An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem - American Journal of Computational Mathematics

AJCM > Vol.1 No.4, December 2011

American Journal of Computational Mathematics

Volume 1, Issue 4 (December 2011)

ISSN Print: 2161-1203 ISSN Online: 2161-1211

Google-based Impact Factor: 0.42 Citations

An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem ()

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Download as PDF (Size: 177KB) PP. 264-270

DOI: 10.4236/ajcm.2011.14032 4,836 Downloads 9,726 Views Citations

Author(s)

Fuzheng Gao, Yirang Yuan, Ning Du

Affiliation(s)

ABSTRACT

A class of upwind finite volume element method based on tetrahedron partition is put forward for a nonlinear convection diffusion problem. Some techniques, such as calculus of variations, commutating operators and the a priori estimate, are adopted. The a priori error estimate in L²-norm and H1-norm is derived to determine the error between the approximate solution and the true solution.

KEYWORDS

Nonlinear, Convection-Diffusion, Tetrahedron Partition, Error Estimates

Share and Cite:

Gao, F. , Yuan, Y. and Du, N. (2011) An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem. American Journal of Computational Mathematics, 1, 264-270. doi: 10.4236/ajcm.2011.14032.

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[2]	Finite Difference Method for Two-Sided Two Dimensional Space Fractional Convection-Diffusion Problem with Source Term
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[3]	An upwind finite volume method on non-orthogonal quadrilateral meshes for the convection diffusion equation in porous media
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