摘要
研究可压缩核废料污染问题，考虑包含分子扩散和弥散的一般情形．从问题的原始数学模型出发，构造了特征线有限元全离散格式．对通常使用的构造误差方程的方法进行了改进，证明了格式的最佳L∞（J；H1（Ω））收敛性．
We’ll study the finite element method for compressible flow of contamination from nuclear waste in porous media, in which both of molecular diffusion and dispersion are considered. The mathematical model is a coupled quasilinear system of parabolic equa-tions about pressure, temperature, brine and radionuclide. Starting from the primitive model, finite element scheme based on the method of characteristics is established and analysed. Some new estimates about elliptic projection are given. A modified technique is proposed to establish the evolution inequlity for pressure error. The optimal error estimate in L∞(J; H1(Ω) ) is proved.
出处
《数学物理学报（A辑）》
CSCD
北大核心
1999年第3期278-285,共8页
Acta Mathematica Scientia
基金
国家自然科学基金
山东省自然科学基金
关键词
核废料污染问题
特征有限元方法
收敛性
Compressible flow of contamination from nuclear waste, FEM, Characteristics, Molecular diffusion and dispersion, Convergence
