一类奇异半线性抛物方程半离散解的加权L_2模误差估计  

Weighted L_2 Error Estimation for Semidiscrete Solution of a Class of Semilinear Parabolic Problems with Singularities

作　　者：韩玉桃[1] 

机构地区：[1]天津商业大学理学院,天津300134

出　　处：《天津商学院学报》2007年第6期32-34,共3页Journal of Tianjin University of Commerce

摘　　要：具有奇异系数的椭圆及抛物偏微分方程是一类很重要的方程,但是求出其精确解是很困难的。本文考虑一类奇异半线性抛物方程初、边值问题的有限元方法,给出了半离散解的加权L2范数的误差估计。The partial differential equations with singular coefficients are very important in the field of mathematics, however, the exact solution of these equations are very difficult to attain. In this paper, a class of semilinear parabolic problems with singularities is considered. Results of the weighted L2 norm estimation with solution are obtained.

关 键 词：奇异半线性 抛物方程 半离散 加权模 

分 类 号：O242.21[理学—计算数学]