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We consider the Fast Fourier Transform (FFT) based numerical method for thin film magnetization problems [Vestg{\aa}rden and Johansen, SuST, 25 (2012) 104001], compare it with the finite element methods, and evaluate its accuracy. Proposed…

Computational Physics · Physics 2018-05-09 Leonid Prigozhin , Vladimir Sokolovsky

Interpolation methods for nonlinear finite element discretizations are commonly used to eliminate the computational costs associated with the repeated assembly of the nonlinear systems. While the group finite element formulation…

Numerical Analysis · Mathematics 2020-09-24 Kevin Tolle , Nicole Marheineke

Magnetic force microscopy (MFM) is long established as a powerful tool for probing the local manifestation of magnetic nanostructures across a range of temperatures and applied stimuli. A major drawback of the technique, however, is that…

Instrumentation and Detectors · Physics 2023-08-21 Jori F. Schmidt , Lukas M. Eng , Samuel D. Seddon

In this paper, we propose an optimized field/circuit coupling approach for the simulation of magnetothermal transients in superconducting magnets. The approach improves the convergence of the iterative coupling scheme between a…

Using recently developed techniques based on scattering theory, we find the electromagnetic Casimir energy for geometries involving semi-infinite planes, a case that is of particular interest in the design of microelectromechanical devices.…

Quantum Physics · Physics 2011-06-20 Mohammad F. Maghrebi , Noah Graham

Magnetostatic field calculations in micromagnetic simulations can be numerically expensive, particularly in the case of large-scale finite element simulations. The established finite element / boundary element method (FEM/BEM) by Fredkin &…

Numerical Analysis · Mathematics 2019-03-27 Riccardo Hertel , Sven Christophersen , Steffen Börm

Measurement of the magnetization in the bulk of thin-film or two-dimensional materials is important for understanding their intrinsic properties without the complications from edges or domain walls. However, the stray fields from the bulk…

We consider mixed finite element methods with exact symmetric stress tensors. We derive a new quasi-optimal a priori error estimate uniformly valid with respect to the compressibility. For the a posteriori error analysis we consider the…

Numerical Analysis · Mathematics 2022-08-24 Philip L. Lederer , Rolf Stenberg

Stray magnetic fields contain significant information about the electronic and magnetic properties of condensed matter systems. For two-dimensional (2D) systems, stray field measurements can even allow full determination of the source…

Recent developments in imaging techniques and correlation algorithms enable measurement of strain fields on a deforming material at high spatial and temporal resolution. In such cases, the computation of the stress field from the known…

Materials Science · Physics 2020-12-08 Benjamin Cameron , Cem Tasan

We demonstrate the power of a first principle-based and practicable method that allows for the perturbative computation of reduced density matrix elements of an open quantum system without making use of any master equations. The approach is…

High Energy Physics - Theory · Physics 2023-06-12 Christian Käding , Mario Pitschmann

In electromagnetic simulations of magnets and machines one is often interested in a highly accurate and local evaluation of the magnetic field uniformity. Based on local post-processing of the solution, a defect correction scheme is…

Numerical Analysis · Mathematics 2017-02-09 Ulrich Römer , Sebastian Schöps , Herbert De Gersem

Spatial imaging of magnetic stray fields from magnetic materials is a useful tool for identifying the underlying magnetic configurations of the material. However, transforming the magnetic image into a magnetization image is an ill-poised…

Mesoscale and Nanoscale Physics · Physics 2024-12-30 David A. Broadway , Mykhailo Flaks , Adrien E. E. Dubois , Patrick Maletinsky

We study symmetry restoration at finite temperature in the theory of a charged scalar field interacting with a constant, external magnetic field. We compute the finite temperature effective potential including the contribution from ring…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alejandro Ayala , Angel Sánchez , Gabriella Piccinelli , Sarira Sahu

Predicting measurement outcomes from an underlying structure often follows directly from fundamental physical principles. However, a fundamental challenge is posed when trying to solve the inverse problem of inferring the underlying…

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

We present quantitative means for assessing the numerical accuracy of static magnetic field calculations in finite-element models. Our calculations use the three-dimensional Opera simulation software suite of Dassault Syst`emes. Our need to…

Accelerator Physics · Physics 2021-06-03 J. A. Crittenden

A new approximation method for inverting the Poisson's equation is presented for a continuously distributed and finite-sized source in an unbound domain. The advantage of this image multipole method arises from its ability to place the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 James H. H. Chan , Tzihong Chiueh

We proposed a novel multilayer structure to realize the deterministic switching of perpendicularly magnetized layers by spin orbital torque from the spin Hall effect through stray field engineering. In our design, a pinned magnetic layer is…

Applied Physics · Physics 2017-10-24 Sumei Wang , Meiyin Yang , Chao Zhao

Accurate simulations of isotropic permanent magnets require to take the magnetization process into account and consider the anisotropic, nonlinear, and hysteretic material behaviour near the saturation configuration. An efficient method for…

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