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The development of cryogenic technology and high temperature superconducting (HTS) materials has seen continued interest worldwide in the development of HTS machines since the late 1980s. In this paper, the authors present a conceptual…

Superconductivity · Physics 2014-10-14 Jin Zou , Di Hu , Tim J. Flack , Haichao Feng , Xiaozhuo Xu , Mark D. Ainslie

A modeling of metasurfaces in the finite element method (FEM) based on generalized sheet transition conditions (GSTCs) is presented. The discontinuities in electromagnetic fields across a metasurface as represented by the GSTC are modeled…

Classical Physics · Physics 2017-05-24 Srikumar Sandeep , Jian Ming Jin , Christophe Caloz

Cables made of MgB2 superconductors are currently explored as a viable solution for transporting high electrical power in the AC regime. In order to be competitive against the DC solution, the cables need to have an acceptable level of AC…

Superconductivity · Physics 2017-05-30 F. Grilli , A. Chervyakov , V. Zermeno , A. Marian , G. Grasso , W. Goldacker , C. Rubbia

This paper deals with the modelling of superconducting and resistive wires with a helicoidal symmetry, subjected to an external field and a transport current. Helicoidal structures are three-dimensional, and therefore yield computationally…

The simulation of large-scale high-temperature superconducting (HTS) magnets is a computational challenge due to the multiple spatial scales involved, from the magnet to the detailed turn-to-turn geometry. To reduce the computational cost…

Accelerator Physics · Physics 2025-10-13 Louis Denis , Benoît Vanderheyden , Christophe Geuzaine

A nonlinear Helmholtz (NLH) equation with high frequencies and corner singularities is discretized by the linear finite element method (FEM). After deriving some wave-number-explicit stability estimates and the singularity decomposition for…

Numerical Analysis · Mathematics 2024-05-28 Run Jiang , Haijun Wu , Yifeng Xu , Jun Zou

Hollow-core holey fibers are promising candidates for low-loss guidance of light in various applications, e.g., for the use in laser guide star adaptive optics systems in optical astronomy. We present an accurate and fast method for the…

Optics · Physics 2009-05-28 J. Pomplun , R. Holzlöhner , S. Burger , L. Zschiedrich , F. Schmidt

In our work we focus on the accurate computation of light propagation in finite size photonic crystal structures with the finite element method (FEM). We discuss how we utilize numerical concepts like high-order finite elements, transparent…

Optics · Physics 2015-05-13 Jan Pomplun , Lin Zschiedrich , Roland Klose , Frank Schmidt , Sven Burger

This paper proposes a novel higher-order multi-scale (HOMS) computational method, which is highly targeted for efficient, high-accuracy and low-computational-cost simulation of hygro-thermo-mechanical (H-T-M) coupling problems in…

Numerical Analysis · Mathematics 2025-12-11 Hao Dong , Yifei Ding , Jiale Linghu , Yufeng Nie , Yaochuang Han

Numerical homogenization for mechanical multiscale modeling by means of the finite element method (FEM) is an elegant way of obtaining structure-property relations, if the behavior of the constituents of the lower scale is well understood.…

Numerical Analysis · Mathematics 2025-08-07 Nils Lange , Geralf Hütter , Bjoern Kiefer

Methods for solving Maxwell's equations are integral part of optical metrology and computational lithography setups. Applications require accurate geometrical resolution, high numerical accuracy and/or low computation times. We present a…

Optics · Physics 2015-03-24 S. Burger , L. Zschiedrich , J. Pomplun , S. Herrmann , F. Schmidt

Computer-assisted modelling is an essential approach to design new devices. It speeds up the process from the initial idea to an actual device and saves resources by reducing the number of built prototypes. This is also a significant…

General Physics · Physics 2020-03-05 Valtteri Lahtinen , Antti Stenvall

A numerical modeling study based on 3D finite element method (FEM) simulation and 1D analytical solutions has been carried out to evaluate the capabilities of two ac methods for measuring in-plane thermal conductivity of thin film deposited…

Applied Physics · Physics 2020-12-22 Hanfu Wang , Yanjun Guo , Kaiwu Peng , Weiguo Chu , Guangming Chen

Conductors made of high-temperature (HTS) wires helically wound in one or more layers on round tubes (CORT) are compact, flexible, and can carry a large amount of current. Although these conductors were initially developed for DC…

Superconductivity · Physics 2024-02-27 Steffen Elschner , Andrej Kudymow , Nicolo Riva , Francesco Grilli

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 is one of the widely employed numerical techniques in electrical engineering for the study of electric and magnetic fields. When applied to the moving conductor problems, the finite element method is known to have…

Numerical Analysis · Mathematics 2022-09-01 Sethupathy Subramanian , Sujata Bhowmick

Finite differences, finite elements, and their generalizations are widely used for solving partial differential equations, and their high-order variants have respective advantages and disadvantages. Traditionally, these methods are treated…

Numerical Analysis · Mathematics 2020-01-22 Rebecca Conley , Xiangmin Jiao , Tristan J. Delaney

AC losses in a high temperature superconducting (HTS) insert coil for a 25-T cryogen-free superconducting magnet are numerically calculated during its energization, assuming slab approximation. The HTS insert coil consists of 68 single…

Superconductivity · Physics 2014-06-02 K. Kajikawa , S. Awaji , K. Watanabe

This study presents an HTS electromagnetic model combining the thin-strip, homogeneous and multi-scale methods using T-A formulation. In particular, we build the thin strips as both the analyzed HTS tapes and the boundaries of the…

Superconductivity · Physics 2022-05-18 Lei Wang , Yan Chen

In this paper, a multilayer thermal infrared detector model has been achieved by finite element method (FEM). All contributions of the thermal conductance were taken into account and calculated. In order to maximize the detector response,…

Applied Physics · Physics 2017-12-08 P. Ramos , A. Andrés , A. López , A. Manzanares