在M（Ω）给定下一类椭圆型方程的求解及其有限元数值分析

Resolution and Numerical Analysis of an Elliptic Equation with M(Ω)-Data

先研究当右端给定函数ｆ∈Ｍ（Ω）（特别而实用的，ｆ＝δ）时一类线性椭圆型方程解的存在性和唯一性，然后结合有限元方法进行相应的数值分析。通过构造适当的逼近函数列和测试函数，证明了数值（近似）解对于原解的收敛性，并获得了误差的估计式。

The article studies first the existence and uniqueness of solution for a linear eliiptic equation with M(Ω)-data,and then makes its numerical analysis by combiningthe finite element method.By the aid of introducing the sequence of approximate functionand the test function,it proves the convergence of numerical(approximate)solution,andobtalns the estimation of error.