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

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	CONVERGENCE AND SUPERCONVERGENCE ANALYSIS OF LAGRANGE RECTANGULAR ELEMENTS WITH ANY ORDER ON ARBITRARY RECTANGULAR MESHES
	Li Mingxia 3; Guan Xiaofei 2; Mao Shipeng1
刊名	Journal of Computational Mathematics
	2014
卷号	32 期号:2 页码:169
ISSN号	0254-9409
英文摘要	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.
资助项目	[NSFC] ; [Fundamental Research Funds for the Central Universities of China]
语种	英语
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/47855]
专题	计算数学与科学工程计算研究所
作者单位	1.中国科学院数学与系统科学研究院 2.同济大学 3.School of Science, China Uniuersity of Geosciences
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.