Abstract
The main aim of this paper is to develop a new low-order non-conforming mixed finite-element method to solve the second-order elliptic problems on rectangular meshes. The convergence analysis is presented and the optimal error estimates are derived with the lowest regularity of the exact solution. Numerical results which coincide with our theoretical analysis show that this element indeed has very good convergence behaviour.
Acknowledgements
This project is supported by the National Natural Science Foundation of China (No. 10671184;10971203).