具有非平凡零空间的第二类Fredholm积分方程的有限元解

Finite Element Solutions of Frcdholm Integral Equations of Second Kind with Non-trivial Null Space

本文利用线性算子理论中的一些结果,讨论了具有非平凡零空间的第二类Frcdholm积分方程的数值解,给出了正则化解和有限元正则化解的表达式,并得到了近似解的误差估计。

By using some results in linear operator theory, we discuss the numerical solutions of Fredholm integral equations of second kind with non-trivial null space. The explicit formulae for the regularization solutions and finite element regularization solutions are obtiancd. The error estimates for the approximation solutions are also given.