摘要
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 H1 - norm and L2- norm error estimate results are demonstrated.
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.
出处
《计算数学》
CSCD
北大核心
2000年第1期103-112,共10页
Mathematica Numerica Sinica
基金
中国博士后科学基金
国家自然科学基金
关键词
反应扩散方程组
有限元逼近
最优误差估计
Reaction-diffusion system, Alternating direction, Finite element approximation, Optimal error estimate
