A second order characteristic finite element scheme for convection-diffusion problems

Hongxing Rui; Masahisa Tabata

doi:10.1007/s002110100364

A second order 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

80 Citations (Scopus)

Abstract

A new characteristic finite element scheme is presented for convection-diffusion problems. It is of second order accuracy in time increment, symmetric, and unconditionally stable. Optimal error estimates are proved in the framework of L²-theory. Numerical results are presented for two examples, which show the advantage of the scheme.

Original language	English
Pages (from-to)	161-177
Number of pages	17
Journal	Numerische Mathematik
Volume	92
Issue number	1
DOIs	https://doi.org/10.1007/s002110100364
Publication status	Published - 2002 Jul
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics
Computational Mathematics

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10.1007/s002110100364

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abstract = "A new characteristic finite element scheme is presented for convection-diffusion problems. It is of second order accuracy in time increment, symmetric, and unconditionally stable. Optimal error estimates are proved in the framework of L2-theory. Numerical results are presented for two examples, which show the advantage of the scheme.",

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A second order characteristic finite element scheme for convection-diffusion problems

Abstract

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