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Related papers: FDTD Modeling of Periodic Structures: A Review

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We evaluate the influence of local resolution, eddy viscosity, coastline structure, and boundary conditions on the numerical representation of boundary currents in a finite element shallow-water model. The use of finite element…

Atmospheric and Oceanic Physics · Physics 2015-02-04 Peter D. Düben , Peter Korn

Affine frequency division multiplexing (AFDM) has recently emerged as a resilient waveform candidate for high-mobility next-generation wireless systems. However, current literature mostly focuses on discrete time (DT) models, often…

Signal Processing · Electrical Eng. & Systems 2026-03-06 Michele Mirabella , Hyeon Seok Rou , Pasquale Di Viesti , Giuseppe Thadeu Freitas de Abreu , Giorgio Matteo Vitetta

This paper presents the analysis of metasurfaces, here called reconfigurable intelligent surface. The analysis is performed by numerical simulations that implement the finite-difference time-domain method. The metasurface has been modeled…

Applied Physics · Physics 2023-09-25 Emanuel Colella , Luca Bastianelli , Valter Mariani Primiani , Franco Moglie

In this work, we propose staggered FDTD schemes based on the correction function method (CFM) to discretize Maxwell's equations with embedded perfect electric conductor (PEC) boundary conditions. The CFM uses a minimization procedure to…

Numerical Analysis · Mathematics 2021-08-02 Yann-Meing Law , Jean-Christophe Nave

Anomaly-based intrusion detection systems are essential defenses against cybersecurity threats because they can identify anomalies in current activities. However, these systems have difficulties providing entity processing independence…

Formal Languages and Automata Theory · Computer Science 2022-07-25 El Jabri Chaymae , Frappier Marc , Ecarot Thibaud , Tardif Pierre-Martin

In this work a novel method for the analysis with trimmed CAD surfaces is presented. The method involves an additional mapping step and the attraction stems from its sim- plicity and ease of implementation into existing Finite Element (FEM)…

Numerical Analysis · Computer Science 2015-01-28 Gernot Beer , Benjamin Marussig , Jürgen Zechner

Twenty years ago the anti-reflective numerical boundary conditions (BCs) were introduced in a context of signal processing and imaging, for increasing the quality of the reconstruction of a blurred signal/image contaminated by noise and for…

Numerical Analysis · Mathematics 2024-05-31 Ercília Sousa , Cristina Tablino-Possio , Rolf Krause , Stefano Serra-Capizzano

The aim of this study is to present a reliable combination of the differential transformation method (DTM) and Pad\'e approximants to make, for the first time, a semi-analytic analysis of the problem of free convection boundary-layer flow…

Numerical Analysis · Mathematics 2012-12-10 Haldun Alpaslan Peker , Galip Oturanc

This work presents a new approach to efficiently model the cathode in the moving boundary value problem of electrochemical machining. Until recently, the process simulation with finite elements had the drawback of remeshing required by the…

Computational Engineering, Finance, and Science · Computer Science 2023-01-12 Tim van der Velden , Stephan Ritzert , Stefanie Reese , Johanna Waimann

Scattering problems for periodic structures have been studied a lot in the past few years. A main idea for numerical solution methods is to reduce such problems to one periodicity cell. In contrast to periodic settings, scattering from…

Numerical Analysis · Mathematics 2016-11-22 Armin Lechleiter , Ruming Zhang

The stability and convergence analysis of high-order numerical approximations for the one- and two-dimensional nonlocal wave equations on unbounded spatial domains are considered. We first use the quadrature-based finite difference schemes…

Numerical Analysis · Mathematics 2022-11-09 Jihong Wang , Jerry Zhijian Yang , Jiwei Zhang

The reduction of computational costs in the numerical solution of nonstationary problems is achieved through splitting schemes. In this case, solving a set of less computationally complex problems provides the transition to a new level in…

Numerical Analysis · Mathematics 2022-10-26 Petr N. Vabishchevich

The Poisson-Nernst-Planck equations with generalized Frumkin-Butler-Volmer boundary conditions (PNP-FBV) describe ion transport with Faradaic reactions, and have applications in a number of fields. In this article, we develop an adaptive…

Numerical Analysis · Mathematics 2020-06-24 David Yan , M. C. Pugh , F. P. Dawson

This paper investigates the control of nonlinear systems using a piecewise linear approximation framework. The proposed approach combines a PID controller with locally linearized models obtained by partitioning the nonlinear function into…

Optimization and Control · Mathematics 2026-04-14 Robert Vrabel

The simulation of complex systems, such as gas transport in large pipeline networks, often involves solving PDEs posed on intricate graph structures. Such problems require considerable computational and memory resources. The Random Batch…

Numerical Analysis · Mathematics 2025-09-01 Martín Hernández

This paper presents a time-domain implementation of the Method of Auxiliary Sources (MAS) combined with the Standard Impedance Boundary Condition (SIBC) for electromagnetic scattering problems involving cylindrical scatterers with finite…

Classical Physics · Physics 2026-01-13 Minas Kouroublakis , Nikolaos L. Tsitsas , Yehuda Leviatan

A general input-output modelling technique for aperiodic-sampling linear systems has been developed. The procedure describes the dynamics of the system and includes the sequence of sampling periods among the variables to be handled. Some…

Discrete Mathematics · Computer Science 2016-08-14 Amparo Fúster-Sabater , J. M. Guillén

An efficient finite-difference time-domain (FDTD) algorithm is built to solve the transverse electric 2D Maxwell's equations with inhomogeneous dielectric media where the electric fields are discontinuous across the dielectric interface.…

Computational Physics · Physics 2023-07-14 Timothy Meagher , Bin Jiang , Peng Jiang

The fracture simulation of random particle reinforced composite structures remains a challenge. Current techniques either assumed a homogeneous model, ignoring the microstructure characteristics of composite structures, or considered a…

Numerical Analysis · Mathematics 2022-12-23 Zihao Yang , Shaoqi Zheng , Shangkun Shen , Fei Han

A periodic structure sandwiched between two homogeneous media can support bound states in the continuum (BICs) that are valuable for many applications. It is known that generic BICs in periodic structures with an up-down mirror symmetry and…

Optics · Physics 2021-09-08 Lijun Yuan , Ya Yan Lu