An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem

Gao, Fuzheng and Yuan, Yirang and Du, Ning (2011) An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem. American Journal of Computational Mathematics, 01 (04). pp. 264-270. ISSN 2161-1203

[thumbnail of AJCM20110400006_11721131.pdf] Text
AJCM20110400006_11721131.pdf - Published Version

Download (259kB)

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.

Item Type: Article
Subjects: Universal Eprints > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 27 Jun 2023 04:52
Last Modified: 05 Oct 2023 12:42
URI: http://journal.article2publish.com/id/eprint/2211

Actions (login required)

View Item
View Item