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):

Augmented high order finite volume element method for elliptic PDEs in non-smooth domains: Convergence study

Yasunori Aoki and Hans De Sterck
Journal of Computational and Applied Mathematics 235 (17) 5177 (2011)
DOI: 10.1016/j.cam.2011.05.004
See this article

Biquadratic finite volume element method based on optimal stress points for second order hyperbolic equations

Changhua Yu and Yonghai Li
Numerical Methods for Partial Differential Equations 29 (3) 738 (2013)
DOI: 10.1002/num.21724
See this article

$L^2$ Error Estimates for a Class of Any Order Finite Volume Schemes Over Quadrilateral Meshes

Yanping Lin, Min Yang and Qingsong Zou
SIAM Journal on Numerical Analysis 53 (4) 2030 (2015)
DOI: 10.1137/140963121
See this article

Postprocessing of a finite volume element method for semilinear parabolic problems

Min Yang, Chunjia Bi and Jiangguo Liu
ESAIM: Mathematical Modelling and Numerical Analysis 43 (5) 957 (2009)
DOI: 10.1051/m2an/2009017
See this article

Higher-order finite volume element methods based on Barlow points for one-dimensional elliptic and parabolic problems

Min Yang
Numerical Methods for Partial Differential Equations 31 (4) 977 (2015)
DOI: 10.1002/num.21924
See this article

$L^2$ Error Estimates for High Order Finite Volume Methods on Triangular Meshes

Xiang Wang and Yonghai Li
SIAM Journal on Numerical Analysis 54 (5) 2729 (2016)
DOI: 10.1137/140988486
See this article

Finite volume element method with Lagrangian cubic functions

Yuqiong Ding and Yonghai Li
Journal of Systems Science and Complexity 24 (5) 991 (2011)
DOI: 10.1007/s11424-011-9113-1
See this article

Error estimation of a quadratic finite volume method on right quadrangular prism grids

Min Yang, Jiangguo Liu and Chuanjun Chen
Journal of Computational and Applied Mathematics 229 (1) 274 (2009)
DOI: 10.1016/j.cam.2008.10.036
See this article

L 2 error estimates and superconvergence of the finite volume element methods on quadrilateral meshes

Junliang Lv and Yonghai Li
Advances in Computational Mathematics 37 (3) 393 (2012)
DOI: 10.1007/s10444-011-9215-2
See this article

Cubic superconvergent finite volume element method for one-dimensional elliptic and parabolic equations

Guanghua Gao and Tongke Wang
Journal of Computational and Applied Mathematics 233 (9) 2285 (2010)
DOI: 10.1016/j.cam.2009.10.013
See this article

P 1-Nonconforming Quadrilateral Finite Volume Methods for the Semilinear Elliptic Equations

Xinlong Feng, Rongfei Li, Yinnian He and Demin Liu
Journal of Scientific Computing 52 (3) 519 (2012)
DOI: 10.1007/s10915-011-9557-4
See this article

A posteriori error analysis of nonconforming finite volume elements for general second-order elliptic PDEs

Min Yang
Numerical Methods for Partial Differential Equations 27 (2) 277 (2011)
DOI: 10.1002/num.20520
See this article

Superconvergent biquadratic finite volume element method for two-dimensional Poisson’s equations

Tongke Wang and Yuesheng Gu
Journal of Computational and Applied Mathematics 234 (2) 447 (2010)
DOI: 10.1016/j.cam.2009.12.036
See this article

Optimal Bicubic Finite Volume Methods on Quadrilateral Meshes

Yanli Chen and Yonghai Li
Advances in Applied Mathematics and Mechanics 7 (4) 454 (2015)
DOI: 10.4208/aamm.2013.m401
See this article

High order locally conservative finite element solutions for anisotropic diffusion problems in two dimensions

Yanhui Zhou and Jiming Wu
Computers & Mathematics with Applications 92 1 (2021)
DOI: 10.1016/j.camwa.2021.03.022
See this article

Optimal Biquadratic Finite Volume Element Methods on Quadrilateral Meshes

Junliang Lv and Yonghai Li
SIAM Journal on Numerical Analysis 50 (5) 2379 (2012)
DOI: 10.1137/100805881
See this article

Superconvergence of quadratic finite volume method on triangular meshes

Xiang Wang and Yonghai Li
Journal of Computational and Applied Mathematics 348 181 (2019)
DOI: 10.1016/j.cam.2018.08.025
See this article

L 2 error estimate of the finite volume element methods on quadrilateral meshes

Junliang Lv and Yonghai Li
Advances in Computational Mathematics 33 (2) 129 (2010)
DOI: 10.1007/s10444-009-9121-z
See this article

The hybrid Wilson finite volume method for elliptic problems on quadrilateral meshes

Yuanyuan Zhang, Min Yang and Chuanjun Chen
Advances in Computational Mathematics 45 (1) 429 (2019)
DOI: 10.1007/s10444-018-9623-7
See this article

A unified analysis of a class of quadratic finite volume element schemes on triangular meshes

Yanhui Zhou and Jiming Wu
Advances in Computational Mathematics 46 (5) (2020)
DOI: 10.1007/s10444-020-09809-8
See this article

A Finite Volume Method Based on the Constrained Nonconforming Rotated Q1-Constant Element for the Stokes Problem

Jing Qi, Wanfu Tian and Yonghai Li
Advances in Applied Mathematics and Mechanics 4 (1) 46 (2012)
DOI: 10.4208/aamm.11-m1156
See this article

A family of quadratic finite volume element schemes for anisotropic diffusion problems on triangular meshes

Yanhui Zhou and Jiming Wu
Journal of Computational and Applied Mathematics 402 113794 (2022)
DOI: 10.1016/j.cam.2021.113794
See this article