Qin Xinqiang1,Ma Yichen1Zhang Yin2
(1.School of Sciences,Xi'an Jiaotong University,Xi'an 710049,China;2. School ofSciences, Xi,an University of Technology,Xi'an 710048,China)
Abstract:For one dimensional nonlinear convection diffusion equation,a two-grid method of characteristic finite-element solution is constructed,where the nonlinear iteration is only executed on the coarse grid,then the fine-grid solution can be obtained via a single linear step. For the nonlinear convection-dominated diffusion equation,the method can stabilize the numerical oscillation,accelerate the convergence and improve the computational efficiency.The error analysis demonstrates that if the mesh size of coarse-grid equal to the square root of fine-grid£¬the two-grid solution of the characteristic finite-element and the iteration solution of characteristic finite-element have the same order of accuracy£®
Keywords:convection-diffusion equation;characteristic finite-element;two-grid method; convergence