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

Abstract: 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 L 2 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. [Copyright &y& Elsevier]