关键词: Elliptic complex equations, numerical solutions, boundary value problem

Abstract:

In this paper, authors discuss the numerical methods of general discontinuous boundary value problems for elliptic complex equations of first order. They 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 of above problem by the finite element method. Finally authors give some error-estimates of
the foregoing numerical solutions.

Key words: Elliptic complex equations, numerical solutions, boundary value problem