| In this paper,we first focus on the anisotropic finite elements and construct a Hermite rectangular finite element which can be applied in 2nd order elliptic problem.lt is proved that this finite element has anisotropic property and its error estimate is obtained without the limitation of regularity conditions.The anisotropic property of the Generalized Difference Methods has not been studied until now.In this paper,the anisotropic property of a kind of Generalized Difference Methods is analy-sized and its error estimate is obtained without the limitation of regularity.Finally,the numerical examples show that the theoretic analysis is right.In addition,based on the 2-dimensional quasi-Wilson element,the quasi-Wilson element in the 3-dimensional space with application to second-order porblem is presented.lt is proved that it is convergent for arbitrary hexahedron regular subdivision in 3-dimensional space ,and its error estimate is obtained. |
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