THE GRADIENT RECOVERY FOR FINITE VOLUME ELEMENT METHOD ON QUADRILATERAL MESHES

Yingwei Song; Tie Zhang

doi:10.4134/jkms.j150547

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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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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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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Superconvergence and gradient recovery for a finite volume element method for solving convection-diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21862 ◽

2014 ◽

Vol 30 (4) ◽

pp. 1152-1168 ◽

Cited By ~ 2

Author(s):

Tie Zhang ◽

Ying Sheng

Keyword(s):

Finite Volume ◽

Volume Element ◽

Diffusion Equations ◽

Gradient Recovery ◽

Finite Volume Element Method ◽

Convection Diffusion ◽

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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On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900368873 ◽

2002 ◽

Vol 39 (6) ◽

pp. 1865-1888 ◽

Cited By ~ 185

Author(s):

Richard E. Ewing ◽

Tao Lin ◽

Yanping Lin

Keyword(s):

Finite Volume ◽

Piecewise Linear ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Element Method ◽

Linear Polynomials

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An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem

American Journal of Computational Mathematics ◽

10.4236/ajcm.2011.14032 ◽

2011 ◽

Vol 01 (04) ◽

pp. 264-270 ◽

Cited By ~ 3

Author(s):

Fuzheng Gao ◽

Yirang Yuan ◽

Ning Du

Keyword(s):

Finite Volume ◽

Diffusion Problem ◽

Volume Element ◽

Finite Volume Element Method ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Finite Volume Element ◽

Element Method

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An explicit characteristic finite volume element method for non-divergence free convection–diffusion-reaction equation

International Journal of Advances in Engineering Sciences and Applied Mathematics ◽

10.1007/s12572-012-0071-1 ◽

2012 ◽

Vol 4 (3) ◽

pp. 179-192

Author(s):

S. Phongthanapanich ◽

P. Dechaumphai

Keyword(s):

Free Convection ◽

Finite Volume ◽

Volume Element ◽

Diffusion Reaction ◽

Reaction Equation ◽

Finite Volume Element Method ◽

Convection Diffusion ◽

Finite Volume Element ◽

Divergence Free ◽

Element Method

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Analysis of a finite volume element method for a degenerate parabolic equation in the zero-coupon bond pricing

Computational and Applied Mathematics ◽

10.1007/s40314-014-0128-9 ◽

2014 ◽

Vol 34 (2) ◽

pp. 619-646 ◽

Cited By ~ 2

Author(s):

T. Chernogorova ◽

R. Valkov

Keyword(s):

Parabolic Equation ◽

Finite Volume ◽

Degenerate Parabolic Equation ◽

Volume Element ◽

Bond Pricing ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Degenerate Parabolic ◽

Coupon Bond ◽

Element Method

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The finite volume-element method (FVE) for planar cavity flow

11th International Conference on Numerical Methods in Fluid Dynamics - Lecture Notes in Physics ◽

10.1007/3-540-51048-6_58 ◽

2008 ◽

pp. 374-378

Author(s):

C. Liu ◽

S. McCormick

Keyword(s):

Finite Volume ◽

Cavity Flow ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Element Method

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