Discrepancy between theory and real computation on the stability of some finite element schemes

Masahisa Tabata

doi:10.1016/j.cam.2005.08.042

Discrepancy between theory and real computation on the stability of some finite element schemes

Masahisa Tabata

研究成果: Article

10 引用（Scopus）

抜粋

Finite element schemes based on the method of characteristics are considered for the convection-diffusion equation. Those are proved to be stable, but in a real computation some instability occurs. We reveal the cause of the discrepancy between theory and real computation, and present a remedy to the instability.

元の言語	English
ページ（範囲）	424-431
ページ数	8
ジャーナル	Journal of Computational and Applied Mathematics
巻	199
発行部数	2
DOI	https://doi.org/10.1016/j.cam.2005.08.042
出版物ステータス	Published - 2007 2 15
外部発表	Yes

ASJC Scopus subject areas

Applied Mathematics
Computational Mathematics
Numerical Analysis

文献にアクセス

10.1016/j.cam.2005.08.042

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これを引用

Tabata, M. (2007). Discrepancy between theory and real computation on the stability of some finite element schemes. Journal of Computational and Applied Mathematics, 199(2), 424-431. https://doi.org/10.1016/j.cam.2005.08.042

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abstract = "Finite element schemes based on the method of characteristics are considered for the convection-diffusion equation. Those are proved to be stable, but in a real computation some instability occurs. We reveal the cause of the discrepancy between theory and real computation, and present a remedy to the instability.",

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KW - Convection-diffusion equation

KW - Numerical integration error

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