Search Results - Variational methods applied to problems in optics and electromagnetic theory~

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 et al.

Contributors: Bonnet-Ben, Anne-Sophie Chesnel, Lucas Rihani, Mahran et al.

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

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

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)

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

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 Nguyen, Hoai-Minh

Contributors: Hoai-Minh Nguyen Loc Tran 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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Access URL: https://infoscience.epfl.ch/record/234286/files/Approximate%20cloaking%20for%20electromagnetic%20waves%20via%20transformation%20optics-%20Cloaking%20versus%20infinite%20energy.pdf
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

Solution of Electromagnetic Scattering Problems Involving Three-Dimensional Homogeneous Dielectric Objects by the Single Integral Equation Method: Solution of electromagnetic scattering problems involving three-dimensional homogeneous dielectric objects by the single integral equation method

Authors: Michael S. Yeung

Source: Journal of Scientific Computing. 15:1-17

Subject Terms: Variational methods applied to problems in optics and electromagnetic theory, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Singular integral equations, 0101 mathematics, Finite difference methods applied to problems in optics and electromagnetic theory, 01 natural sciences, Boundary element methods applied to problems in optics and electromagnetic theory, Diffraction, scattering

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Access URL: https://zbmath.org/1643698
https://doi.org/10.1023/a:1007575417396
https://dblp.uni-trier.de/db/journals/jscic/jscic15.html#Yeung00
https://link.springer.com/article/10.1023/A%3A1007575417396

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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Access URL: https://core.ac.uk/display/54732689
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

Comparison between two numerical methods¶for a magnetostatic problem: Comparison between two numerical methods for a magnetostatic problem

Authors: Gerbeau, Jean-Frédéric Le Bris, Claude

Contributors: Gerbeau, Jean-Frédéric Le Bris, Claude

Source: Calcolo. 37:1-20

Subject Terms: Variational methods applied to problems in optics and electromagnetic theory, magnetostatics, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], 0101 mathematics, Electro- and magnetostatics, variational problem, 01 natural sciences

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Access URL: https://zbmath.org/1472024
https://doi.org/10.1007/s100920050001
https://inria.hal.science/hal-00691699v1
https://doi.org/10.1007/s100920050001
https://link.springer.com/article/10.1007/s100920050001
https://hal.inria.fr/hal-00691699

Discrete methods in the study of an inverse problem for Laplace's equation

Authors: FASINO, Dario G. INGLESE

Source: IMA Journal of Numerical Analysis. 19:105-118

Subject Terms: Inverse problems for PDEs, Variational methods applied to problems in optics and electromagnetic theory, convergence, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Numerical methods for inverse problems for boundary value problems involving PDEs, nonlinear inverse problem, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, 01 natural sciences, Technical applications of optics and electromagnetic theory, Laplace's equation, corrosion detection, 0101 mathematics, numerical experiments, Galerkin method, nondestructive evaluation

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Access URL: https://academic.oup.com/imajna/article/19/1/105/816644
https://core.ac.uk/display/53312719
http://academic.oup.com/imajna/article-abstract/19/1/105/816644/
https://hdl.handle.net/20.500.14243/209255
https://hdl.handle.net/11390/674657

Variational principle, characteristic electric multipoles, and higher polarizing moments in field theory

Authors: V. P. Kazantsev

Source: Theoretical and Mathematical Physics. 119:750-760

Subject Terms: variational principle, 0301 basic medicine, Variational methods applied to problems in optics and electromagnetic theory, 0303 health sciences, 03 medical and health sciences, superconductor Lagrangian, moment problem in electrostatics, spherical multipole moments, harmonic polynomials, Green's function, Electro- and magnetostatics, characteristic electric multipoles

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Access URL: https://zbmath.org/1465981
https://doi.org/10.1007/bf02557385
http://ui.adsabs.harvard.edu/abs/1999TMP...119..750K/abstract
https://link.springer.com/article/10.1007/BF02557385

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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Access URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=21&iss=1&rank=6&srch=searchterm%7Clancia
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

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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Access URL: https://link.springer.com/content/pdf/10.1023/B:ELAS.0000018780.82718.19.pdf
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

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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Access URL: https://www.emerald.com/insight/content/doi/10.1108/03321640410553463/full/html
http://www.emeraldinsight.com/doi/pdfplus/10.1108/03321640410553463
https://dialnet.unirioja.es/servlet/articulo?codigo=1135389

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

Authors: Kang, T Kim, KI 수학과

Contributors: Kang, T Kim, KI 수학과

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

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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

On variational electromagnetics: Theory and application: On variational electromagnetics: theory and application

Authors: Chun-Hsiung Chen Shyh-Kang Jeng

Source: IEEE Transactions on Antennas and Propagation. 32:902-907

Subject Terms: variational principle, hybrid element method, Variational methods applied to problems in optics and electromagnetic theory, Electromagnetic theory (general), 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, frontal solution algorithm

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Access URL: https://zbmath.org/1504254
https://doi.org/10.1109/tap.1984.1143439
http://ieeexplore.ieee.org/xpls/abs_all.jsp?tp=&arnumber=1143439&isnumber=25649
http://ui.adsabs.harvard.edu/abs/1984ITAP...32..902J/abstract

Shape optimization for radar cross sections by a gradient method

Authors: P. Weinerfelt A. Bondeson Yongtao Yang

Source: International Journal for Numerical Methods in Engineering. 61:687-715

Subject Terms: Technical applications of optics and electromagnetic theory, Variational methods applied to problems in optics and electromagnetic theory, gradient method, adjoint problem, Other numerical methods in calculus of variations, radar cross section, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, design sensitivities, optimization, 7. Clean energy, Diffraction, scattering

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Access URL: https://zbmath.org/2200174
https://doi.org/10.1002/nme.1088
https://onlinelibrary.wiley.com/doi/10.1002/nme.1088/full
https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.1088
http://doi.wiley.com/10.1002/nme.1088
http://ui.adsabs.harvard.edu/abs/2004IJNME..61..687B/abstract

A limiting absorption principle for scattering problems with unbounded obstacles

Authors: Bonnet-Ben Dhia, Anne-Sophie Tillequin, Axel Arnoux, Aurélien

Contributors: Bonnet-Ben Dhia, Anne-Sophie Tillequin, Axel Arnoux, Aurélien

Source: Mathematical Methods in the Applied Sciences. 24:1089-1111

Subject Terms: Variational methods applied to problems in optics and electromagnetic theory, limiting absorption principle, scattering by unbounded obstacles, 0101 mathematics, Antennas, waveguides in optics and electromagnetic theory, Numerical methods for integral equations, integral transforms, 01 natural sciences, Diffraction, scattering

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Access URL: https://zbmath.org/1702172
https://doi.org/10.1002/mma.259
https://ensta.hal.science/hal-01008796v1
https://doi.org/10.1002/mma.259
https://ui.adsabs.harvard.edu/abs/2001MMAS...24.1089B/abstract
https://hal-ensta.archives-ouvertes.fr/hal-01008796
https://hal-ensta-paris.archives-ouvertes.fr/hal-01008796
https://hal.archives-ouvertes.fr/hal-01008796

A variational approach to magnetic resonance coil sensitivity estimation

Authors: Roland Bammer Stephen L. Keeling

Source: Applied Mathematics and Computation. 158:359-388

Subject Terms: Variational methods applied to problems in optics and electromagnetic theory, 03 medical and health sciences, 0302 clinical medicine, Boundary value problems for higher-order elliptic equations, surface estimation, Statistical mechanics of magnetic materials, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, magnetic resonance coil sensitivity estimation, Finite difference methods applied to problems in optics and electromagnetic theory, SENSE reconstruction

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Access URL: https://dblp.uni-trier.de/db/journals/amc/amc158.html#KeelingB04
https://www.sciencedirect.com/science/article/pii/S0096300303010130
https://math.uni-graz.at/invcon/medimage/coils.pdf
https://findanexpert.unimelb.edu.au/scholarlywork/1230849-a-variational-approach-to-magnetic-resonance-coil-sensitivity-estimation

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 et al.

Contributors: Guenneau, Sébastien Nicolet, André Geuzaine, Christophe et al.

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

File Description: application/xml

Access URL: https://hal.archives-ouvertes.fr/hal-00082871
https://orbi.uliege.be/handle/2268/22763
https://dialnet.unirioja.es/servlet/articulo?codigo=1135409
https://www.emerald.com/insight/content/doi/10.1108/03321640410553364/full/html
http://www.emeraldinsight.com/doi/10.1108/03321640410553364
https://hal.science/hal-00082871v1

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

Access URL: https://math.ucf.edu/~kaup/kaup_files/pub218.pdf
https://www.sciencedirect.com/science/article/abs/pii/S0378475405000297
https://ideas.repec.org/a/eee/matcom/v69y2005i3p322-333.html
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

Variational principles in electromagnetism

Authors: Barbara Lazzari Roberta Nibbi

Source: IMA Journal of Applied Mathematics. 65:45-95

Subject Terms: History of mathematics in the 20th century, variational principles, Variational methods applied to problems in optics and electromagnetic theory, History of calculus of variations and optimal control, material with memory, Electromagnetic theory (general), Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials), electromagnetism, Variational principles of physics, Waves and radiation in optics and electromagnetic theory, 0101 mathematics, Electro- and magnetostatics, 01 natural sciences

File Description: application/xml

Access URL: https://academic.oup.com/imamat/article-abstract/65/1/45/706716/
http://ui.adsabs.harvard.edu/abs/2000JApMa..65...45L/abstract