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Algorithms for the Analytical Solution of the Magnetostatics Inverse Problem for the Signal Source of the Dipole Model
Four variants of the algorithms of the analytical solution of the inverse problem of magnetostatics for the dipolar model of field source are...
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Designing Knotted Fields in Light and Electromagnetism
These lectures survey the subject of knotted fields applied to linear waves and optical fields such as laser light. Starting with a description of...
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Software and Hardware Complex for Non-Contact Investigation of Samples of Solid Natural Hydrocarbons: Preliminary Experiments
An ultrasensitive magnetometric complex based on low-temperature SQUIDs was created for the non-contact investigation of the magnetic properties of...
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An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency
In this paper, we present a novel arbitrary-order discrete de Rham (DDR) complex on general polyhedral meshes based on the decomposition of...
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A Parallel Space-Time Finite Element Method for the Simulation of an Electric Motor
Shape and topology optimization of electrical machines [3] as well as the optimal control [4] subject to parabolic evolution equations require an...
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Magnetometric multiscale approximation and mollifier decorrelation
The key idea of the mollifier multiscale method is that the corresponding potential wavelets generating the bandpass decomposition of the potential...
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Hybrid modeling: towards the next level of scientific computing in engineering
The integration of machine learning (Keplerian paradigm) and more general artificial intelligence technologies with physical modeling based on first...
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Construction of Solutions of the Helmholtz Equation in a Cylindrical Coordinate System in the Form of Homogeneous Polynomials in Two Biorthogonal Systems of Functions
We construct a system of solutions for the coefficients of expansion in the system of trigonometric functions for the solution of the Helmholtz...
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Implementation and Validation of the Dual Full-Wave E and H Formulations with Electric Circuit Element Boundary Conditions
Dual full-wave (FW) frequency-domain \(\textbf{E}\)...
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25 Years Computational Electromagnetics @ SCEE
From the beginning, Computational Electromagnetics (CEM) was among the core themes of the conference series on Scientific Computing in Electrical...
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Semi-classical understanding of flux quantization in superconductors
Like electric charge, magnetic flux is also quantised. Theoretically, one can show that the flux quantum must be h / e , as observed in the quantum Hall...
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Differential Geometry of Magnetic and Killing Magnetic Trajectories in de Sitter 3-Space
AbstractThis paper is concerned to study normal magnetic trajectories of charged particles which move under the influence of Lorentz force generated...
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Numerical simulation of resistance furnaces by using distributed and lumped models
This work proposes a methodology that combines distributed and lumped models to simulate the current distribution within an indirect heat resistance...
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Non-Contact Analysis of Magnetic Fields of Biological Objects: Algorithms for Data Recording and Processing
Based on low-temperature SQUID sensors, an ultra-sensitive magnetometric system has been created for the analysis of nanoparticles in biological...
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Hybrid Modeling: Towards the Next Level of Scientific Computing in Engineering
The integration of machine learning (Keplerian paradigm) and more general artificial intelligence technologies with physical modeling based on first...
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Modelling domain-wall orientation in antiferromagnets driven by magnetoelastic interactions and volume variations
In this paper, we build the mathematical framework to describe the physical phenomenon behind the equilibrium configuration joining two orthogonal...
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Quantitative Study of the Stabilization Parameter in the Virtual Element Method
The choice of stabilization term is a critical component of the virtual element method (VEM). However, the theory of VEM provides only asymptotic...
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Partial Differential Equation Models
A partial differential equation is an implicit or explicit equation involving derivatives of an unknown functions of more than one independent...
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A droplet in a ferrofluid droplet under a rotating magnetic field
Two-dimensional (2-D) direct numerical simulations of a compound droplet (a non-magnetizable droplet wrapped in a ferrofluid droplet) suspended in a...
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Existence of Solutions for p(x)-Laplacian Elliptic BVPs on a Variable Sobolev Space Via Fixed Point Theorems
In this paper, we prove some existence theorems for elliptic boundary value problems within the p ( x )-Laplacian on a variable Sobolev space. For this...
