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We perform a three-dimensional (3D) global simulation of Earth's magnetosphere with kinetic reconnection physics to study the flux transfer events (FTEs) and dayside magnetic reconnection with the recently developed magnetohydrodynamics…

In this paper, a hybrid quasi-static atomistic simulation method at finite temperature is developed, which combines the advantages of MD for thermal equilibrium and atomic-scale finite element method (AFEM) for efficient equilibration. Some…

Atomic Physics · Physics 2015-06-17 Ran Xu , Bin Liu

Partial differential equations (PDEs) are central to computational electromagnetics (CEM) and photonic design, but classical solvers face high costs for large or complex structures. Quantum Hamiltonian simulation provides a framework to…

Quantum Physics · Physics 2025-10-07 Hiroyuki Tezuka , Yuki Sato

Electromagnetic quasistatic (EMQS) fields, where radiation effects are neglected, while Ohmic losses and electric and magnetic field energies are considered, can be modeled using Darwin-type field models as an approximation to the full…

Computational Engineering, Finance, and Science · Computer Science 2022-04-14 Markus Clemens , Marvin-Lucas Henkel , Fotios Kasolis , Michael Günther , Herbert De Gersem , Sebastian Schöps

In this paper, we propose a robust solver for the finite element discrete problem of the stationary incompressible magnetohydrodynamic (MHD) equations in three dimensions. By the mixed finite element method, both the velocity and the…

Numerical Analysis · Mathematics 2017-10-23 Lingxiao Li , Weiying Zheng

In Yang et al. [Nature 576, 248 (2019)], the authors introduced a general theoretical framework for nanoscale electromagnetism based on Feibelman parameters. Here quantum effects of the optically excited electrons at the interface between…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 Ulrich Hohenester , Gerhard Unger

We propose and explore a new, general-purpose method for the implicit time integration of elastica. Key to our approach is the use of a mixed variational principle. In turn its finite element discretization leads to an efficient alternating…

Graphics · Computer Science 2022-02-03 Ty Trusty , Danny M. Kaufman , David I W Levin

A magneto-mechanical static modeling of ferromagnetic particle based on minimization of an energy function is presented. This modeling is made of a conjugate gradient method coupled with finite element method for the mechanical problem…

Classical Physics · Physics 2013-08-27 Frederick Mballa Mballa , Olivier Hubert , Song He , Sophie Depeyre , Philip Meilland

The growing penetration of inverter-based resources and associated controls necessitates system-wide electromagnetic transient (EMT) analyses. EMT tools and methods today were not designed for the scale of these analyses. In light of the…

Systems and Control · Electrical Eng. & Systems 2023-05-04 Amritanshu Pandey

Standardization of data formats in a scientific discipline brings a range of benefits to researchers, as it enables the sharing of workflows and solutions to common problems, provides the foundation for generically useful tools that can be…

Accelerator Physics · Physics 2026-04-22 A. D. Brynes , J. K. Jones , M. King , M. A. Johnson , N. Ziyan

We approach the discretisation of Maxwell's equations directly in space-time without making any non-relativistic assumptions with the particular focus on simulations in rotating reference frames. As a research example we study Sagnac's…

Computational Physics · Physics 2017-06-20 Marius Klimek , Stefan Kurz , Sebastian Schöps , Thomas Weiland

The intensity peak of a "flying focus" travels at a programmable velocity over many Rayleigh ranges while maintaining a near-constant profile. Assessing the extent to which these features can enhance laser-based applications requires an…

Maxwell's equations are formulated in arbitrary moving frames by means of tetrad fields, which are interpreted as reference frames adapted to observers in space-time. We assume the existence of a general distribution of charges and currents…

Classical Physics · Physics 2010-12-01 J. W. Maluf , S. C. Ulhoa

For magnetic field calculations, cylindrical permanent magnets are often approximated as ideal, azimuthally symmetric solenoids. Despite the frequent usage of this approximation, research papers demonstrating the validity and limitations of…

Instrumentation and Detectors · Physics 2022-07-21 David Shulman

Numerical simulations of fast remagnetization processes using the stochastic dynamics are widely used to study various magnetic systems. In this paper we first address several crucial methodological problems of such simulations: (i) the…

Other Condensed Matter · Physics 2009-11-10 Dmitri V. Berkov , Natalia L. Gorn

We present a method and an implementation for smooth linear motion in a finite difference-based micromagnetic simulation code, to be used in simulating magnetic friction and other phenomena involving moving microscale magnets. Our aim is to…

Computational Physics · Physics 2018-05-09 Ilari Rissanen , Lasse Laurson

The integral formulation of Maxwell's equations expressed in terms of an arbitrary observer family in a curved spacetime is developed and used to clarify the meaning of the lines of force associated with observer-dependent electric and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 D. Bini , C. Germani , R. T. Jantzen

Motivated by the task to design quench protection systems for superconducting magnets in particle accelerators we address a coupled field/circuit simulation based on a magneto-quasistatic field modeling. We investigate how a waveform…

Numerical Analysis · Mathematics 2020-05-28 Idoia Cortes Garcia , Jonas Pade , Sebastian Schöps , Caren Tischendorf

In classical electrodynamics, by motion for either the observer or the media, it always naturally assumed that the relative moving velocity is a constant along a straight line (e.g., in inertia reference frame), so that the electromagnetic…

Classical Physics · Physics 2023-04-19 Zhong Lin Wang

The Darwin field model addresses an approximation to Maxwell's equations where radiation effects are neglected. It allows to describe general quasistatic electromagnetic field phenomena including inductive, resistive and capacitive effects.…

Computational Engineering, Finance, and Science · Computer Science 2020-03-13 Markus Clemens , Bernhard Kähne , Sebastian Schöps
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