KMS Of Academy of mathematics and systems sciences, CAS
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. |
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