Optimal Biquadratic Finite Volume Element Methods on Quadrilateral Meshes

Junliang Lv; Yonghai Li

doi:10.1137/100805881

Optimal Biquadratic Finite Volume Element Methods on Quadrilateral Meshes

SIAM Journal on Numerical Analysis ◽

10.1137/100805881 ◽

2012 ◽

Vol 50 (5) ◽

pp. 2379-2399 ◽

Cited By ~ 18

Author(s):

Junliang Lv ◽

Yonghai Li

Keyword(s):

Finite Volume ◽

Volume Element ◽

Quadrilateral Meshes ◽

Finite Volume Element

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A finite volume element scheme with a monotonicity correction for anisotropic diffusion problems on general quadrilateral meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2019.109143 ◽

2020 ◽

Vol 407 ◽

pp. 109143

Author(s):

Yanni Gao ◽

Guangwei Yuan ◽

Shuai Wang ◽

Xudeng Hang

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Volume Element ◽

Element Scheme ◽

Quadrilateral Meshes ◽

Finite Volume Element ◽

Diffusion Problems

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A second-order finite volume element method on quadrilateral meshes for elliptic equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2007002 ◽

2006 ◽

Vol 40 (6) ◽

pp. 1053-1067 ◽

Cited By ~ 20

Author(s):

Min Yang

Keyword(s):

Finite Volume ◽

Elliptic Equations ◽

Second Order ◽

Volume Element ◽

Finite Volume Element Method ◽

Quadrilateral Meshes ◽

Finite Volume Element ◽

Element Method

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

Advances in Computational Mathematics ◽

10.1007/s10444-009-9121-z ◽

2009 ◽

Vol 33 (2) ◽

pp. 129-148 ◽

Cited By ~ 29

Author(s):

Junliang Lv ◽

Yonghai Li

Keyword(s):

Error Estimate ◽

Finite Volume ◽

Volume Element ◽

Quadrilateral Meshes ◽

Finite Volume Element

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A quadratic finite volume element method for parabolic problems on quadrilateral meshes

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drp054 ◽

2010 ◽

Vol 31 (3) ◽

pp. 1038-1061 ◽

Cited By ~ 10

Author(s):

M. Yang ◽

J. Liu

Keyword(s):

Finite Volume ◽

Volume Element ◽

Parabolic Problems ◽

Finite Volume Element Method ◽

Quadrilateral Meshes ◽

Finite Volume Element ◽

Element Method

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An upwind finite volume element method based on quadrilateral meshes for nonlinear convection-diffusion problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20387 ◽

2009 ◽

Vol 25 (5) ◽

pp. 1067-1085 ◽

Cited By ~ 6

Author(s):

Fu-Zheng Gao ◽

Yi-Rang Yuan

Keyword(s):

Finite Volume ◽

Volume Element ◽

Finite Volume Element Method ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Quadrilateral Meshes ◽

Finite Volume Element ◽

Diffusion Problems ◽

Element Method

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Interior Estimates of Finite Volume Element Methods Over Quadrilateral Meshes for Elliptic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/18m1197746 ◽

2019 ◽

Vol 57 (5) ◽

pp. 2246-2265 ◽

Cited By ~ 1

Author(s):

Li Guo ◽

Hengguang Li ◽

Qingsong Zou

Keyword(s):

Finite Volume ◽

Elliptic Equations ◽

Volume Element ◽

Quadrilateral Meshes ◽

Interior Estimates ◽

Finite Volume Element

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

Advances in Computational Mathematics ◽

10.1007/s10444-011-9215-2 ◽

2011 ◽

Vol 37 (3) ◽

pp. 393-416 ◽

Cited By ~ 15

Author(s):

Junliang Lv ◽

Yonghai Li

Keyword(s):

Error Estimates ◽

Finite Volume ◽

Volume Element ◽

Quadrilateral Meshes ◽

Finite Volume Element

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THE GRADIENT RECOVERY FOR FINITE VOLUME ELEMENT METHOD ON QUADRILATERAL MESHES

Journal of the Korean Mathematical Society ◽

10.4134/jkms.j150547 ◽

2016 ◽

Vol 53 (6) ◽

pp. 1411-1429

Author(s):

Yingwei Song ◽

Tie Zhang

Keyword(s):

Finite Volume ◽

Volume Element ◽

Gradient Recovery ◽

Finite Volume Element Method ◽

Quadrilateral Meshes ◽

Finite Volume Element ◽

Element Method

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Bilinear immersed finite volume element method for solving matrix coefficient elliptic interface problems with non-homogeneous jump conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.12.016 ◽

2021 ◽

Vol 86 ◽

pp. 1-15

Author(s):

Quanxiang Wang ◽

Jianqiang Xie ◽

Zhiyue Zhang ◽

Liqun Wang

Keyword(s):

Finite Volume ◽

Volume Element ◽

Interface Problems ◽

Matrix Coefficient ◽

Jump Conditions ◽

Finite Volume Element Method ◽

Elliptic Interface Problems ◽

Finite Volume Element ◽

Element Method

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New finite volume element methods in the ALE framework for time-dependent convection–diffusion problems in moving domains

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113537 ◽

2021 ◽

pp. 113537

Author(s):

Yulong Gao ◽

Yonghai Li ◽

Guangwei Yuan ◽

Zhiqiang Sheng

Keyword(s):

Finite Volume ◽

Volume Element ◽

Time Dependent ◽

Convection Diffusion ◽

Moving Domains ◽

Finite Volume Element ◽

Diffusion Problems

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