一类奇异半线性抛物方程的非对称有限元方法

Non-symmetric FEM for Whole-discrete Solution of a Class of Semilinear Parabolic Equations with Singularities

具有奇异系数的抛物方程是一类很重要的方程,但是求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、边值问题的非对称有限元方法,给出了全离散解的加权L2模的误差估计。

The parabolic equations with singularities are very important in the field of mathematics, however, the exact solution of these equations are very difficult to attain. A class of semilinear parabolic equations with singularities is considered in the paper, and results of the weighted L2 norm error estimate with respect to the whole-discrete FEM solution are obtained.