Guaranteed and asymptotically exact a posteriori error estimator for lowest-order Raviart-Thomas mixed finite element method
type: Item
instance of: scholarly article
title: Guaranteed and asymptotically exact a posteriori error estimator for lowest-order Raviart-Thomas mixed finite element method
zbMATH Open document ID: 1466.35115
author: Kwang-Yeon Kim
published in: Applied Numerical Mathematics
publication date: 2021-06-03T00:00:00Z
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 7354395
zbMATH Keywords: second order elliptic equation
zbMATH Keywords: Dirichlet condition
zbMATH Keywords: finite element method
describes a project that uses: DistMesh
MaRDI profile type: Publication
full work available at URL: j.apnum.2021.03.002
OpenAlex ID: W3136871207
cites work: A Posteriori Error Estimation for Lowest Order Raviart–Thomas Mixed Finite Elements
cites work: Non-uniform order mixed FEM approximation: implementation, post-processing, computable error bound and adaptivity
cites work: Error estimators for a mixed method
cites work: On the Implementation of Mixed Methods as Nonconforming Methods for Second- Order Elliptic Problems
cites work: Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
cites work: Superconvergent recovery of Raviart-Thomas mixed finite elements on triangular grids
cites work: Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence
cites work: Superconvergence and a posteriori error estimation for triangular mixed finite elements
cites work: Superconvergence for triangular order \(k=1\) Raviart-Thomas mixed finite elements and for triangular standard quadratic finite element methods
cites work: Gradient superconvergence on uniform simplicial partitions of polytopes
cites work: A posteriori error estimate for the mixed finite element method
cites work: Q5479942
cites work: Linear finite element superconvergence on simplicial meshes
cites work: Local energy estimates for the finite element method on sharply varying grids
cites work: Interior and superconvergence estimates for mixed methods for second order elliptic problems
cites work: Global Estimates for Mixed Methods for Second Order Elliptic Equations
cites work: Superconvergence and Postprocessing of Fluxes from Lowest-Order Mixed Methods on Triangles and Tetrahedra
cites work: Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations
cites work: Centroidal Voronoi tessellation-based finite element superconvergence
cites work: A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
cites work: On the poisson equation with intersecting interfaces
cites work: Guaranteed a posteriori error estimator for mixed finite element methods of elliptic problems
cites work: ON THE ASYMPTOTIC EXACTNESS OF AN ERROR ESTIMATOR FOR THE LOWEST-ORDER RAVIART-THOMAS MIXED FINITE ELEMENT
cites work: Robust a posteriori error estimator for lowest-order finite element methods of interface problems
cites work: Global Superconvergence of the Lowest-Order Mixed Finite Element on Mildly Structured Meshes
cites work: Q5118479
cites work: Asymptotic exactness of an a posteriori error estimator based on the equilibrated residual method
cites work: Interior Estimates for Ritz-Galerkin Methods
cites work: A Simple Mesh Generator in MATLAB
cites work: Interior superconvergence error estimates for mixed finite element methods for second order elliptic problem
cites work: Approximations in elasticity based on the concept of function space
cites work: Q4136469
cites work: Postprocessing schemes for some mixed finite elements
cites work: A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations
cites work: Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
cites work: A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements
cites work: Can We Have Superconvergent Gradient Recovery Under Adaptive Meshes?
cites work: Analysis of recovery type a posteriori error estimators for mildly structured grids
DOI: 10.1016/J.APNUM.2021.03.002
description: scientific article; zbMATH DE number 7354395