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^*

^*Corresponding author for this work

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

11 Citations (Scopus)

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.

Original language	English
Pages (from-to)	424-431
Number of pages	8
Journal	Journal of Computational and Applied Mathematics
Volume	199
Issue number	2
DOIs	https://doi.org/10.1016/j.cam.2005.08.042
Publication status	Published - 2007 Feb 15
Externally published	Yes

Keywords

Characteristic finite element method
Convection-diffusion equation
Numerical integration error
Stability

ASJC Scopus subject areas

Applied Mathematics
Computational Mathematics
Numerical Analysis

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10.1016/j.cam.2005.08.042

Cite this

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title = "Discrepancy between theory and real computation on the stability of some finite element schemes",

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.",

keywords = "Characteristic finite element method, Convection-diffusion equation, Numerical integration error, Stability",

author = "Masahisa Tabata",

year = "2007",

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AU - Tabata, Masahisa

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AB - 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.

KW - Characteristic finite element method

KW - Convection-diffusion equation

KW - Numerical integration error

KW - Stability

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JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 2

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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