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Related papers: Optimizing FDTD Solvers for Electromagnetics: A Co…

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We propose a high-order FDTD scheme based on the correction function method (CFM) to treat interfaces with complex geometry without increasing the complexity of the numerical approach for constant coefficients. Correction functions are…

Numerical Analysis · Mathematics 2020-02-18 Yann-Meing Law , Alexandre Noll Marques , Jean-Christophe Nave

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…

This study introduces a systematic and optimised methodology for designing Linear Variable Differential Transformer (LVDT) sensors and Voice Coil (VC) actuators, tailored for high-precision applications such as gravitational wave detectors…

Instrumentation and Detectors · Physics 2026-03-10 Kumar Akhil Kukkadapu , Hans Van Haevermaet , Wim Beaumont , Nick van Remortel

We extend the publicly available quantumfdtd code. It was originally intended for solving the time-independent three-dimensional Schr\"odinger equation via the finite-difference time-domain (FDTD) method and for extracting the ground,…

High Energy Physics - Phenomenology · Physics 2023-01-02 Rafael L. Delgado , Sebastian Steinbeißer , Michael Strickland , Johannes H. Weber

Discrete cosine transform (DCT) and other Fourier-related transforms have broad applications in scientific computing. However, off-the-shelf high-performance multi-dimensional DCT (MD DCT) libraries are not readily available in parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-05 Zixuan Jiang , Jiaqi Gu , David Z. Pan

The timestep of the Finite-Difference Time-Domain method (FDTD) is constrained by the stability limit known as the Courant-Friedrichs-Lewy (CFL) condition. This limit can make FDTD simulations quite time consuming for structures containing…

Computational Engineering, Finance, and Science · Computer Science 2016-06-29 Xihao Li , Costas D. Sarris , Piero Triverio

Dynamic mode decomposition (DMD) has become a powerful data-driven method for analyzing the spatiotemporal dynamics of complex, high-dimensional systems. However, conventional DMD methods are limited to matrix-based formulations, which…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Ziqin He , Mengqi Hu , Yifei Lou , Can Chen

We develop a finite volume method for Maxwell's equations in materials whose electromagnetic properties vary in space and time. We investigate both conservative and non-conservative numerical formulations. High-order methods accurately…

Computational Physics · Physics 2023-07-25 Damian P. San Roman Alerigi , David I. Ketcheson , Boon S. Ooi

The finite-difference time-domain (FDTD) method is applied for modelling of wire media as artificial dielectrics. Both frequency dispersion and spatial dispersion effects in wire media are taken into account using the auxiliary differential…

Materials Science · Physics 2009-11-11 Yan Zhao , Pavel Belov , Yang Hao

A finite difference method (FDM) applicable to a two dimensional (2D) quantum dot was developed as a non-conventional approach to the theoretical understandings of quantum devices. This method can be applied to a realistic potential with an…

Mesoscale and Nanoscale Physics · Physics 2013-12-16 Jai Seok Ahn

The convolution potential arises in a wide variety of application areas, and its efficient and accurate evaluation encounters three challenges: singularity, nonlocality and anisotropy. We introduce a fast algorithm based on a far-field…

Numerical Analysis · Mathematics 2025-04-29 Xin Liu , Yong Zhang

The advent of massively parallel supercomputers, with their distributed-memory technology using many processing units, has favored the development of highly-scalable local low-order solvers at the expense of harder-to-scale global very…

Computational Physics · Physics 2018-05-23 Henri Vincenti , Jean-Luc Vay

Full-wave 3D electromagnetic simulations of complex planar devices, multilayer interconnects, and chip packages are presented for wide-band frequency-domain analysis using the finite difference integration technique developed in the PETSc…

Computational Engineering, Finance, and Science · Computer Science 2017-05-25 Amir Geranmayeh

This paper delivers a software -- libEMM -- for 3D controlled-source electromagnetics (CSEM) modelling in fictitious wave domain, based on the newly developed high-order finite-difference time-domain (FDTD) method on non-uniform grid. The…

Geophysics · Physics 2023-05-03 Pengliang Yang

We present a generalized FDTD scheme to simulate moving electromagnetic structures with arbitrary space-time configurations. This scheme is a local adaptation and 2+1-dimensional extension of the uniform and 1+1-dimensional scheme recently…

Computational Engineering, Finance, and Science · Computer Science 2023-10-10 Amir Bahrami , Zoé-Lise Deck-Léger , Zhiyu Li , Christophe Caloz

We introduce a new multilevel domain decomposition method (MDD) for electronic structure calculations within semi-empirical and Density Functional Theory (DFT) frameworks. This method iterates between local fine solvers and global coarse…

Computational Physics · Physics 2007-05-23 M. Barrault , E. Cances , W. W. Hager , C. Le Bris

General full-wave electromagnetic solvers, such as those utilizing the finite-difference time-domain (FDTD) method, are computationally demanding for simulating practical GPR problems. We explore the performance of a near-real-time, forward…

Signal Processing · Electrical Eng. & Systems 2021-11-25 Utsav Akhaury , Iraklis Giannakis , Craig Warren , Antonios Giannopoulos

In this paper, we use multithreaded fast Fourier transforms provided in three highly optimized packages, FFTW-2.1.5, FFTW-3.3.7, and Intel MKL FFT, to present a novel model-based parallel computing technique as a very effective and portable…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-17 Semyon Khokhriakov , Ravi Reddy , Alexey Lastovetsky

In this paper, we develop a structure-preserving discretization of the Lagrangian framework for electromagnetism, combining techniques from variational integrators and discrete differential forms. This leads to a general family of…

Numerical Analysis · Mathematics 2015-11-05 Ari Stern , Yiying Tong , Mathieu Desbrun , Jerrold E. Marsden

Recent developments in high peak-power table-top laser systems reaching highly relativistic light intensities have led to significant advances in laser-driven particle acceleration schemes (mainly the laser wakefield acceleration, LWFA)…

Plasma Physics · Physics 2026-05-13 Szilárd Majorosi , Nasr A. M. Hafz , Zsolt Lécz