Anisotropic Nonconforming Quadrilateral Finite Element Approximation to Second Order Elliptic Problems

被引：0

作者：

Shi, Dong-yang ^{[1
]}

Xu, Chao ^{[1
,2
]}

Chen, Jin-huan ^{[1
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Peoples R China

[2] Luoyang Inst Sci & Technol, Dept Math & Phys, Luoyang 471023, Peoples R China

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2013年 / 56卷 / 03期

基金：

高等学校博士学科点专项科研基金;

关键词：

Anisotropy; Nonconforming EQ(1)(rot) quadrilateral element; Optimal order error estimates; QUASI-WILSON ELEMENT; SUPERCONVERGENCE; MESHES; INTERPOLATION; EQUATIONS; CONVERGENCE; ACCURACY;

D O I：

10.1007/s10915-013-9690-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main aim of this paper is to study the nonconforming quadrilateral finite element approximation to second order elliptic problems on anisotropic meshes. The optimal order error estimates in broken energy norm and -norm are obtained, and three numerical experiments are carried out to confirm the theoretical results.

引用

页码：637 / 653

页数：17

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