Superconvergence of a mixed covolume method for elliptic problems

doi:10.1007/s00607-003-0030-6

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	Superconvergence of a mixed covolume method for elliptic problems
	Rui, HX
	2003-11-01
发表期刊	COMPUTING
ISSN	0010-485X
卷号	71 期号:3 页码:247-263
摘要	We consider a mixed covolume method for a system of first order partial differential equations resulting from the mixed formulation of a general self-adjoint elliptic problem with a variable full diffusion tensor. The system can be used to model the transport of a contaminant carried by a flow. We use the lowest order Raviart-Thomas mixed finite element space. We show the first order convergence in L-2 norm and the superconvergence in certain discrete norms both for the pressure and velocity. Finally some numerical examples illustrating the error behavior of the scheme are provided.
关键词	mixed covolume method elliptic problem error estimate superconvergence
DOI	10.1007/s00607-003-0030-6
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Theory & Methods
WOS记录号	WOS:000186632500003
出版者	SPRINGER-VERLAG WIEN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18461
专题	中国科学院数学与系统科学研究院
通讯作者	Rui, HX
作者单位	1.Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100864, Peoples R China
推荐引用方式 GB/T 7714	Rui, HX. Superconvergence of a mixed covolume method for elliptic problems[J]. COMPUTING,2003,71(3):247-263.
APA	Rui, HX.(2003).Superconvergence of a mixed covolume method for elliptic problems.COMPUTING,71(3),247-263.
MLA	Rui, HX."Superconvergence of a mixed covolume method for elliptic problems".COMPUTING 71.3(2003):247-263.