A newa posteriori error estimate for convection-reaction-diffusion problems

DOI10.1016/j.cam.2007.04.033zbMath1143.65086OpenAlexW2035648741MaRDI QIDQ930698

Antti Hannukainen, Sergey Korotov, Dmitri Kuzmin

Publication date: 1 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2007.04.033

zbMATH Keywords

finite elementsadaptivityfinite differencesa posteriori error estimationconvection-reaction-diffusion equation

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (3)

The comparison between the DRBEM and DQM solution of nonlinear reaction-diffusion equation ⋮ Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems ⋮ Global a posteriori error estimates for convection-reaction-diffusion problems

Cites Work

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• A posteriori error estimation for the Poisson equation with mixed Dirichlet/Neumann boundary conditions.
• A numerical study of a posteriori error estimators for convection-diffusion equations
• A posteriori error estimates for general numerical methods for scalar conservation laws
• Adaptive Streamline Diffusion Finite Element Methods for Stationary Convection-Diffusion Problems
• Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws
• Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations

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