一阶椭圆型复方程间断边值问题的有限元解法

Finite Element Solutions to Discontinuous Boundary Value Problems for Elliptic Complex Equations of First Order

讨论了一阶线性椭圆型复方程一般间断边值问题的一种数值方法。为此,先给出一般间断边值问题的适定性,简化该问题为一个变分问题,然后用有限元法求该问题的数值解,最后给出上述数值解的某些误差估计。

In this paper,we discuss the numerical methods of general discontinuous boundary value problems for linear elliptic complex equation of first order. We first give the well posedness of general discontinuous boundary value problems ,reduce the discontinuous boundary value problems to a variation problem,and then find the numerical solutions to the problem by the finite element method. Finally, we give some error estimates of the foregoing numerical solutions.