Error estimates of finite volume element method for the pollution in groundwater flow

Zhiyue Zhang

doi:10.1002/num.20340

Error estimates of finite volume element method for the pollution in groundwater flow

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20340 ◽

2009 ◽

Vol 25 (2) ◽

pp. 259-274 ◽

Cited By ~ 20

Author(s):

Zhiyue Zhang

Keyword(s):

Groundwater Flow ◽

Error Estimates ◽

Finite Volume ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Element Method

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Some error estimates of finite volume element method for parabolic optimal control problems

Optimal Control Applications and Methods ◽

10.1002/oca.2059 ◽

2012 ◽

Vol 35 (2) ◽

pp. 145-165 ◽

Cited By ~ 9

Author(s):

Xianbing Luo ◽

Yanping Chen ◽

Yunqing Huang ◽

Tianliang Hou

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Finite Volume ◽

Optimal Control Problems ◽

Volume Element ◽

Control Problems ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Parabolic Optimal Control ◽

Element Method

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Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data

SIAM Journal on Numerical Analysis ◽

10.1137/040612099 ◽

2006 ◽

Vol 43 (6) ◽

pp. 2320-2343 ◽

Cited By ~ 22

Author(s):

Rajen K. Sinha ◽

Richard E. Ewing ◽

Raytcho D. Lazarov

Keyword(s):

Differential Equation ◽

Initial Data ◽

Error Estimates ◽

Finite Volume ◽

Volume Element ◽

Finite Volume Element Method ◽

Integro Differential Equation ◽

Finite Volume Element ◽

Nonsmooth Initial Data ◽

Element Method

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Error Estimates for a Finite Volume Element Method for Elliptic PDEs in Nonconvex Polygonal Domains

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142903427639 ◽

2005 ◽

Vol 42 (5) ◽

pp. 1932-1958 ◽

Cited By ~ 20

Author(s):

P. Chatzipantelidis ◽

R. D. Lazarov

Keyword(s):

Error Estimates ◽

Finite Volume ◽

Volume Element ◽

Elliptic Pdes ◽

Finite Volume Element Method ◽

Polygonal Domains ◽

Finite Volume Element ◽

Element Method

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Error estimates for a finite volume element method for parabolic equations in convex polygonal domains

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20006 ◽

2004 ◽

Vol 20 (5) ◽

pp. 650-674 ◽

Cited By ~ 68

Author(s):

P. Chatzipantelidis ◽

R. D. Lazarov ◽

V. Thomée

Keyword(s):

Error Estimates ◽

Finite Volume ◽

Parabolic Equations ◽

Volume Element ◽

Finite Volume Element Method ◽

Polygonal Domains ◽

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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