Local ultraconvergence of quadratic element
type: Item
instance of: scholarly article
title: Local ultraconvergence of quadratic element
zbMATH Open document ID: 1477.65217
author: Wen-Ming He
author: Ren Zhao
published in: Calcolo
publication date: 2021-08-09T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 45N05
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 7379915
zbMATH Keywords: the interpolation post-processing technique
zbMATH Keywords: ultraconvergence
zbMATH Keywords: quadratic triangular element
zbMATH Keywords: integral identity
zbMATH Keywords: the local symmetric technique
MaRDI profile type: Publication
full work available at URL: s10092-021-00427-4
OpenAlex ID: W3184650424
cites work: A new approach to Richardson extrapolation in the finite element method for second order elliptic problems
cites work: Improving the Rate of Convergence of High-Order Finite Elements on Polyhedra I:A PrioriEstimates
cites work: Q4162607
cites work: The highest-order superconvergence for BI-\(k\) degree rectangular elements at nodes: a proof of \(2k\)-conjecture
cites work: \(L^p\) error estimates of two-grid method for miscible displacement problem
cites work: Linear finite element superconvergence on simplicial meshes
cites work: Q4131587
cites work: Q3470840
cites work: Polynomial preserving recovery on boundary
cites work: The local ultraconvergence of high‐order finite element method for second‐order elliptic problems with constant coefficients over a rectangular partition
cites work: Ultraconvergence of Finite Element Method by Richardson Extrapolation for Elliptic Problems with Constant Coefficients
cites work: Local ultraconvergence of linear and bilinear finite element method for second order elliptic problems
cites work: Ultraconvergence of high order FEMs for elliptic problems with variable coefficients
cites work: Local ultraconvergence of high order finite element method by interpolation postprocessing technique for elliptic problems with constant coefficients
cites work: Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes. I: A smooth problem and globally quasi-uniform meshes
cites work: Global and local refinement techniques yielding nonobtuse tetrahedral partitions
cites work: ISOLATION OF SINGULARITIES OF THE GREEN'S FUNCTION
cites work: Q3123991
cites work: Superconvergence in high-order Galerkin finite element methods
cites work: Interior Maximum Norm Estimates for Finite Element Methods
cites work: Superconvergence in Finite Element Methods and Meshes That are Locally Symmetric with Respect to a Point
cites work: Interior Maximum-Norm Estimates for Finite Element Methods, Part II
cites work: Optimal L ∞ Estimates for the Finite Element Method on Irregular Meshes
cites work: Superconvergence in Galerkin finite element methods
cites work: Ultraconvergence of the patch recovery technique II
cites work: Ultraconvergence of ZZ patch recovery at mesh symmetry points
cites work: Q4465186
DOI: 10.1007/S10092-021-00427-4
description: scientific article; zbMATH DE number 7379915