\(l_{2}\) superconvergence analysis of nonconforming element approximation for 3D time-harmonic Maxwell's equations
type: Item
instance of: scholarly article
title: \(l_{2}\) superconvergence analysis of nonconforming element approximation for 3D time-harmonic Maxwell's equations
zbMATH Open document ID: 1383.78043
author: Peizhen Wang
author: Ming Sun
author: Changhui Yao
published in: Applied Numerical Mathematics
publication date: 2018-02-15T00:00:00Z
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 6839080
zbMATH Keywords: nonconforming element
zbMATH Keywords: superconvergence
zbMATH Keywords: postprocess
zbMATH Keywords: time-harmonic Maxwell's equations
MaRDI profile type: Publication
full work available at URL: j.apnum.2017.12.015
OpenAlex ID: W2776579710
cites work: Hierachic \(hp\)-edge element families for Maxwell's equations on hybrid quadrilateral/triangular meshes
cites work: Q4884076
cites work: Superconvergence of mixed finite element semi-discretizations of two time-dependent problems.
cites work: A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations
cites work: A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem
cites work: A quadratic nonconforming vector finite element for \(H(\text{curl}; \varOmega)\cap H(\text{div}; \varOmega)\)
cites work: Q4162607
cites work: Superconvergence of Discontinuous Galerkin Methods for Linear Hyperbolic Equations
cites work: Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations
cites work: Superconvergence of the numerical traces of discontinuous Galerkin and Hybridized methods for convection-diffusion problems in one space dimension
cites work: Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell's equations on Cartesian grids
cites work: Superconvergence analysis for time-dependent Maxwell's equations in metamaterials
cites work: Averaging for superconvergence: verification and application of 2D edge elements to Maxwell's equations in metamaterials
cites work: Superconvergence analysis for linear tetrahedral edge elements
cites work: Superconvergence of mixed finite element approximations to 3-D Maxwell's equations in metamaterials
cites work: Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
cites work: Superconvergence analysis of Yee scheme for metamaterial Maxwell's equations on non-uniform rectangular meshes
cites work: Q4457049
cites work: Global superconvergence for Maxwell's equations
cites work: Nonconforming vector finite elements for \(H(\operatorname{curl};\Omega)\cap H (\operatorname{div};\Omega)\)
cites work: Superconvergence of finite element approximations to Maxwell's equations
cites work: Finite Element Methods for Maxwell's Equations
cites work: Superconvergence and extrapolation analysis of a nonconforming mixed finite element approximation for time-harmonic Maxwell's equations
cites work: ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS TO MAXWELL'S EQUATIONS IN BOUNDED DOMAINS WITH APPLICATION TO MAGNETOTELLURICS
cites work: Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
cites work: Q3618381
cites work: Nonconforming finite element approximation of time‐dependent Maxwell's equations in Debye medium
cites work: Uniform superconvergence analysis of the discontinuous Galerkin method for a singularly perturbed problem in 1-D
cites work: Asymptotic expansion analysis of nonconforming mixed finite element methods for time-dependent Maxwell's equations in Debye medium
cites work: Superconvergence analysis of nonconforming mixed finite element methods for time-dependent Maxwell's equations in isotropic cold plasma media
cites work: Nonconforming Mixed Finite Element Method for Time-dependent Maxwell's Equations with ABC
cites work: Finite element superconvergence approximation for one-dimensional singularly perturbed problems
cites work: Superconvergent derivative recovery for the intermediate finite element family of the second type
cites work: Q5583721
DOI: 10.1016/J.APNUM.2017.12.015
description: scientific article; zbMATH DE number 6839080