The optimal error estimate and superconvergence of the local discontinuous Galerkin methods for one-dimensional linear fifth order time dependent equations

DOI10.1016/j.camwa.2016.05.030zbMath1359.65194OpenAlexW2440585854MaRDI QIDQ520860

Yang Sun, Chengeng Qian, Hui Bi

Publication date: 6 April 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.05.030

zbMATH Keywords

superconvergenceerror estimatelocal discontinuous Galerkin method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (2)

High accuracy analysis of an \(H^1\)-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations ⋮ Optimal error estimates of the local discontinuous Galerkin methods based on generalized fluxes for 1D linear fifth order partial differential equations

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