Superconvergent recovery of rectangular edge finite element approximation by local symmetry projection
DOI10.1007/s10915-019-01057-3zbMath1434.78026OpenAlexW2977770372WikidataQ127174712 ScholiaQ127174712MaRDI QIDQ2291883
Chao Wu, Yunqing Huang, Nian-Yu Yi, Jin Yun Yuan
Publication date: 31 January 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-019-01057-3
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Maxwell equations (35Q61)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Recovery of normal derivatives from the piecewise \(L^2\) projection
- Averaging for superconvergence: verification and application of 2D edge elements to Maxwell's equations in metamaterials
- The superconvergent cluster recovery method
- Superconvergence of mixed finite element approximations to 3-D Maxwell's equations in metamaterials
- Mixed finite elements in \(\mathbb{R}^3\)
- A finite element method for approximating the time-harmonic Maxwell equations
- Function, derivative and high-order derivatives recovery methods using the local symmetry projection
- Local discontinuous Galerkin method with implicit-explicit time marching for incompressible miscible displacement problem in porous media
- Superconvergence of mixed finite element semi-discretizations of two time-dependent problems.
- Superconvergence in Galerkin finite element methods
- Superconvergence analysis of second and third order rectangular edge elements with applications to Maxwell's equations
- Superconvergence analysis for linear tetrahedral edge elements
- Superconvergence analysis for time-dependent Maxwell's equations in metamaterials
- Superconvergence recovery technique anda posteriori error estimators
- Higher Order Local Accuracy by Averaging in the Finite Element Method
- Maxwell and Lamé eigenvalues on polyhedra
- Superconvergence of finite element approximations to Maxwell's equations
- Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence
- Asymptotically Exact A Posteriori Error Estimators, Part II: General Unstructured Grids
- Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM
- A Posteriori Error Estimates Based on the Polynomial Preserving Recovery
- Global superconvergence for Maxwell's equations
- Finite Element Methods for Maxwell's Equations
- Some Weighted Averaging Methods for Gradient Recovery
- A New Finite Element Gradient Recovery Method: Superconvergence Property
- Superconvergence analysis for Maxwell's equations in dispersive media
This page was built for publication: Superconvergent recovery of rectangular edge finite element approximation by local symmetry projection