Recovery of normal derivatives from the piecewise \(L^2\) projection

DOI10.1016/j.jcp.2011.10.001zbMath1408.65009OpenAlexW1964303680MaRDI QIDQ422942

Yunqing Huang, Hai-liang Liu, Nian-Yu Yi

Publication date: 18 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.10.001

zbMATH Keywords

recoverynumerical flux\(L^2\) projectionDDG methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical differentiation (65D25)

Related Items (13)

Positivity-preserving third order DG schemes for Poisson-Nernst-Planck equations ⋮ Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations ⋮ Recovery type a posteriori error estimation of an adaptive finite element method for Cahn-Hilliard equation ⋮ Function, derivative and high-order derivatives recovery methods using the local symmetry projection ⋮ A SCR-based error estimation and adaptive finite element method for the Allen-Cahn equation ⋮ Error Estimates for the Iterative Discontinuous Galerkin Method to the Nonlinear Poisson-Boltzmann Equation ⋮ Superconvergent recovery of edge finite element approximation for Maxwell's equations ⋮ Analysis of direct discontinuous Galerkin methods for multi-dimensional convection-diffusion equations ⋮ Superconvergence analysis for the explicit polynomial recovery method ⋮ A new approach for admissibility analysis of the direct discontinuous Galerkin method through Hilbert matrices ⋮ Superconvergent recovery of rectangular edge finite element approximation by local symmetry projection ⋮ Recovery type a posteriori error estimation of adaptive finite element method for Allen-Cahn equation ⋮ Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations

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