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.
"The Upwind Finite Volume Element Method for Two-Dimensional Burgers Equation." Abstr. Appl. Anal. 2013 (SI36) 1 - 11, 2013. https://doi.org/10.1155/2013/351619