BIQUADRATIC ELEMENT FINITE VOLUME METHOD BASED ON OPTIMAL STRESS POINTS FOR SOLVING POISSON EQUATIONS
解Poisson方程的基于应力佳点的双二次元有限体积法

In this paper, a new kind of biquadratic finite volume element method based on optimal stress points is presented for solving poisson equations, choosing trial and test spaces as the biquadratic finite element space and the piecewise constant function space respectively. It is proved that the method has optimal H1 and L2 error estimates. It is also showed the superconvergence of numerical gradients at optimal stress points.Finally, the numerical experiments show the results of theoretical analysis.