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

الملخص EN

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 L2-norm.

Numerical experiment is presented finally to validate the theoretical analysis.