Analysis of Transient Electromagnetic Scattering from a Three-Dimensional Open Cavity

DOI10.1137/140989637zbMath1405.35204OpenAlexW1161957738MaRDI QIDQ5499912

Peijun Li, Aihua W. Wood, Li-Lian Wang

Publication date: 5 August 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10220/39039

zbMATH Keywords

stabilitya priori estimateswell-posednesstransparent boundary conditionstime-domain Maxwell equationsthree-dimensional open cavity scattering problem

Mathematics Subject Classification ID

Diffraction, scattering (78A45) A priori estimates in context of PDEs (35B45) Electromagnetic theory (general) (78A25) Variational methods applied to problems in optics and electromagnetic theory (78M30) Maxwell equations (35Q61)

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Cites Work

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• Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl-curl Maxwell's equations
• A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell's equations
• An inverse cavity problem for Maxwell's equations
• Nonreflecting boundary conditions for the time-dependent wave equation
• Analysis of the electromagnetic scattering from a cavity.
• Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell's equations
• Analysis of electromagnetic scattering from an overfilled cavity in the ground plane
• A cavity problem for Maxwell's equations
• Finite element analysis of transient electromagnetic scattering from 2D cavities
• Numerical methods for Laplace transform inversion
• On L²-Stability Analysis of Time-Domain Acoustic Scattering Problems with Exact Nonreflecting Boundary Conditions
• Electromagnetic Scattering by Unbounded Rough Surfaces
• Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
• A time‐marching finite element method for an electromagnetic scattering problem
• An integral equation method for the electromagnetic scattering from cavities
• Low-Frequency Electromagnetic Scattering
• An overfilled cavity problem for Maxwell's equations
• Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
• Exact Nonreflecting Boundary Conditions for the Time Dependent Wave Equation
• Finite Element Methods for Maxwell's Equations
• Analysis of Transient Electromagnetic Scattering from Overfilled Cavities
• A Finite Element/Spectral Method for Approximating the Time-Harmonic Maxwell System in $\mathbb{R}^3 $
• Long-Time Stability and Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Domain Acoustic Scattering Problems
• Fast and Accurate Computation of Time-Domain Acoustic Scattering Problems with Exact Nonreflecting Boundary Conditions
• Discretization of the Time Domain CFIE for Acoustic Scattering Problems Using Convolution Quadrature
• A special higher order finite-element method for scattering by deep cavities
• A fast higher-order time-domain finite element-boundary integral method for 3-D electromagnetic scattering analysis
• A Fast Algorithm for the Electromagnetic Scattering from a Large Cavity
• $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
• Inverse acoustic and electromagnetic scattering theory
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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