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

Hongxing Rui, Masahisa Tabata

Research output: Contribution to journalArticle

66 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 languageEnglish
Pages (from-to)161-177
Number of pages17
JournalNumerische Mathematik
Volume92
Issue number1
DOIs
Publication statusPublished - 2002 Jul
Externally publishedYes

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Convection-diffusion Problems
Finite Element
Second-order Accuracy
Optimal Error Estimates
Unconditionally Stable
Increment
Numerical Results
Convection
Framework

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Computational Mathematics

Cite this

A second order characteristic finite element scheme for convection-diffusion problems. / Rui, Hongxing; Tabata, Masahisa.

In: Numerische Mathematik, Vol. 92, No. 1, 07.2002, p. 161-177.

Research output: Contribution to journalArticle

Rui, Hongxing ; Tabata, Masahisa. / A second order characteristic finite element scheme for convection-diffusion problems. In: Numerische Mathematik. 2002 ; Vol. 92, No. 1. pp. 161-177.
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