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Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations

open access: yesSIAM Journal on Numerical Analysis, 2018
© 2018 Society for Industrial and Applied Mathematics. In this paper, we study the superconvergence behavior of the semi-discrete discontinuous Galerkin (DG) method for scalar nonlinear hyperbolic equations in one spatial dimension.
Chi-Wang Shu, Waixiang Cao, Zhimin Zhang
exaly   +2 more sources
Some of the next articles are maybe not open access.

Superconvergence of Mixed Finite Element Approximations over Quadrilaterals

SIAM Journal on Numerical Analysis, 1999
Richard E Ewing, Junping Wang
exaly  

Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals

SIAM Journal on Numerical Analysis, 2005
Markus Berndt   +2 more
exaly  

Superconvergence of finite volume methods for the Stokes equations

Numerical Methods for Partial Differential Equations, 2009
Xiu Ye, Ming Cui
exaly  

Superconvergence of the Velocity Along the Gauss Lines in Mixed Finite Element Methods

SIAM Journal on Numerical Analysis, 1991
Raytcho Dimitrov Lazarov, R E Ewing
exaly  

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