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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New immersed finite volume element method for elliptic interface problems with non-homogeneous jump conditions

Journal of Computational Physics ◽

10.1016/j.jcp.2020.110075 ◽

2021 ◽

Vol 427 ◽

pp. 110075

Author(s):

Quanxiang Wang ◽

Zhiyue Zhang ◽

Liqun Wang

Keyword(s):

Finite Volume ◽

Volume Element ◽

Interface Problems ◽

Jump Conditions ◽

Finite Volume Element Method ◽

Elliptic Interface Problems ◽

Finite Volume Element ◽

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A stabilized immersed finite volume element method for elliptic interface problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.03.010 ◽

2019 ◽

Vol 143 ◽

pp. 75-87 ◽

Author(s):

Quanxiang Wang ◽

Zhiyue Zhang

Keyword(s):

Finite Volume ◽

Volume Element ◽

Interface Problems ◽

Finite Volume Element Method ◽

Elliptic Interface Problems ◽

Finite Volume Element ◽

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Discontinuous Galerkin immerse finite volume element method for elliptic interface problems

2014 4th IEEE International Conference on Information Science and Technology ◽

10.1109/icist.2014.6920344 ◽

2014 ◽

Author(s):

Zhongyan Liu ◽

Huanzhen Chen

Keyword(s):

Discontinuous Galerkin ◽

Finite Volume ◽

Volume Element ◽

Interface Problems ◽

Finite Volume Element Method ◽

Elliptic Interface Problems ◽

Finite Volume Element ◽

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An immersed finite volume element method for 2D PDEs with discontinuous coefficients and non-homogeneous jump conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.04.012 ◽

2015 ◽

Vol 70 (2) ◽

pp. 89-103 ◽

Author(s):

Ling Zhu ◽

Zhiyue Zhang ◽

Zhilin Li

Keyword(s):

Finite Volume ◽

Discontinuous Coefficients ◽

Volume Element ◽

Jump Conditions ◽

Finite Volume Element Method ◽

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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