Finite volume element method for the incompressible miscible displacement problems in porous media

PAMM ◽

10.1002/pamm.200700090 ◽

2007 ◽

Vol 7 (1) ◽

pp. 2020015-2020016 ◽

Author(s):

Sarvesh Kumar ◽

Neela Nataraj ◽

Amiya K. Pani

Keyword(s):

Porous Media ◽

Finite Volume ◽

Miscible Displacement ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

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An approximation of incompressible miscible displacement in porous media by mixed finite elements and symmetric finite volume element method of characteristics

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21737 ◽

2012 ◽

Vol 29 (3) ◽

pp. 897-915 ◽

Author(s):

Zhe Yin ◽

Hongxing Rui ◽

Qiang Xu

Keyword(s):

Porous Media ◽

Finite Elements ◽

Finite Volume ◽

Method Of Characteristics ◽

Mixed Finite Elements ◽

Miscible Displacement ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

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A mixed and discontinuous Galerkin finite volume element method for incompressible miscible displacement problems in porous media

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20684 ◽

2011 ◽

Vol 28 (4) ◽

pp. 1354-1381 ◽

Author(s):

Sarvesh Kumar

Keyword(s):

Porous Media ◽

Discontinuous Galerkin ◽

Finite Volume ◽

Miscible Displacement ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

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Discontinuous finite volume element method for Darcy flows in fractured porous media

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113025 ◽

2021 ◽

Vol 381 ◽

pp. 113025

Author(s):

Rui Li ◽

Yongchao Zhang ◽

Jianhua Wu ◽

Zhangxin Chen

Keyword(s):

Porous Media ◽

Finite Volume ◽

Volume Element ◽

Fractured Porous Media ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Darcy Flows ◽

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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 ◽

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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 ◽

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 ◽

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 ◽

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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 ◽

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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 ◽

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 ◽

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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 ◽

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A stabilized finite volume element method for solving Poisson‐Nernst‐Planck equations

International Journal for Numerical Methods in Biomedical Engineering ◽

10.1002/cnm.3543 ◽

2021 ◽

Author(s):

Jiao Li ◽

Jinyong Ying

Keyword(s):

Finite Volume ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

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