Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Superconvergence of local discontinuous Galerkin methods with generalized alternating fluxes for 1D linear convection-diffusion equations

Xiaobin Liu, Dazhi Zhang, Xiong Meng and Boying Wu
Science China Mathematics (2020)
DOI: 10.1007/s11425-019-1627-7
See this article

Superconvergence Analysis of the Runge–Kutta Discontinuous Galerkin Methods for a Linear Hyperbolic Equation

Yuan Xu, Xiong Meng, Chi-Wang Shu and Qiang Zhang
Journal of Scientific Computing 84 (1) (2020)
DOI: 10.1007/s10915-020-01274-1
See this article

Superconvergence of the local discontinuous Galerkin method for nonlinear convection-diffusion problems

Hui Bi and Chengeng Qian
Journal of Inequalities and Applications 2017 (1) (2017)
DOI: 10.1186/s13660-017-1489-6
See this article

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

Yong Liu, Qi Tao and Chi-Wang Shu
ESAIM: Mathematical Modelling and Numerical Analysis 54 (6) 1797 (2020)
DOI: 10.1051/m2an/2020023
See this article

Ultraconvergence of the derivative of high‐order finite element method for elliptic problems with constant coefficients

Wenming He
Numerical Methods for Partial Differential Equations 36 (1) 173 (2020)
DOI: 10.1002/num.22424
See this article

Superconvergence of Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives

Waixiang Cao and Qiumei Huang
Journal of Scientific Computing 72 (2) 761 (2017)
DOI: 10.1007/s10915-017-0377-z
See this article

Some Recent Developments in Superconvergence of Discontinuous Galerkin Methods for Time-Dependent Partial Differential Equations

Waixiang Cao and Zhimin Zhang
Journal of Scientific Computing 77 (3) 1402 (2018)
DOI: 10.1007/s10915-018-0762-2
See this article

Analysis of Discontinuous Galerkin Methods with Upwind-Biased Fluxes for One Dimensional Linear Hyperbolic Equations with Degenerate Variable Coefficients

Jia Li, Dazhi Zhang, Xiong Meng and Boying Wu
Journal of Scientific Computing 78 (3) 1305 (2019)
DOI: 10.1007/s10915-018-0831-6
See this article

Superconvergence and the Numerical Flux: a Study Using the Upwind-Biased Flux in Discontinuous Galerkin Methods

Daniel J. Frean and Jennifer K. Ryan
Communications on Applied Mathematics and Computation 2 (3) 461 (2020)
DOI: 10.1007/s42967-019-00049-2
See this article

Discontinuous Galerkin Methods for Nonlinear Scalar Conservation Laws: Generalized Local Lax--Friedrichs Numerical Fluxes

Jia Li, Dazhi Zhang, Xiong Meng, Boying Wu and Qiang Zhang
SIAM Journal on Numerical Analysis 58 (1) 1 (2020)
DOI: 10.1137/19M1243798
See this article

Superconvergence of Ultra-Weak Discontinuous Galerkin Methods for the Linear Schrödinger Equation in One Dimension

Anqi Chen, Yingda Cheng, Yong Liu and Mengping Zhang
Journal of Scientific Computing 82 (1) (2020)
DOI: 10.1007/s10915-020-01124-0
See this article

Superconvergence analysis of local discontinuous Galerkin methods for linear convection–diffusion equations in one space dimension

Jun Zhang and Xiangling Chen
Computational and Applied Mathematics 38 (1) (2019)
DOI: 10.1007/s40314-019-0777-9
See this article

Superconvergence of Energy-Conserving Discontinuous Galerkin Methods for Linear Hyperbolic Equations

Yong Liu, Chi-Wang Shu and Mengping Zhang
Communications on Applied Mathematics and Computation 1 (1) 101 (2019)
DOI: 10.1007/s42967-019-0006-y
See this article

Optimal Error Estimates of the Discontinuous Galerkin Method with Upwind-Biased Fluxes for 2D Linear Variable Coefficients Hyperbolic Equations

Minghui Liu, Boying Wu and Xiong Meng
Journal of Scientific Computing 83 (1) (2020)
DOI: 10.1007/s10915-020-01197-x
See this article

Local ultraconvergence of high order finite element method by interpolation postprocessing technique for elliptic problems with constant coefficients

Wenming He, Xiong Liu and Jin Xiao
Computers & Mathematics with Applications 79 (9) 2492 (2020)
DOI: 10.1016/j.camwa.2019.11.016
See this article