator magnet. The students construct and simulate a magnet model using the FEMM freeware. They get the opportunity to exercise on the theory of FEs,…

加速器物理 · 物理学 2020-06-19 H. De Gersem , I. Kulchytska-Ruchka , S. Schöps

Purpose: Conventional MRI is relying on the assumption of the magnetic field being homogeneous in direction and amplitude. However, with the growing interest in portable, affordable point-of-care MRI systems, these assumptions do not…

医学物理 · 物理学 2026-02-17 Fabian Bschorr , Thomas Hüfken , Tobias Lobmeyer , Volker Rasche

In recent years, reduced basis methods (RBMs) have been adapted to the many-body eigenvalue problem and they have been used, largely in nuclear physics, as fast emulators able to bypass expensive direct computations while still providing…

超导电性 · 物理学 2023-04-19 Virgil V. Baran , Denis R. Nichita

The development of permanent magnets containing less or no rare-earth elements is linked to profound knowledge of the coercivity mechanism. Prerequisites for a promising permanent magnet material are a high spontaneous magnetization and a…

In practical massive multiple-input multiple-output (MIMO) systems, the precoding matrix is often obtained from the eigenvectors of channel matrices and is challenging to update in time due to finite computation resources at the base…

信息论 · 计算机科学 2024-07-02 Ziao Qin , Haifan Yin , Weidong Li

We recently published an approach named ROVir (Region-Optimized Virtual coils) that uses the beamforming capabilities of a multichannel magnetic resonance imaging (MRI) receiver array to achieve coil compression (reducing an original set of…

信号处理 · 电气工程与系统科学 2023-07-24 Justin P. Haldar

This paper developes a data-driven magnetostatic finite-element (FE) solver which directly exploits measured material data instead of a material curve constructed from it. The distances between the field solution and the measurement points…

Passive resonators have been widely used in MRI to manipulate RF field distributions. However, optimizing these structures using full-wave electromagnetic simulations is computationally prohibitive, particularly for large passive resonator…

医学物理 · 物理学 2025-09-18 Zhonghao Zhang , Ming Lu , Hao Liang , Zhongliang Zu , Yi Gu , Xiao Wang , Yuankai Huo , John C. Gore , Xinqiang Yan

Memristor crossbars enable vector-matrix multiplication (VMM), and are promising for low-power applications. However, it can be difficult to write the memristor conductance values exactly. To improve the accuracy of VMM, we propose a scheme…

信号处理 · 电气工程与系统科学 2025-10-07 Binyu Lu , Matthias Frey , Stark Draper , Jingge Zhu
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