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In many Direct and Inverse Scattering problems one has to use a parameter-fitting procedure, because analytical inversion procedures are often not available. In this paper a variety of such methods is presented with a discussion of…

Numerical Analysis · Mathematics 2007-05-23 Alexander G. Ramm , Semion Gutman

Numerical examination of the solution of the boundary--value problem of the reflection and transmission of a plane wave due to a slab of an electro--optic structurally chiral material (SCM) indicates that the exhibition of the circular…

Optics · Physics 2007-05-23 A. Lakhtakia , J. A. Reyes

In this study we address existing deficiencies in the literature on applications of Particle Swarm Optimization to generate optimal designs. We present the results of a large computer study in which we bench-mark both efficiency and…

Neural and Evolutionary Computing · Computer Science 2022-06-15 Stephen J. Walsh , John J. Borkowski

Application of metaheuristic algorithms has been of continued interest in the field of electrical engineering because of their powerful features. In this work special design is done for a tapered transmission line used for matching an…

Neural and Evolutionary Computing · Computer Science 2014-03-13 Ezgi Deniz Ulker , Sadik Ulker

Optimal control problems with oscillations (chattering controls) and concentrations (impulsive controls) can have integral performance criteria such that concentration of the control signal occurs at a discontinuity of the state signal.…

Optimization and Control · Mathematics 2019-01-29 Didier Henrion , Martin Kru{ž}ík , Tillmann Weisser

In this work, we consider the inverse electromagnetic scattering problem for a magneto-dielectric cylinder covering an impedance cylinder of arbitrary shape. We solve it by introducing a divide-and-conquer framework using specially designed…

Numerical Analysis · Mathematics 2025-11-27 Leonidas Mindrinos , Nikolaos Pallikarakis , Nikolaos L Tsitsas

This paper deals with the solution of Maxwell's equations to model the electromagnetic fields in the case of a layered earth. The integrals involved in the solution are approximated by means of a novel approach based on the splitting of the…

Numerical Analysis · Mathematics 2023-01-04 Eleonora Denich , Paolo Novati , Stefano Picotti

The regularized near-cloak via the transformation optics approach in the time-harmonic electromagnetic scattering is considered. This work extends the existing studies mainly in two aspects. First, it presents a near-cloak construction by…

Analysis of PDEs · Mathematics 2013-05-10 Gang Bao , Hongyu Liu , Jun Zou

We consider the inverse problem for countable, locally finite electrical networks with edge weights in an arbitrary field. The electrical inverse problem seeks to determine the weights of the edges knowing only the potential and current…

Combinatorics · Mathematics 2016-05-31 David Jekel

We develop an optimization framework for the design of acoustic cloaks, with the aim of overcoming the limitations of usual transformation-based cloaks in terms of microstructure complexity and shape arbitrarity of the obstacle. This is…

Optimization and Control · Mathematics 2022-02-16 Sebastiano Cominelli , Davide Enrico Quadrelli , Carlo Sinigaglia , Francesco Braghin

Approximating a function with a finite series, e.g., involving polynomials or trigonometric functions, is a critical tool in computing and data analysis. The construction of such approximations via now-standard approaches like least squares…

Optimization and Control · Mathematics 2021-08-30 Dihan Dai , Yekaterina Epshteyn , Akil Narayan

The optimal operation of electrical energy systems by solving a security constrained optimal power flow (SCOPF) problem is still a challenging research aspect. Especially, for conventional optimization methods like sequential quadratic…

Systems and Control · Electrical Eng. & Systems 2021-06-03 Marcel Sarstedt , Thomas Leveringhaus , Leonard Kluß , Lutz Hofmann

This paper tackles the data completion problem related to the Helmholtz equation. The goal is to identify unknown boundary conditions on parts of the boundary that cannot be accessed directly, by making use of measurements collected from…

Numerical Analysis · Mathematics 2025-10-08 Jamal Daoudi , Chakir Tajani

Transformation media theory, which steers waves in solids via an effective geometry induced by a refractive material (Fermat's principle of least action), provides a means of controlling vibrations and elastic waves beyond the traditional…

Applied Physics · Physics 2018-08-01 Sophia R. Sklan , Ronald Y. S. Pak , Baowen Li

Optimization-based (OB) alternatives to traditional flux limiters couch preservation of properties such as local bounds and maximum principles into optimization problems, which impose these properties through inequality constraints. In this…

Optimization and Control · Mathematics 2024-12-30 Falko Ruppenthal , Denis Ridzal , Dmitri Kuzmin , Pavel Bochev

The boundary-value problem of the reflection and transmission of a plane wave due to a slab of an electro-optic structurally chiral material (SCM) is formulated in terms of a 4x4 matrix ordinary differential equation. The SCM slab can be…

Optics · Physics 2007-05-23 A. Lakhtakia , J. A. Reyes

This work addresses the distributed frequency control problem in power systems considering controllable load with a nonsmooth cost. The nonsmoothness exists widely in power systems, such as tiered price, greatly challenging the design of…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Zhaojian Wang , Feng Liua , Changhong Zhao , Zhiyuan Ma , Wei Wei

A model for the development of turbulent shear flows, created by non-uniform parallel flows in a confining channel, is used to identify the diffuser shape that maximises pressure recovery when the inflow is non-uniform. Wide diffuser angles…

Fluid Dynamics · Physics 2018-04-09 GP Benham , IJ Hewitt , CP Please , P Bird

Many problems in science and engineering can be formulated as optimization problems, subject to complex nonlinear constraints. The solutions of highly nonlinear problems usually require sophisticated optimization algorithms, and traditional…

Neural and Evolutionary Computing · Computer Science 2020-03-26 Xin-She Yang

Metaheuristic particle swarm optimization (PSO) algorithm has emerged as one of the most promising optimization techniques in solving highly constrained non-linear and non-convex optimization problems in different areas of electrical…

Neural and Evolutionary Computing · Computer Science 2019-01-01 Mahamad Nabab Alam