Superconvergence of a mixed covolume method for elliptic problems
Rui, HX
Source PublicationCOMPUTING
AbstractWe 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.
Keywordmixed covolume method elliptic problem error estimate superconvergence
WOS Research AreaComputer Science
WOS SubjectComputer Science, Theory & Methods
WOS IDWOS:000186632500003
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Document Type期刊论文
Corresponding AuthorRui, HX
Affiliation1.Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100864, Peoples R China
Recommended Citation
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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