Averaging for superconvergence: verification and application of 2D edge elements to Maxwell's equations in metamaterials
From MaRDI portal
Publication:465880
DOI10.1016/j.cma.2012.11.008zbMath1297.78016OpenAlexW1976176069MaRDI QIDQ465880
Yunqing Huang, Chao Wu, Jichun Li
Publication date: 24 October 2014
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2012.11.008
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items
Superconvergent pseudostress-velocity finite element methods for the Oseen equations, Superconvergence of the second order cubic edge elements with Maxwell's equations, Superconvergence analysis and PPR recovery of arbitrary order edge elements for Maxwell's equations, Superconvergence analysis of curlcurl-conforming elements on rectangular meshes, \(l_{2}\) superconvergence analysis of nonconforming element approximation for 3D time-harmonic Maxwell's equations, An adaptive edge finite element method for electromagnetic cloaking simulation, Superconvergence recovery of cubic edge elements for Maxwell's equations, Superconvergence analysis of high-order rectangular edge elements for time-harmonic Maxwell's equations, Superconvergence for Triangular Linear Edge Elements, Analysis and Application of Single Level, Multi-Level Monte Carlo and Quasi-Monte Carlo Finite Element Methods for Time-Dependent Maxwell's Equations with Random Inputs, Superconvergent recovery of edge finite element approximation for Maxwell's equations, A second order numerical scheme for nonlinear Maxwell's equations using conforming finite element, Superconvergent recovery of rectangular edge finite element approximation by local symmetry projection, Superconvergence analysis of second and third order rectangular edge elements with applications to Maxwell's equations, An adaptive edge finite element method for the Maxwell's equations in metamaterials, Mathematical analysis of Ziolkowski's PML model with application for wave propagation in metamaterials, Superconvergence analysis for linear tetrahedral edge elements, Function and curl recovery for the lowest order triangular edge element
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Superconvergence and extrapolation analysis of a nonconforming mixed finite element approximation for time-harmonic Maxwell's equations
- Superconvergence of mixed finite element approximations to 3-D Maxwell's equations in metamaterials
- Mixed methods using standard conforming finite elements
- Numerical convergence and physical fidelity analysis for Maxwell's equations in metamaterials
- Mixed finite elements in \(\mathbb{R}^3\)
- Superconvergence analysis of approximate boundary-flux calculations
- Superconvergence analysis for time-dependent Maxwell's equations in metamaterials
- Natural Superconvergence Points in Three-Dimensional Finite Elements
- Superconvergence of a Finite Element Approximation to the Solution of a Sobolev Equation in a Single Space Variable
- Superconvergence of recovered gradients of discrete time/piecewise linear Galerkin approximations for linear and nonlinear parabolic problems
- Superconvergence of finite element approximations to Maxwell's equations
- Asymptotically Exact A Posteriori Error Estimators, Part II: General Unstructured Grids
- Uniform Convergence and Superconvergence of Mixed Finite Element Methods on Anisotropically Refined Grids
- Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM
- Superconvergence of Finite Element Approximations for the Stokes Problem by Projection Methods
- Global superconvergence for Maxwell's equations
- SharpL2-Error Estimates and Superconvergence of Mixed Finite Element Methods for Non-Fickian Flows in Porous Media
- Finite Element Methods for Maxwell's Equations
- Analysis of recovery type a posteriori error estimators for mildly structured grids
- Interior Maximum-Norm Estimates for Finite Element Methods, Part II
- Computer-based proof of the existence of superconvergence points in the finite element method; superconvergence of the derivatives in finite element solutions of Laplace's, Poisson's, and the elasticity equations
- A New Finite Element Gradient Recovery Method: Superconvergence Property
- Superconvergence analysis for Maxwell's equations in dispersive media
- Averaging technique for FE -- a posteriori error control in elasticity. I: Conforming FEM
