J. Comp. Math., 3 (1985), pp. 315-319. The Interative Accelerative Method Of Finite Element Approximation For The System $u=sum u_j (partial u/partial x_j)+f$ Sheng-Jiang Cheng 11 Xian Jiaotong University, China Received 1984-7-27 Revised Online 2006-11-24 Abstract In this paper we use an iterative method to get an approximate solution $u^n$ and $\bar{u}^n$ which approximate the exact solution u with the error estimates $\|u-u^n\|+ch\|u-u^n\|_1+\|u-\bar{u}^n\|_1\leq ch^{n+2}$. Key words: