带权插值及其在有限元高精度理论中的应用

The Weighted Interpolation and it's Application in High Accvracy of Fem

得到了变系数椭圆边值问题的超收敛估计

In this paper,We consider a kind of vaviable coefficients elliptic equations with Direchlet boundary condition. With the definition of a special kind of weighted inner product and interpolated finite elements”, We improve the global convergence from m to m+2 order for gradient when m ≥2 easily, under the general rectangular meshes.