Error reduction, convergence and optimality of an adaptive mixed finite element method
type: Item
instance of: scholarly article
title: Error reduction, convergence and optimality of an adaptive mixed finite element method
zbMATH Open document ID: 1251.93059
author: Shaohong Du
author: Xiaoping Xie
published in: Journal of Systems Science and Complexity
publication date: 2012-11-15T00:00:00Z
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93B40
zbMATH DE Number: 6106768
zbMATH Keywords: adaptive mixed finite element method (AMFEM)
zbMATH Keywords: convergence
zbMATH Keywords: optimality
zbMATH Keywords: discrete upper bound
zbMATH Keywords: quasi-orthogonality
zbMATH Keywords: Poisson equation
MaRDI profile type: Publication
full work available at URL: s11424-012-9242-1
OpenAlex ID: W2045813779
cites work: A‐posteriori error estimates for the finite element method
cites work: Error Estimates for Adaptive Finite Element Computations
cites work: Q4797885
cites work: A unifying theory of a posteriori error control for nonconforming finite element methods
cites work: Residual-based a posteriori error estimates of nonconforming finite element method for elliptic problems with Dirac delta source terms
cites work: Q4878704
cites work: Q4886148
cites work: Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
cites work: Data Oscillation and Convergence of Adaptive FEM
cites work: Local problems on stars: A posteriori error estimators, convergence, and performance
cites work: Convergence of Adaptive Finite Element Methods
cites work: Error reduction and convergence for an adaptive mixed finite element method
cites work: Convergence and optimality of adaptive mixed finite element methods
cites work: Q4300595
cites work: Mixed and Hybrid Finite Element Methods
cites work: Error estimators for a mixed method
cites work: A posteriori error estimate for the mixed finite element method
cites work: A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements
cites work: Adaptive finite element methods with convergence rates
cites work: Optimality of a standard adaptive finite element method
cites work: An optimally convergent adaptive mixed finite element method
cites work: The completion of locally refined simplicial partitions created by bisection
DOI: 10.1007/S11424-012-9242-1
description: scientific article; zbMATH DE number 6106768