Boundary pointwise error estimate for finite element method

Hyeong Ohk Bae, Jeong Ho Chu, Hi Jun Choe, Do Wan Kim

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper is devoted to the pointwise error estimate up to boundary for the standard finite element solution of Poisson equation with Dirichlet boundary condition. Our new approach uses the discrete maximum principle for the discrete harmonic solution. Once the mesh in our domain satisfies the β- condition defined by us, the discrete harmonic solution with Dirichlet boundary condition has the discrete maximum principle and the pointwise error should be bounded by L1- errors newly obtained.

Original languageEnglish
Pages (from-to)1033-1046
Number of pages14
JournalJournal of the Korean Mathematical Society
Volume36
Issue number6
Publication statusPublished - 1999 Dec 1

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Discrete Maximum Principle
Pointwise Estimates
Dirichlet Boundary Conditions
Error Estimates
Harmonic
Finite Element Method
Finite Element Solution
Poisson's equation
Mesh
Standards

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Bae, Hyeong Ohk ; Chu, Jeong Ho ; Choe, Hi Jun ; Kim, Do Wan. / Boundary pointwise error estimate for finite element method. In: Journal of the Korean Mathematical Society. 1999 ; Vol. 36, No. 6. pp. 1033-1046.
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Boundary pointwise error estimate for finite element method. / Bae, Hyeong Ohk; Chu, Jeong Ho; Choe, Hi Jun; Kim, Do Wan.

In: Journal of the Korean Mathematical Society, Vol. 36, No. 6, 01.12.1999, p. 1033-1046.

Research output: Contribution to journalArticle

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