The Upwind Finite Volume Element Method for Two-Dimensional Burgers Equation

Qing Yang

Abstract and Applied Analysis, 2013, vol. 2013, 1-11

Abstract:

A finite volume element method for approximating the solution to two-dimensional Burgers equation is presented. Upwind technique is applied to handle the nonlinear convection term. We present the semi-discrete scheme and fully discrete scheme, respectively. We show that the schemes are convergent to order one in space in -norm. Numerical experiment is presented finally to validate the theoretical analysis.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:351619

DOI: 10.1155/2013/351619

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