A cell boundary element method for elliptic problems

Foungmok Jeon, Eun-Jae Park, Dongwoo Sheen

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)496-511
Number of pages16
JournalNumerical Methods for Partial Differential Equations
Volume21
Issue number3
DOIs
Publication statusPublished - 2005 May 1

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Boundary element method
Elliptic Problems
Boundary Elements
Petrov-Galerkin
Cell
Stability and Convergence
Convergence Analysis
Error Estimates
Stability Analysis
Grid

All Science Journal Classification (ASJC) codes

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this

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A cell boundary element method for elliptic problems. / Jeon, Foungmok; Park, Eun-Jae; Sheen, Dongwoo.

In: Numerical Methods for Partial Differential Equations, Vol. 21, No. 3, 01.05.2005, p. 496-511.

Research output: Contribution to journalArticle

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