A mass-conservative characteristic finite element scheme for convection-diffusion problems

Hongxing Rui; Masahisa Tabata

doi:10.1007/s10915-009-9283-3

A mass-conservative characteristic finite element scheme for convection-diffusion problems

Hongxing Rui^*, Masahisa Tabata

^*Corresponding author for this work

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

38 Citations (Scopus)

Abstract

We develop a mass-conservative characteristic finite element scheme for convection diffusion problems. This scheme preserves the mass balance identity. It is proved that the scheme is essentially unconditionally stable and convergent with first order in time increment and k-th order in element size when the P _k element is employed. Some numerical examples are presented to show the efficiency of the present scheme.

Original language	English
Pages (from-to)	416-432
Number of pages	17
Journal	Journal of Scientific Computing
Volume	43
Issue number	3
DOIs	https://doi.org/10.1007/s10915-009-9283-3
Publication status	Published - 2010 Jun
Externally published	Yes

Keywords

Convection-diffusion
Error estimates
Finite element
Mass-conservation
Method of characteristics

ASJC Scopus subject areas

Software
Computational Theory and Mathematics
Theoretical Computer Science
Engineering(all)

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10.1007/s10915-009-9283-3

Cite this

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abstract = "We develop a mass-conservative characteristic finite element scheme for convection diffusion problems. This scheme preserves the mass balance identity. It is proved that the scheme is essentially unconditionally stable and convergent with first order in time increment and k-th order in element size when the P k element is employed. Some numerical examples are presented to show the efficiency of the present scheme.",

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AU - Rui, Hongxing

AU - Tabata, Masahisa

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N2 - We develop a mass-conservative characteristic finite element scheme for convection diffusion problems. This scheme preserves the mass balance identity. It is proved that the scheme is essentially unconditionally stable and convergent with first order in time increment and k-th order in element size when the P k element is employed. Some numerical examples are presented to show the efficiency of the present scheme.

AB - We develop a mass-conservative characteristic finite element scheme for convection diffusion problems. This scheme preserves the mass balance identity. It is proved that the scheme is essentially unconditionally stable and convergent with first order in time increment and k-th order in element size when the P k element is employed. Some numerical examples are presented to show the efficiency of the present scheme.

KW - Convection-diffusion

KW - Error estimates

KW - Finite element

KW - Mass-conservation

KW - Method of characteristics

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JF - Journal of Scientific Computing

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ER -

A mass-conservative characteristic finite element scheme for convection-diffusion problems

Abstract

Keywords

ASJC Scopus subject areas

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