An adaptive edge finite element method for the Maxwell's equations in metamaterials
type: Item
instance of: scholarly article
title: An adaptive edge finite element method for the Maxwell's equations in metamaterials
zbMATH Open document ID: 1444.78009
author: Hao Wang
author: Wei Yang
author: Yunqing Huang
published in: Electronic Research Archive
publication date: 2020-07-14T00:00:00Z
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 7220341
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: wave source terms
zbMATH Keywords: a-posteriori error estimator
zbMATH Keywords: adaptive edge finite element method
zbMATH Keywords: metamaterial media
MaRDI profile type: Publication
full work available at URL: era.2020051
OpenAlex ID: W3035174174
cites work: Plasmon resonance with finite frequencies: a validation of the quasi-static approximation for diametrically small inclusions
cites work: Nearly cloaking the full Maxwell equations: cloaking active contents with general conducting layers
cites work: A perfectly matched layer for the absorption of electromagnetic waves
cites work: Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions
cites work: Analysis of a Cartesian PML approximation to the three dimensional electromagnetic wave scattering problem
cites work: An adaptive \(P_1\) finite element method for two-dimensional Maxwell's equations
cites work: An adaptive \(P_1\) finite element method for two-dimensional transverse magnetic time harmonic Maxwell's equations with general material properties and general boundary conditions
cites work: A recovery-based a posteriori error estimator for \(H\)(curl) interface problems
cites work: Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements
cites work: Flux Recovery and A Posteriori Error Estimators: Conforming Elements for Scalar Elliptic Equations
cites work: Multigrid methods for two-dimensional Maxwell's equations on graded meshes
cites work: Full and partial cloaking in electromagnetic scattering
cites work: A Convergent Adaptive Algorithm for Poisson’s Equation
cites work: Q3545508
cites work: Convergence analysis of adaptive edge finite element method for variable coefficient time-harmonic Maxwell's equations
cites work: Averaging for superconvergence: verification and application of 2D edge elements to Maxwell's equations in metamaterials
cites work: Interior penalty DG methods for Maxwell's equations in dispersive media
cites work: Modeling Backward Wave Propagation in Metamaterials by the Finite Element Time-Domain Method
cites work: The superconvergent cluster recovery method
cites work: On Quasi-Static Cloaking Due to Anomalous Localized Resonance in $\mathbb{R}^3$
cites work: Analysis of electromagnetic scattering from plasmonic inclusions beyond the quasi-static approximation and applications
cites work: Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials
cites work: An adaptive edge finite element method for electromagnetic cloaking simulation
cites work: Virtual reshaping and invisibility in obstacle scattering
cites work: A Posteriori Error Estimates Based on the Polynomial Preserving Recovery
cites work: Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations
cites work: Controlling Electromagnetic Fields
cites work: Adjoint Recovery of Superconvergent Functionals from PDE Approximations
cites work: Q4485431
cites work: Adaptive finite element method for the sound wave problems in two kinds of media
cites work: Developing a time-domain finite element method for the Lorentz metamaterial model and applications
cites work: Modeling and analysis of the optical black hole in metamaterials by the finite element time-domain method
cites work: Mathematical Analysis and Finite Element Time Domain Simulation of Arbitrary Star-Shaped Electromagnetic Cloaks
cites work: The superconvergent patch recovery (SPR) and adaptive finite element refinement
DOI: 10.3934/ERA.2020051
description: scientific article; zbMATH DE number 7220341