Maxwell’s equations with hypersingularities at a negative index material conical tip: Maxwell's equations with hypersingularities at a negative index material conical tip

Authors: Bonnet-Ben, Anne-Sophie, Chesnel, Lucas, Rihani, Mahran

Contributors: Chesnel, Lucas, Propagation des Ondes : Étude Mathématique et Simulation (POEMS), Unité de Mathématiques Appliquées (UMA), École Nationale Supérieure de Techniques Avancées (ENSTA Paris), Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-École Nationale Supérieure de Techniques Avancées (ENSTA Paris), Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-Centre National de la Recherche Scientifique (CNRS)-Centre Inria de l'Institut Polytechnique de Paris, Centre Inria de Saclay, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre Inria de Saclay, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Inversion of Differential Equations For Imaging and physiX (IDEFIX), Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-EDF R&D (EDF R&D), EDF (EDF)-EDF (EDF)-Centre Inria de l'Institut Polytechnique de Paris, Centre de Mathématiques Appliquées de l'Ecole polytechnique (CMAP), Institut National de Recherche en Informatique et en Automatique (Inria)-École polytechnique (X), Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-Centre National de la Recherche Scientifique (CNRS)

Source: Pure and Applied Analysis. 7:127-169

Subject Terms: Variational methods applied to problems in optics and electromagnetic theory, black hole singularities, 35B65, Smoothness and regularity of solutions to PDEs, Composite media, random media in optics and electromagnetic theory, limiting radiation principle, [MATH] Mathematics [math], 78M30, Mathematics - Analysis of PDEs, Maxwell equations, Maxwell's equations, 78A48, Electromagnetic theory (general), Mandelstam radiation principle, 35Q61, FOS: Mathematics, negative index materials, [MATH]Mathematics [math], MSC: 78A25, Kondratiev theory, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2305.01982
https://zbmath.org/8014453
https://doi.org/10.2140/paa.2025.7.127
https://hal.science/hal-04087360v2

Junction in a thin multi-domain for nonsimple grade two materials in BH

Authors: Rita Ferreira, José Matias, Elvira Zappale

Source: Nonlinear Analysis: Real World Applications. 84:104322

Subject Terms: Junctions, Variational methods applied to problems in optics and electromagnetic theory, thin film, dimension reduction, Thin films, Nonlinear elasticity, wire, martensite-austenite, interfacial energy, Mathematics - Analysis of PDEs, 49J45, 74B20, 74C99, 74K10, 74K20, 74K30, 74K35, 78M30, 78M35, trace constraints, Asymptotic analysis in optics and electromagnetic theory, junction in thin multi-domains, FOS: Mathematics, Plastic materials, materials of stress-rate and internal-variable type, \(\Gamma\)-convergence, non-simple grade-two materials, Methods involving semicontinuity and convergence, relaxation, bounded Hessian, Functional Analysis (math.FA), Mathematics - Functional Analysis, Junction in thin multi-domains, Beam, Wire, Thin film, Bounded hessian, Dimension reduction, Γ-convergence, Plasticity, Martensite-austenite, Trace constraints, Non-simple grade-two materials:Interfacial energy, plasticity, beam, Sensitivity, stability, well-posedness, Rods (beams, columns, shafts, arches, rings, etc.), Plates, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/abs/2402.16633
https://hdl.handle.net/11573/1745493
https://doi.org/10.1016/j.nonrwa.2025.104322

Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media: Numerical solutions of the electromagnetic scattering by overfilled cavities with inhomogeneous anisotropic media

Authors: Zhao, Meiling, He, Jiahui, Wang, Liqun

Source: Communications in Computational Physics. 34:530-562

Subject Terms: Variational methods applied to problems in optics and electromagnetic theory, Computational methods for sparse matrices, Iterative numerical methods for linear systems, Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, Maxwell equations, electromagnetic scattering, Petrov-Galerkin finite element interface method, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, inhomogeneous anisotropic media, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, overfilled cavity, Diffraction, scattering, non-body-fitted grids

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Access URL: https://zbmath.org/7784443
https://doi.org/10.4208/cicp.oa-2022-0104

Approximate cloaking for electromagnetic waves via transformation optics: Cloaking versus infinite energy: Approximate cloaking for electromagnetic waves via transformation optics: cloaking versus infinite energy

Authors: Hoai-Minh Nguyen, Loc Tran

Contributors: Nguyen, Hoai-Minh

Source: Mathematical Models and Methods in Applied Sciences. 29:1511-1552

Subject Terms: Variational methods applied to problems in optics and electromagnetic theory, Variational methods applied to PDEs, electromagnetic scattering, Maxwells equations, infinite energy, [SPI] Engineering Sciences [physics], Electromagnetic theory (general), Asymptotic behavior of solutions to PDEs, transformation optics, invisibility cloaking, [MATH] Mathematics [math], Waves and radiation in optics and electromagnetic theory, PDEs in connection with optics and electromagnetic theory

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https://hal.science/hal-03932696v1/document
https://hal.science/hal-03932696v1
https://doi.org/10.1142/s0218202519500271
https://zbmath.org/7139234
https://doi.org/10.1142/s0218202519500271
https://www.worldscientific.com/doi/abs/10.1142/S0218202519500271

Some New Advances in the Theory of Dynamic Materials: Some new advances in the theory of dynamic materials

Authors: Suzanne L. Weekes, Konstantin A. Lurie

Source: The Rational Spirit in Modern Continuum Mechanics ISBN: 1402018282

Subject Terms: Homogenization in optics and electromagnetic theory, Variational methods applied to problems in optics and electromagnetic theory, 0203 mechanical engineering, Composite media, random media in optics and electromagnetic theory, 4. Education, 0103 physical sciences, 02 engineering and technology, 0101 mathematics, 01 natural sciences

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https://dialnet.unirioja.es/servlet/articulo?codigo=822168
https://link.springer.com/article/10.1023/B:ELAS.0000018780.82718.19
https://link.springer.com/chapter/10.1007/1-4020-2308-1_32
https://link.springer.com/content/pdf/10.1007%2F1-4020-2308-1_32.pdf
https://rd.springer.com/chapter/10.1007/1-4020-2308-1_32

A Transmission Problem with a Fractal Interface: A transmission problem with a fractal interface.

Authors: LANCIA, Maria Rosaria

Source: Zeitschrift für Analysis und ihre Anwendungen. 21:113-133

Subject Terms: Dirichlet forms, Variational methods for second-order elliptic equations, Variational methods applied to problems in optics and electromagnetic theory, transmission problem, FRACTALS, Transmission problems, fractal boundary, 0101 mathematics, Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence, Dirichlet form, Besov space, 01 natural sciences

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https://zbmath.org/1779538
https://doi.org/10.4171/zaa/1067
https://ems.press/content/serial-article-files/5485
https://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=21&iss=1&rank=6
https://ems.press/journals/zaa/articles/10777
https://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=21&iss=1&rank=6
https://hdl.handle.net/11573/202512

Existence, uniqueness and finite element approximation of the solution of time‐harmonic electromagnetic boundary value problems involving metamaterials: Existence, uniqueness and finite element approximation of the solution of time-harmonic electromagnetic boundary value problems involving metamaterials

Authors: P. FERNANDES, RAFFETTO, MIRCO

Source: Compel 24 (2005): 1450–1469. doi:10.1108/03321640510615724
info:cnr-pdr/source/autori:Fernandes P.; Raffetto M./titolo:Existence, uniqueness and finite element approximation of solution of time-harmonic electromagnetic boundary value problems involving metamaterials/doi:10.1108%2F03321640510615724/rivista:Compel/anno:2005/pagina_da:1450/pagina_a:1469/intervallo_pagine:1450–1469/volume:24

Subject Terms: Variational methods applied to problems in optics and electromagnetic theory, Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, Electromagnetism, Radiation, Finite element analysis, 0202 electrical engineering, electronic engineering, information engineering, Composite materials, 02 engineering and technology

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http://www.emeraldinsight.com/doi/ref/10.1108/03321640510615724
https://www.emerald.com/insight/content/doi/10.1108/03321640510615724/full/html
https://dialnet.unirioja.es/servlet/articulo?codigo=1295134
https://hdl.handle.net/11567/213070

Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes

Authors: Lohrengel, Stephanie, Piperno, Serge, Fezoui, Loula, Lanteri, Stephane

Contributors: Lohrengel, Stephanie

Source: ESAIM: Mathematical Modelling and Numerical Analysis. 39:1149-1176

Subject Terms: Variational methods applied to problems in optics and electromagnetic theory, discontinuous Galerkin methods, electromagnetics, Numerical methods in optics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, leap-frog time scheme, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Waves and radiation in optics and electromagnetic theory, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, 01 natural sciences

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Access URL: https://www.esaim-m2an.org/articles/m2an/pdf/2005/06/m2an0466.pdf
https://zbmath.org/2243535
https://doi.org/10.1051/m2an:2005049
https://hal.science/hal-00210500v1

An E-based splitting method with a non-matching grid for eddy current equations with discontinuous coefficients

Authors: Kang, T, Kim, KI

Contributors: 수학과, Kim, KI

Source: Applied Mathematics and Computation. 170:462-484

Subject Terms: Variational methods applied to problems in optics and electromagnetic theory, PDEs with low regular coefficients and/or low regular data, Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, E-based splitting method, interface problem, error estimate, eddy current equations, 0101 mathematics, MAXWELL EQUATIONS, non-matching grid, 01 natural sciences, edge and nodal elements

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0096300304009622
https://dblp.uni-trier.de/db/journals/amc/amc170.html#KangK05
https://oasis.postech.ac.kr/handle/2014.oak/29558

A numerical method for the Landau–Lifshitz equation with magnetostriction: A numerical method for the Landau-Lifshitz equation with magnetostriction

Authors: Banas, Lubomir

Source: Mathematical Methods in the Applied Sciences. 28:1939-1954

Subject Terms: Variational methods applied to problems in optics and electromagnetic theory, Statistical mechanics of magnetic materials, Landau-Lifshitz equation, numerical methods, 0101 mathematics, magnetostriction, Integration with respect to measures and other set functions, 01 natural sciences

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Access URL: https://zbmath.org/2236549
https://doi.org/10.1002/mma.651
https://ui.adsabs.harvard.edu/abs/2005MMAS...28.1939B/abstract
https://onlinelibrary.wiley.com/doi/10.1002/mma.651

Validation of a 3D macroscopic model for superconductors

Authors: RUBINACCI, GUGLIELMO, F. Villone, W. Zamboni

Source: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering. 24:546-557

Subject Terms: Technical applications of optics and electromagnetic theory, Variational methods applied to problems in optics and electromagnetic theory, 0103 physical sciences, 01 natural sciences, Statistical mechanics of superconductors

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https://hdl.handle.net/11580/7233

Variational solutions for the discrete nonlinear Schrödinger equation

Authors: Kaup, D. J.

Source: Mathematics and Computers in Simulation. 69:322-333

Subject Terms: variational solutions, DYNAMICS, Variational methods applied to problems in optics and electromagnetic theory, Soliton equations, discrete soliton solutions, SOLITON, discrete nonlinear Schrodinger equation, PROPAGATION, OPTICAL-FIBER, Antennas, waveguides in optics and electromagnetic theory, 01 natural sciences, Discrete nonlinear Schrödinger equation, Discrete nonlinear Schrödinger equation, 0103 physical sciences, optical, Interdisciplinary Applications, pulses, Variational solutions, nonlinear waveguide, evolution equations, NLS equations (nonlinear Schrödinger equations), 4. Education, Software Engineering, pitchfork bifurcation, Optical pulses, Computer Science, Applied, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics

File Description: application/xml

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https://www.sciencedirect.com/science/article/abs/pii/S0378475405000297
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https://dblp.uni-trier.de/db/journals/mcs/mcs69.html#Kaup05
https://dl.acm.org/doi/10.1016/j.matcom.2005.01.015
https://doi.org/10.1016/j.matcom.2005.01.015

Another Thin-Film Limit of Micromagnetics: Another thin-film limit of micromagnetics

Authors: Kohn, RV, Slastikov, VV

Source: Archive for Rational Mechanics and Analysis. 178:227-245

Subject Terms: FERROMAGNETIC-FILMS, Variational methods applied to problems in optics and electromagnetic theory, asymptotic analysis, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Asymptotic analysis in optics and electromagnetic theory, 0103 physical sciences, Fourier transform, magnetostatic energy, 0101 mathematics, Variational principles in infinite-dimensional spaces, variational problem, 01 natural sciences

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https://nyuscholars.nyu.edu/en/publications/another-thin-film-limit-of-micromagnetics
https://link.springer.com/article/10.1007/s00205-005-0372-7
https://dialnet.unirioja.es/servlet/articulo?codigo=1295136
http://ui.adsabs.harvard.edu/abs/2005ArRMA.178..227K/abstract
https://link.springer.com/content/pdf/10.1007%2Fs00205-005-0372-7.pdf

Well-posedness in Maxwell systems with distributions of polarization relaxation parameters

Authors: Nathan L. Gibson, Harvey Thomas Banks

Source: Applied Mathematics Letters. 18:423-430

Subject Terms: Variational methods applied to problems in optics and electromagnetic theory, Applied Mathematics, existence, uniqueness, 01 natural sciences, Distributed relaxation parameters, one-dimensional Maxwell's equations with polarization, Well-posedness, well-posedness, Maxwell's equations with polarization, distributed relaxation parameters, variational solution, Inverse problems (including inverse scattering) in optics and electromagnetic theory, 0101 mathematics

File Description: application/xml

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https://www.sciencedirect.com/science/article/pii/S0893965904003490
https://repository.lib.ncsu.edu/handle/1840.4/433
https://apps.dtic.mil/dtic/tr/fulltext/u2/a444298.pdf
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https://www.sciencedirect.com/science/article/abs/pii/S0893965904003490

New design formulas for microstrip transmission lines using high-dielectric substrate

Authors: Brahim Haraoubia, Mohamed Lamine Tounsi, Mustapha C. E. Yagoub

Source: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering. 24:15-34

Subject Terms: Variational methods applied to problems in optics and electromagnetic theory, microstrip transmission line, 0202 electrical engineering, electronic engineering, information engineering, high-dielectric substrate, 02 engineering and technology, Waves and radiation in optics and electromagnetic theory, Variational principles of physics, Antennas, waveguides in optics and electromagnetic theory, 7. Clean energy

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Mesoscopic model for ferromagnets with isotropic hardening

Authors: Martin Kružík, Tomáš Roubíček

Source: Zeitschrift für angewandte Mathematik und Physik. 56:107-135

Subject Terms: Variational methods applied to problems in optics and electromagnetic theory, hysteresis, Statistical mechanics of magnetic materials, hardening, Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators, rate-independent dissipation, Variational principles of physics, 0101 mathematics, PDEs in connection with optics and electromagnetic theory, ferromagnetism, 01 natural sciences, variational inequalities, mesoscopic model

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https://ui.adsabs.harvard.edu/abs/2005ZaMP...56..107R/abstract
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https://link.springer.com/content/pdf/10.1007/s00033-003-2108-6.pdf

Vortices and pinning effects for the Ginzburg-Landau model in multiply connected domains

Authors: Lia Bronsard, Stan Alama

Source: Communications on Pure and Applied Mathematics. 59:36-70

Subject Terms: Variational methods applied to problems in optics and electromagnetic theory, asymptotic analysis, Variational methods applied to PDEs, Ginzburg-Landau model, superconductivity, critical point, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, 0101 mathematics, 01 natural sciences, Statistical mechanics of superconductors

File Description: application/xml

Access URL: https://zbmath.org/2245313
https://doi.org/10.1002/cpa.20086
https://onlinelibrary.wiley.com/doi/10.1002/cpa.20086

On the Existence of Infinitely Many Modes of a Nonlocal Nonlinear Schrödinger Equation Related to Dispersion-Managed Solitons: On the existence of infinitely many modes of a nonlocal nonlinear Schrödinger equation related to dispersion-managed solitons

Authors: Michael Kurth

Source: SIAM Journal on Mathematical Analysis. 36:967-985

Subject Terms: Bifurcations in context of PDEs, Bifurcation theory for ordinary differential equations, Variational methods applied to problems in optics and electromagnetic theory, dispersion management, nonlinear bound states, critical points, NLS equations (nonlinear Schrödinger equations), harmonic potential, stability, 01 natural sciences, energy functional, symmetric bi-soliton, decay, global bifucation, 0101 mathematics, nonlinear Schrödinger equation

File Description: application/xml

Access URL: https://zbmath.org/2139041
https://doi.org/10.1137/s0036141003431530

Comparisons of finite element and Rayleigh methods for the study of conical Bloch waves in arrays of metallic cylinders

Authors: Guenneau, Sébastien, Nicolet, André, Geuzaine, Christophe, Movchan, Alexander, Zolla, Frédéric

Contributors: Guenneau, Sébastien

Source: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering. 23:932-949

Subject Terms: [PHYS.PHYS.PHYS-OPTICS] Physics [physics]/Physics [physics]/Optics [physics.optics], Variational methods applied to problems in optics and electromagnetic theory, Physique, Physics, Physique, chimie, mathématiques & sciences de la terre, Numerical methods in optics, Edge-elements, 02 engineering and technology, [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], 01 natural sciences, asymptotic analysis, Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, asymptotics, Physical, chemical, mathematical & earth Sciences, finite element, multipole method, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, Rayleigh method

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http://www.emeraldinsight.com/doi/10.1108/03321640410553364
https://hal.science/hal-00082871v1

Multi-domain topology optimization of electromagnetic systems

Authors: Seungkyu Park, Je-Nam Kang, Semyung Wang

Source: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering. 23:1036-1044

Subject Terms: Variational methods applied to problems in optics and electromagnetic theory, Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, 0103 physical sciences, multi-domain topology, Optimization problems in optics and electromagnetic theory, actuators, optimization, 01 natural sciences

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