On Residual-Based a Posteriori Error Estimators for Lowest-Order Raviart-Thomas Element Approximation to Convection-Diffusion-Reaction Equations

DOI10.4208/JCM.1403-FE4zbMath1324.65138arXiv1312.6455MaRDI QIDQ5259959

Xiaoping Xie, Shaohong Du

Publication date: 29 June 2015

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6455

zbMATH Keywords

numerical experimentsa posteriori error estimatorsconvection-diffusion-reaction equationlowest-order Raviart-Thomas mixed finite elementpostprocessed approximation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (3)

Residual-based a posteriori error estimation for multipoint flux mixed finite element methods ⋮ Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems ⋮ Convergence of an adaptive mixed finite element method for convection-diffusion-reaction equations

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