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

Hongxing Rui, Masahisa Tabata

Research output: Contribution to journalArticle

20 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 languageEnglish
Pages (from-to)416-432
Number of pages17
JournalJournal of Scientific Computing
Volume43
Issue number3
DOIs
Publication statusPublished - 2010 Jun
Externally publishedYes

Fingerprint

Convection-diffusion Problems
Finite Element
Unconditionally Stable
Increment
First-order
Numerical Examples
Convection

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)

Cite this

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

In: Journal of Scientific Computing, Vol. 43, No. 3, 06.2010, p. 416-432.

Research output: Contribution to journalArticle

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