Conditioning of the finite volume element method for diffusion problems with general simplicial meshes

Xiang Wang; Weizhang Huang; Yonghai Li

doi:10.1090/mcom/3423

Conditioning of the finite volume element method for diffusion problems with general simplicial meshes

Mathematics of Computation ◽

10.1090/mcom/3423 ◽

2019 ◽

Vol 88 (320) ◽

pp. 2665-2696 ◽

Cited By ~ 2

Author(s):

Xiang Wang ◽

Weizhang Huang ◽

Yonghai Li

Keyword(s):

Finite Volume ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Diffusion Problems ◽

Element Method

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Mortar upwind finite volume element method for convection diffusion problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.06.031 ◽

2006 ◽

Vol 183 (2) ◽

pp. 831-841 ◽

Cited By ~ 1

Author(s):

Chunjia Bi

Keyword(s):

Finite Volume ◽

Volume Element ◽

Finite Volume Element Method ◽

Convection Diffusion ◽

Finite Volume Element ◽

Diffusion Problems ◽

Element Method

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The MMOC and MMOCAA schemes for the finite volume element method of convection–diffusion problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.09.006 ◽

2011 ◽

Vol 236 (6) ◽

pp. 1423-1434 ◽

Cited By ~ 2

Author(s):

Chuanjun Chen ◽

Wei Liu

Keyword(s):

Finite Volume ◽

Volume Element ◽

Finite Volume Element Method ◽

Convection Diffusion ◽

Finite Volume Element ◽

Diffusion Problems ◽

Element Method

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A new weighted upwind finite volume element method based on non-standard covolume for time-dependent convection-diffusion problems

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3830 ◽

2013 ◽

Vol 73 (11) ◽

pp. 953-975 ◽

Cited By ~ 2

Author(s):

Fuzheng Gao ◽

Dong Liang

Keyword(s):

Finite Volume ◽

Volume Element ◽

Time Dependent ◽

Finite Volume Element Method ◽

Convection Diffusion ◽

Finite Volume Element ◽

Diffusion Problems ◽

Element Method

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Finite volume element method and its stability analysis for analyzing the behavior of sub-diffusion problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.06.008 ◽

2016 ◽

Vol 290 ◽

pp. 224-239 ◽

Cited By ~ 1

Author(s):

K. Sayevand ◽

F. Arjang

Keyword(s):

Stability Analysis ◽

Finite Volume ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Diffusion Problems ◽

Element Method

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A Nonlinear Finite Volume Element Method Satisfying Maximum Principle for Anisotropic Diffusion Problems on Arbitrary Triangular Meshes

Communications in Computational Physics ◽

10.4208/cicp.oa-2017-0261 ◽

2019 ◽

Vol 26 (1) ◽

pp. 135-159

Author(s):

Yanni Gao

Keyword(s):

Maximum Principle ◽

Finite Volume ◽

Anisotropic Diffusion ◽

Volume Element ◽

Triangular Meshes ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Diffusion Problems ◽

Element Method

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Combined finite volume element method for singularly perturbed reaction–diffusion problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2008.10.047 ◽

2009 ◽

Vol 209 (2) ◽

pp. 177-185 ◽

Cited By ~ 8

Author(s):

Sutthisak Phongthanapanich ◽

Pramote Dechaumphai

Keyword(s):

Finite Volume ◽

Reaction Diffusion ◽

Volume Element ◽

Singularly Perturbed ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Diffusion Problems ◽

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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Finite volume element method for analysis of unsteady reaction–diffusion problems

Acta Mechanica Sinica ◽

10.1007/s10409-009-0237-7 ◽

2009 ◽

Vol 25 (4) ◽

pp. 481-489 ◽

Cited By ~ 4

Author(s):

Sutthisak Phongthanapanich ◽

Pramote Dechaumphai

Keyword(s):

Finite Volume ◽

Reaction Diffusion ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Diffusion Problems ◽

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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