FINITE ELEMENT ANALYSIS FOR SOME NONLINEAR REACTION - DIFFUSION SYSTEMS
一类非线性反应扩散方程组的有限元分析

This paper is concerned with the finite element scheme and the alternating direction finite element scheme for some nonlinear reaction - diffusion systems with the second or the third boundary value conditions. Not only the existence and uniqueness of solutions for these approximational schemes are obtained, but also the optimal H~(1) - norm and L~(2)- norm error estimate results are demonstrated.