A cell boundary element method for elliptic problems

An elementary analysis on the cell boundary element (CBEM) was given by Jeon and Sheen. In this article we improve the previous results in various aspects. First of all, stability and convergence analysis on the rectangular grids are established. Moreover, error estimates are improved. Our improved...

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Bibliographic Details
Published inNumerical methods for partial differential equations Vol. 21; no. 3; pp. 496 - 511
Main Authors Jeon, Youngmok, Park, Eun-Jae, Sheen, Dongwoo
Format Journal Article
LanguageEnglish
Published Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.05.2005
Subjects
cell boundary element method
Dirichlet-to-Neumann map
finite element
finite volume
flux conservation
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Summary:An elementary analysis on the cell boundary element (CBEM) was given by Jeon and Sheen. In this article we improve the previous results in various aspects. First of all, stability and convergence analysis on the rectangular grids are established. Moreover, error estimates are improved. Our improved analysis was possible by recasting of the CBEM in a Petrov‐Galerkin setting. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2005
Bibliography:AMS(MOS) subject classification: 65N30, 65N38, 65N50
istex:973C4A440108DF19545CEE0A0B838AD722340D61
Com2MaC-KOSEF
ArticleID:NUM20047
KRF - No. 2003-070-C00007
KOSEF - No. ROI-2000-00008
ark:/67375/WNG-0SS2W9MQ-8
ISSN:0749-159X
1098-2426
DOI:10.1002/num.20047