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Matched layers are commonly used in numerical simulations of wave propagation to model (semi-)infinite domains. Attenuation functions describe the damping in layers, and provide a matching of the wave impedance at the interface between the…

Computational Engineering, Finance, and Science · Computer Science 2016-02-01 Steven Vandekerckhove , Garth N. Wells , Herbert De Gersem , Koen Van Den Abeele

Graphene field-effect transistors (GFETs) are experimental devices which are increasingly seeing commercial and research applications. Simulation and modelling forms an important stage in facilitating this transition, however the majority…

Mesoscale and Nanoscale Physics · Physics 2022-06-28 Nathaniel J. Tye , Abdul Wadood Tadbier , Stephan Hofmann , Phillip Stanley-Marbell

In this article, the piecewise-linear finite element method (FEM) is applied to approximate the solution of time-fractional diffusion equations on bounded convex domains. Standard energy arguments do not provide satisfactory results for…

Numerical Analysis · Mathematics 2018-11-06 Samir Karaa , Kassem Mustapha , Amiya K. Pani

It is well known that sufficiently strong electrostatic fields are able to change the morphology of Large Area Field Emitters (LAFEs). This phenomenon affects the electrostatic interactions between adjacent sites on a LAFE during field…

Mesoscale and Nanoscale Physics · Physics 2018-04-03 Edgar Marcelino , Thiago A. de Assis , Caio M. C. de Castilho

FeFETs hold strong potential for advancing memory and logic technologies, but their inherent randomness arising from both operational cycling and fabrication variability poses significant challenges for accurate and reliable modeling.…

Machine Learning · Computer Science 2025-08-06 Tasnia Nobi Afee , Jack Hutchins , Md Mazharul Islam , Thomas Kampfe , Ahmedullah Aziz

With electron beam durations down to femtoseconds and sub-femtoseconds achievable in current state-of-the-art accelerators, longitudinal bunch length diagnostics with resolution at the attosecond level are required. In this paper, we…

With the development of ferroelectric memories, it is becoming increasingly important to understand the ferroelectric switching behaviors at small applied electric fields. In this \rv{paper}, we use discretized phase-field models to…

Materials Science · Physics 2025-02-11 Huanhuan Tian , Jianguo Yang , Ming Liu

Distributed space antennas using electromagnetic formation flight (EMFF) are a promising architecture for large-aperture, long-life space communication systems. Their feasible aperture, however, is governed by coupled constraints on antenna…

Signal Processing · Electrical Eng. & Systems 2026-05-25 Seang Shim , Yuta Takahashi , Naoto Usami , Shin-ichiro Sakai

This paper introduces a new approach for the computation of electromagnetic field derivatives, up to any order, with respect to the material and geometric parameters of a given geometry, in a single Finite-Difference Time-Domain (FDTD)…

Numerical Analysis · Mathematics 2024-12-20 Kae-An Liu , Hans-Dieter Lang , Costas D. Sarris

A field excited by an emitter can be enhanced due to presence of closely located inclusions. In this paper we consider such field enhancement when inclusions are disks of the same radii, and the emitter is of dipole type and located in the…

Analysis of PDEs · Mathematics 2018-11-06 Hyeonbae Kang , KiHyun Yun

Effective field theory (EFT) approaches are widely used at the LHC, such that it is important to study their validity, and ease of matching to specific new physics models. In this paper, we consider an extension of the SM in which a top…

High Energy Physics - Phenomenology · Physics 2020-03-04 Christoph Englert , Peter Galler , Chris D. White

We present a collection of simulations of the Edwards-Anderson lattice spin glass at $T=0$ to elucidate the nature of low-energy excitations over a range of dimensions that reach from physically realizable systems to the mean-field limit.…

Disordered Systems and Neural Networks · Physics 2024-09-23 Stefan Boettcher

Exact ground states are calculated with an integer optimization algorithm for two and three dimensional site-diluted Ising antiferromagnets in a field (DAFF) and random field Ising ferromagnets (RFIM). We investigate the structure and the…

Disordered Systems and Neural Networks · Physics 2009-10-28 J. Esser , U. Nowak , K. D. Usadel

We study the problem of estimating the Earth Mover's Distance (EMD) between probability distributions when given access only to samples. We give closeness testers and additive-error estimators over domains in $[0, \Delta]^d$, with sample…

Data Structures and Algorithms · Computer Science 2009-04-03 Khanh Do Ba , Huy L Nguyen , Huy N Nguyen , Ronitt Rubinfeld

The robust topology optimization formulation that introduces the eroded and dilated versions of the design has gained increasing popularity in recent years, mainly because of its ability to produce designs satisfying a minimum length scale.…

Optimization and Control · Mathematics 2021-04-16 Denis Trillet , Pierre Duysinx , Eduardo Fernández

Using the standard finite element method (FEM) to solve general partial differential equations, the round-off error is found to be proportional to $N^{\beta_{\rm R}}$, with $N$ the number of degrees of freedom (DoFs) and $\beta_{\rm R}$ a…

Numerical Analysis · Mathematics 2022-02-08 Jie Liu , Henk M. Schuttelaars , Matthias Möller

In papers on cold field electron emission from large area field emitters (LAFEs), it has become widespread practice to publish a misleading Fowler-Nordheim-type (FN-type) equation. This equation over-predicts the LAFE-average current…

Mesoscale and Nanoscale Physics · Physics 2018-12-18 Richard G. Forbes

Three dimensional field configuration has been simulated for a simple wire chamber consisting of one anode wire stretched along the axis of a grounded square cathode tube by solving numerically the boundary integral equation of the first…

Instrumentation and Detectors · Physics 2008-11-26 N. Majumdar , S. Mukhopadhyay

The effective field theory (EFT) framework is a precise approximation procedure when the inherent assumptions of a large-scale separation between the Standard Model (SM) and new interactions alongside perturbativity are realised.…

High Energy Physics - Phenomenology · Physics 2024-03-22 Upalaparna Banerjee , Joydeep Chakrabortty , Christoph Englert , Wrishik Naskar , Shakeel Ur Rahaman , Michael Spannowsky

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