Superconvergence Analysis of Cubic Block Finite Elements of Intermediate Families

作者：Liu Jinghong^*

来源：Journal of Computational Analysis and Applications, 2012, 14(1): 173-180.

• cubic block finite elements of intermediate families
• interpolant of projection type
• superconvergence
• weak estimate
• discrete Green's function

For the Poisson equation in three dimensions, using the properties of the interpolation operator of projection type, we derive weak estimates for cubic block finite elements of intermediate families (CBFEIF). In addition, estimates for the discrete Green's functions are given. Finally, we prove that derivatives and function values of the finite element approximation and the corresponding interpolant of projection type are superclose in the pointwise sense of the L-infinity-norm.

• 出版日期2012-1
• 单位浙江大学宁波理工学院; 浙江大学