CONVERGENCE AND SUPERCONVERGENCE ANALYSIS OF LAGRANGE RECTANGULAR ELEMENTS WITH ANY ORDER ON ARBITRARY RECTANGULAR MESHES

	CONVERGENCE AND SUPERCONVERGENCE ANALYSIS OF LAGRANGE RECTANGULAR ELEMENTS WITH ANY ORDER ON ARBITRARY RECTANGULAR MESHES
	Li Mingxia 1; Guan Xiaofei 2; Mao Shipeng3
	2014
发表期刊	Journal of Computational Mathematics
ISSN	0254-9409
卷号	32 期号:2 页码:169
摘要	This paper is to study the convergence and superconvergence of rectangular finite elements under anisotropic meshes. By using of the orthogonal expansion method, an anisotropic Lagrange interpolation is presented. The family of Lagrange rectangular elements with all the possible shape function spaces are considered, which cover the Intermediate families, Tensor-product families and Serendipity families. It is shown that the anisotropic interpolation error estimates hold for any order Sobolev norm. We extend the convergence and superconvergence result of rectangular finite elements to arbitrary rectangular meshes in a unified way.
语种	英语
资助项目	[NSFC] ; [Fundamental Research Funds for the Central Universities of China]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/47856
专题	计算数学与科学工程计算研究所
作者单位	1.School of Science, China Uniuersity of Geosciences 2.同济大学 3.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Li Mingxia,Guan Xiaofei,Mao Shipeng. CONVERGENCE AND SUPERCONVERGENCE ANALYSIS OF LAGRANGE RECTANGULAR ELEMENTS WITH ANY ORDER ON ARBITRARY RECTANGULAR MESHES[J]. Journal of Computational Mathematics,2014,32(2):169.
APA	Li Mingxia,Guan Xiaofei,&Mao Shipeng.(2014).CONVERGENCE AND SUPERCONVERGENCE ANALYSIS OF LAGRANGE RECTANGULAR ELEMENTS WITH ANY ORDER ON ARBITRARY RECTANGULAR MESHES.Journal of Computational Mathematics,32(2),169.
MLA	Li Mingxia,et al."CONVERGENCE AND SUPERCONVERGENCE ANALYSIS OF LAGRANGE RECTANGULAR ELEMENTS WITH ANY ORDER ON ARBITRARY RECTANGULAR MESHES".Journal of Computational Mathematics 32.2(2014):169.