Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Anisotropic interpolation error estimates via orthogonal expansions

Mingxia LiShipeng Mao — 2013

Open Mathematics

We prove anisotropic interpolation error estimates for quadrilateral and hexahedral elements with all possible shape function spaces, which cover the intermediate families, tensor product families and serendipity families. Moreover, we show that the anisotropic interpolation error estimates hold for derivatives of any order. This goal is accomplished by investigating an interpolation defined via orthogonal expansions.

Some superconvergence results of high-degree finite element method for a second order elliptic equation with variable coefficients

Xiaofei GuanMingxia LiWenming HeZhengwu Jiang — 2014

Open Mathematics

In this paper, some superconvergence results of high-degree finite element method are obtained for solving a second order elliptic equation with variable coefficients on the inner locally symmetric mesh with respect to a point x 0 for triangular meshes. By using of the weak estimates and local symmetric technique, we obtain improved discretization errors of O(h p+1 |ln h|2) and O(h p+2 |ln h|2) when p (≥ 3) is odd and p (≥ 4) is even, respectively. Meanwhile, the results show that the combination...

Page 1

Download Results (CSV)