一类椭圆型方程修正有限元解的高阶渐近展开

THE ASYMPTOTIC EXPANSIONS OF A MODIFIED FINITE ELEMENT APPROXIMATIONS FOR A KIND OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

该文基于标准有限元的渐近展开，利用原方程的扰动，构造了一种非标准的有限元方法，并得到了解的整体高阶渐近展式，从而可以利用各种后处理技术．

In this paper,we consider a Dirichlet value problem of Poisson equation by a modified finite element method.Based on the standard finite element asymptoic expansions, we obtained a global high order asymptotic expansions.