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Topological materials (TMs) are well-known for their topological protected properties. Phononic system has the advantage of direct observation and engineering of topological phenomena on the macroscopic scale. For the inverse design of 3D…

Applied Physics · Physics 2023-06-14 Jiachen Luo , Zongliang Du , Hui Chen , Xianggui Ding , Chang Liu , Weisheng Zhang , Xu Guo

We present a method for characterizing the propagation of the magnetic flux in an artificially drilled bulk high-temperature superconductor (HTS) during a pulsed-field magnetization. As the magnetic pulse penetrates the cylindrical sample,…

Superconductivity · Physics 2015-05-13 Gregory P Lousberg , J-F Fagnard , E Haanappel , X Chaud , M Ausloos , B Vanderheyden , Ph Vanderbemden

We consider the efficient solution of strongly elliptic partial differential equations with random load based on the finite element method. The solution's two-point correlation can efficiently be approximated by means of an…

Numerical Analysis · Mathematics 2017-03-21 Jürgen Dölz , Helmut Harbrecht , Michael D. Peters

In this paper, the pressure correctionfinite element method is proposed for the 2D/3D time-dependent thermomicropolarfluid equations. Thefirst-order and second-order backward difference formulas (BDF) are adopted to approximate the time…

Numerical Analysis · Mathematics 2022-03-30 Yuhang Ren , Demin Liu

An accurate design of a ground-coupled heat pump system requires the knowledge of the outlet fluid temperature from the borehole heat exchangers (BHEs), both in the short and long term. This paper fucuses on the short and medium term. In…

Applied Physics · Physics 2025-10-20 Enzo Zanchini , Francesco Zanchini , Claudia Naldi

This paper develops a smoothing-based postprocessing method for superconvergence in finite element methods. The method applies a few smoothing iterations, such as damped Jacobi, Gauss-Seidel, or conjugate gradient, with initial guess being…

Numerical Analysis · Mathematics 2026-05-07 Yuwen Li , Han Shui , Ludmil Zikatanov

Rigorous computer simulations of propagating electromagnetic fields have become an important tool for optical metrology and optics design of nanostructured components. As has been shown in previous benchmarks some of the presently used…

We consider the numerical approximation of the inertial Landau-Lifshitz-Gilbert equation (iLLG), which describes the dynamics of the magnetization in ferromagnetic materials at subpicosecond time scales. We propose and analyze two fully…

Numerical Analysis · Mathematics 2021-10-07 Michele Ruggeri

We present a numerical method for the solution of linear magnetostatic problems in domains with a symmetry direction, including axial and translational symmetry. The approach uses a Fourier series decomposition of the vector potential…

Computational Physics · Physics 2020-09-01 Christopher G. Albert , Oszkár Bíró , Patrick Lainer

We present extensive Monte Carlo simulations on a two-dimensional XY model with a modified form of interaction potential. Thermodynamic quantities other than energy, specific heat etc (such as magnetization, susceptibility, fourth order…

Statistical Mechanics · Physics 2013-05-24 Suman Sinha

The H-formulation, used abundantly for the simulation of high temperature superconductors, has shown to be a very versatile and easily implementable way of modeling electromagnetic phenomena involving superconducting materials. However, the…

Computational Physics · Physics 2021-02-03 Alexandre Arsenault , Frédéric Sirois , Francesco Grilli

We report a finite temperature micromagnetic method (FTM) that allows for the calculation of the coercive field of arbitrary shaped magnetic nanostructures at time scales of nanoseconds to years. Instead of directly solving the…

Materials Science · Physics 2015-06-03 D. Suess , L. Breth , J. Lee , M. Fuger , C. Vogler , F. Bruckner , B. Bergmair , T. Huber , J. Fidler , T. Schrefl

An extension of the multi-level hp Finite Cell Method is proposed for the simulation of thermoviscoplastic problems with temperature-dependent material behavior. The approach combines hierarchical adaptive refinement with a non-negative…

Numerical Analysis · Mathematics 2026-04-20 Jan Niklas Schmäke , Oliver Wege , Martin Ruess

We show that some experimentally observed features of vortex matter in high temperature superconductors may be interpreted in simpler ways than it is usually done. In particular, we consider magnetic flux creep at low temperatures as well…

Superconductivity · Physics 2007-05-23 I. L. Landau , H. R. Ott

Crossed magnetic field effects on bulk high-temperature superconductors have been studied both experimentally and numerically. The sample geometry investigated involves finite-size effects along both (crossed) magnetic field directions. The…

The modeling of superconducting magnetic bearing (SMB) is of great significance for predicting and optimizing its levitation performance before construction. Although lots of efforts have been made in this area, it still remains some space…

Superconductivity · Physics 2018-08-01 Loïc Quéval , Kun Liu , Wenjiao Yang , Víctor M. R. Zermeño , Guangtong Ma

We propose and implement a third-order accurate numerical scheme for the Landau-Lifshitz-Gilbert equation, which describes magnetization dynamics in ferromagnetic materials under large damping parameters. This method offers two key…

Mathematical Physics · Physics 2025-10-29 Changjian Xie , Cheng Wang

The growing interest in the modeling of superconductors has led to the development of effective numerical methods and software. One of the most utilized approaches for magnetoquasistatic simulations in applied superconductivity is the $H$…

Superconductivity · Physics 2023-01-31 Nicolo Riva , Alexandre Halbach , Mika Lyly , Christian Messe , Janne Ruuskanen , Valtteri Lahtinen

The finite element method has become a preeminent simulation technique in electromagnetics. For problems involving anisotropic media and metamaterials, proper algorithms should be developed. It has been proved that discretizing in quadratic…

Mathematical Physics · Physics 2009-10-21 E. Cojocaru

This study was undertaken to develop a system for heat transfer simulation for optimization and treatment planning of magnetic hyperthermia treatment (MHT) using magnetic particle imaging (MPI). First, we performed phantom experiments to…

Medical Physics · Physics 2016-05-27 Natsuo Banura , Atsushi Mimura , Kohei Nishimoto , Kenya Murase
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