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

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.