Analysis of optimal superconvergence of an ultraweak-local discontinuous Galerkin method for a time dependent fourth-order equation

DOI10.1051/m2an/2020023zbMath1476.65242OpenAlexW3015356166MaRDI QIDQ4994002

Chi-Wang Shu, Qi Tao, Yong Liu

Publication date: 11 June 2021

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2020023

zbMATH Keywords

superconvergencefourth order derivativesultraweak-local discontinuous Galerkin methods

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) Boundary value problems for systems of linear higher-order PDEs (35G45)

Related Items (8)

Accuracy-enhancement of discontinuous Galerkin methods for PDEs containing high order spatial derivatives ⋮ Superconvergence Analysis of $C^m$ Finite Element Methods for Fourth-Order Elliptic Equations I: One Dimensional Case ⋮ A superconvergent ultra-weak discontinuous Galerkin method for nonlinear second-order two-point boundary-value problems ⋮ Superconvergence of an Ultra-Weak Discontinuous Galerkin Method for Nonlinear Second-Order Initial-Value Problems ⋮ Analysis of the Implicit-Explicit Ultra-Weak Discontinuous Galerkin Method for Convection-Diffusion Problems ⋮ A superconvergent ultra-weak local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems ⋮ Superconvergence analysis of the ultra-weak local discontinuous Galerkin method for one dimensional linear fifth order equations ⋮ An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic Conservation Laws

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