A New Scheme Of Nonconforming Element For Elliptic Problems

The order of convergence is usually1when Wilson element is used in solving two or-der elliptic problems. In this paper, a kind of new discrete variational form for second order elliptic problem is given, and theoretically we obtain an O(h2) convergence.What’s more,the new norm used in the finite element space is larger than the one used before.And the numerical experiment is compatible with theoretical analysis. For forth order ellip-tic problems,the new discrete variation form and norm is defined with the help of ACM element,and we can still get an O(h) convergence.