A new posteriori error estimates for a discontinuous Galerkin method for a reaction-diffusion problem

DOI10.1016/j.amc.2015.01.032zbMath1338.65242OpenAlexW2070603494MaRDI QIDQ299711

Jiwei Cao, Zhihao Ge

Publication date: 22 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.01.032

zbMATH Keywords

discontinuous Galerkin methodserror indicatorposteriori error estimation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Unnamed Item
• A discontinuous \(hp\) finite element method for diffusion problems
• A discontinuous \(hp\) finite element method for diffusion problems: 1-D analysis
• Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
• Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
• The $h-p$ version of the finite element method with quasiuniform meshes
• The Optimal Convergence Rate of the p-Version of the Finite Element Method
• An Interior Penalty Finite Element Method with Discontinuous Elements
• Mixed and Hybrid Finite Element Methods
• An Elliptic Collocation-Finite Element Method with Interior Penalties
• A Local Residual Finite Element Procedure for Elliptic Equations
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems