The upwind finite volume element method based on straight triangular prism partition for nonlinear convection-diffusion problem

摘要

The upwind finite volume element method based on straight triangular prism partition is put forward for the nonlinear convection-diffusion problems. Some techniques, such as calculus of variations, commutating operator and prior estimates, are adopted. Optimal order error estimate in L2 is derived to determine the error in approximate solution. Numerical experiment shows that the method is effective for avoiding numerical diffusion and nonphysical oscillations and reducing work time.