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In this note we discuss the numerical solution of the eddy current approximation of the Maxwell equations using the simple Pragmatic Algebraic Model to include hysteresis effects. In addition to the more standard time-stepping approach we…

Numerical Analysis · Mathematics 2025-04-17 Mario Gobrial , Lukas Domenig , Michael Reichelt , Manfred Kaltenbacher , Olaf Steinbach

The finite-difference time-domain (FDTD) algorithm is a popular numerical method for solving electromagnetic problems. FDTD simulations can suffer from instability due to the explicit nature of the method. Stability enforcement can be…

Computational Engineering, Finance, and Science · Computer Science 2018-12-26 Fadime Bekmambetova , Xinyue Zhang , Piero Triverio

Wave turbulence and eddy turbulence are the two regimes that we may encounter in nature. The attention of fluid mechanics being mainly focused on incompressible hydrodynamics, it is usually the second regime that is treated in books,…

Fluid Dynamics · Physics 2024-02-26 Sebastien Galtier

This paper presents a time domain (TD) formulation for modeling the transient electromagnetic response of two-dimensional (2D) metasurfaces using the Method of Auxiliary Sources (MAS) combined with the Generalized Sheet Transition Condition…

Computational Physics · Physics 2026-05-11 Minas Kouroublakis , Nikolaos L. Tsitsas , Yehuda Leviatan

Computing the electric eddy currents in non-linear materials, such as superconductors, is \E{not straightforward}. The design of superconducting magnets and power applications needs electromagnetic computer modeling, being in many cases a…

Superconductivity · Physics 2017-06-02 Enric Pardo , Milan Kapolka

The purpose of this research is to describe an efficient iterative method suitable for obtaining high accuracy solutions to high frequency time-harmonic scattering problems. The method allows for both refinement of local polynomial degree…

Computational Physics · Physics 2018-12-26 Ryan Galagusz , Steve McFee

We propose and analyze a domain decomposition solver for the biharmonic problem. The problem is discretized in a conforming way using multi-patch Isogeometric Analysis. As first step, we discuss the setup of a sufficiently smooth…

Numerical Analysis · Mathematics 2025-11-10 Stefan Takacs

A novel variant of Improved Delayed Detached-Eddy Simulation based on a differential Reynolds-stress background model is presented. The approach aims to combine the advantages of anisotropy-resolving Reynolds-stress closures in the modelled…

Fluid Dynamics · Physics 2023-08-25 Marius Herr , Rolf Radespiel , Axel Probst

This paper investigates an adaptive wavelet collocation time domain method for the numerical solution of Maxwell's equations. In this method a computational grid is dynamically adapted at each time step by using the wavelet decomposition of…

Numerical Analysis · Mathematics 2012-04-06 Haojun Li , Kirankumar R. Hiremath , Andreas Rieder , Wolfgang Freude

We consider the time-dependent electron transport through a quantum dot connected to multiple leads in the presence of the additional over-dot (bridge) tunnelling channels by using the evolution operator technique. Each terminal and quantum…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 R. Taranko , T. Kwapinski , E. Taranko

Inversion of electromagnetic data finds applications in many areas of geophysics. The inverse problem is commonly solved with either deterministic optimization methods (such as the nonlinear conjugate gradient or Gauss-Newton) which are…

Geophysics · Physics 2019-12-03 Vladimir Puzyrev , Andrei Swidinsky

Frequency-domain unsteady lifting-line theory is better developed than its time-domain counterpart. To take advantage of this, this paper transforms time-domain kinematics to the frequency domain, performs a convolution and then returns the…

Fluid Dynamics · Physics 2021-05-13 Hugh J. A. Bird , Kiran Ramesh

The computation of time dynamics arising in nonlinear time-dependent partial differential equations is an ongoing challenge in numerical analysis, especially once roughness comes into play. Classical numerical schemes in general fail to…

Numerical Analysis · Mathematics 2025-04-29 Yvain Bruned , Frédéric Rousset , Katharina Schratz

Connectivity query processing is a fundamental problem in graph processing. Given an undirected graph and two query vertices, the problem aims to identify whether they are connected via a path. Given frequent edge updates in real graph…

Databases · Computer Science 2026-01-27 Lantian Xu , Junhua Zhang , Dong Wen , Lu Qin , Ying Zhang , Xuemin Lin

A transient Mie-like solution for acoustic scattering from a spherical object is derived within a mesh-free and singularity-free Time Domain Integral Equation (TDIE) framework for the sound-soft, sound-rigid and penetrable cases. The method…

Computational Physics · Physics 2017-03-08 Jie Li , Daniel Dault , Balasubramaniam Shanker

This paper proposes a new non-iterative time-domain simulation approach using Differential Transform Method (DTM) to solve the set of non-linear Differential-Algebraic Equations (DAEs) involved in a DFIG-based wind power system. The DTM is…

Systems and Control · Electrical Eng. & Systems 2022-02-16 Pradeep Singh , Upasana Buragohain , Nilanjan Senroy

Entropic Dynamics (ED) is a framework for constructing dynamical theories of inference using the tools of inductive reasoning. A central feature of the ED framework is the special focus placed on time. In previous work a global entropic…

General Relativity and Quantum Cosmology · Physics 2018-03-19 Selman Ipek , Mohammad Abedi , Ariel Caticha

Time domain interferometry is a promising method to characterizes spatial and temporal correlations at x-ray energies, via the so-called intermediate scattering function and the related dynamical couple correlations. However, so far, it has…

Quantum Physics · Physics 2019-01-23 Salvatore Castrignano , Jörg Evers

We introduce a simplified model of the electron-beam/plasma system to model the electrical breakdown caused by the inductive electric field created by a rapidly rising electron beam current. The rigid-beam model is a reduction to the…

Plasma Physics · Physics 2021-03-05 S. B. Swanekamp , A. S. Richardson , Tz. B. Petrova , P. E. Adamson

Many complex structures and stochastic patterns emerge from simple kinetic rules and local interactions, and are governed by scale invariance properties in combination with effects of the global geometry. We consider systems that can be…

Statistical Mechanics · Physics 2013-09-17 Adnan Ali , Robin C. Ball , Stefan Grosskinsky , Ellak Somfai