Uniform convergence of finite volume element method with Crouzeix–Raviart element for non-self-adjoint and indefinite elliptic problems

Chunjia Bi; Hongxing Rui

doi:10.1016/j.cam.2006.01.012

Uniform convergence of finite volume element method with Crouzeix–Raviart element for non-self-adjoint and indefinite elliptic problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.01.012 ◽

2007 ◽

Vol 200 (2) ◽

pp. 555-565 ◽

Cited By ~ 4

Author(s):

Chunjia Bi ◽

Hongxing Rui

Keyword(s):

Uniform Convergence ◽

Finite Volume ◽

Elliptic Problems ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Element Method

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Finite volume element method for monotone nonlinear elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21747 ◽

2012 ◽

Vol 29 (4) ◽

pp. 1097-1120 ◽

Cited By ~ 5

Author(s):

Chunjia Bi ◽

Yanping Lin ◽

Min Yang

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Volume Element ◽

Nonlinear Elliptic Problems ◽

Finite Volume Element Method ◽

Nonlinear Elliptic ◽

Finite Volume Element ◽

Element Method

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A discontinuous finite volume element method for second-order elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20626 ◽

2010 ◽

Vol 28 (2) ◽

pp. 425-440 ◽

Cited By ~ 17

Author(s):

Chunjia Bi ◽

Mingming Liu

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Second Order ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Second Order Elliptic Problems ◽

Element Method

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Two-grid finite volume element method for linear and nonlinear elliptic problems

Numerische Mathematik ◽

10.1007/s00211-007-0115-9 ◽

2007 ◽

Vol 108 (2) ◽

pp. 177-198 ◽

Cited By ~ 55

Author(s):

Chunjia Bi ◽

Victor Ginting

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Volume Element ◽

Nonlinear Elliptic Problems ◽

Finite Volume Element Method ◽

Nonlinear Elliptic ◽

Finite Volume Element ◽

Linear And Nonlinear ◽

Element Method

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Superconvergence of finite volume element method for elliptic problems

Advances in Computational Mathematics ◽

10.1007/s10444-013-9313-4 ◽

2013 ◽

Vol 40 (2) ◽

pp. 399-413 ◽

Cited By ~ 7

Author(s):

Tie Zhang

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Element Method

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On the Finite Volume Element Method for General Self-Adjoint Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142994264699 ◽

1998 ◽

Vol 35 (5) ◽

pp. 1762-1774 ◽

Cited By ~ 83

Author(s):

Huang Jianguo ◽

Xi Shitong

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Element Method

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Finite-volume-element method for second-order quasilinear elliptic problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drq011 ◽

2010 ◽

Vol 31 (3) ◽

pp. 1062-1089 ◽

Cited By ~ 6

Author(s):

C. Bi ◽

V. Ginting

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Second Order ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic ◽

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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