A cell boundary element method for elliptic problems

Foungmok Jeon; Eun Jae Park; Dongwoo Sheen

doi:10.1002/num.20047

A cell boundary element method for elliptic problems

Foungmok Jeon, Eun Jae Park, Dongwoo Sheen

Department of Computational Science and Engineering

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	496-511
Number of pages	16
Journal	Numerical Methods for Partial Differential Equations
Volume	21
Issue number	3
DOIs	https://doi.org/10.1002/num.20047
Publication status	Published - 2005 May

All Science Journal Classification (ASJC) codes

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1002/num.20047

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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.",

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AB - 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.

KW - Cell boundary element method

KW - Dirichlet-to-neumann map

KW - Finite element

KW - Finite volume

KW - Flux conservation

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JF - Numerical Methods for Partial Differential Equations

IS - 3

ER -

A cell boundary element method for elliptic problems

Abstract

All Science Journal Classification (ASJC) codes

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