各向异性网格下具有数值积分的非协调有限元逼近

数学季刊 ›› 2006, Vol. 21 ›› Issue (4): 557-560.

各向异性网格下具有数值积分的非协调有限元逼近

1. Department of Mathematics,North China University of Water Conservancy and Hydroelectric Power 2. Department of Mathematics,Zhengzhou University

收稿日期:2005-03-06 出版日期:2006-12-30 发布日期:2023-11-21
作者简介:YANG Qiao(1955-),male,native of Zhengzhou,Henan,an associate professor of North China University of Water Conservancy and Hydroelectric Power,engages in applied diferential equations.
基金资助:
Supported by NNSF of China(10371113)； Supported by Foundation of Overseas Scholar of Chin&((2001)119)； Supported by the project of Creative Engineering of Henan Province of China；

Nonconforming Finite Element Approximation on Anisotropic Meshes with Numerical Quadrature

1. Department of Mathematics,North China University of Water Conservancy and Hydroelectric Power 2. Department of Mathematics,Zhengzhou University

Received:2005-03-06 Online:2006-12-30 Published:2023-11-21
About author:YANG Qiao(1955-),male,native of Zhengzhou,Henan,an associate professor of North China University of Water Conservancy and Hydroelectric Power,engages in applied diferential equations.
Supported by:
Supported by NNSF of China(10371113)； Supported by Foundation of Overseas Scholar of Chin&((2001)119)； Supported by the project of Creative Engineering of Henan Province of China；

摘要/Abstract

摘要： In this paper we mainly discuss the nonconforming finite element method for second order elliptic boundary value problems on anisotropic meshes.By changing the discretization form(i.e.,by use of numerical quadrature in the procedure of computing the left load),we obtain the optimal estimate O(h),which is as same as in the traditional finite element analysis when the load f∈H¹(Ω)∩C⁰(Ω)which is weaker than the previous studies.The results obtained in this paper are also valid to the conforming triangular element and nonconforming Carey’s element.

关键词: , Crouzeix-Raviart type, nonconforming finite elernemt, anisotropic meshes, er- ror estimate

Abstract: In this paper we mainly discuss the nonconforming finite element method for second order elliptic boundary value problems on anisotropic meshes.By changing the discretization form(i.e.,by use of numerical quadrature in the procedure of computing the left load),we obtain the optimal estimate O(h),which is as same as in the traditional finite element analysis when the load f∈H¹(Ω)∩C⁰(Ω)which is weaker than the previous studies.The results obtained in this paper are also valid to the conforming triangular element and nonconforming Carey’s element.

Key words: , Crouzeix-Raviart type, nonconforming finite elernemt, anisotropic meshes, er- ror estimate

中图分类号:

O242.21

杨乔, 石东洋. 各向异性网格下具有数值积分的非协调有限元逼近[J]. 数学季刊, 2006, 21(4): 557-560.

YANG Qiao, SHI Dong-yang. Nonconforming Finite Element Approximation on Anisotropic Meshes with Numerical Quadrature [J]. Chinese Quarterly Journal of Mathematics, 2006, 21(4): 557-560.

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