Finite volume element methods : an overview on recent developments

Yanping Lin, J. Liu, M. Yang

Research output: Journal article publicationJournal articleAcademic research

Abstract

In this paper, we present an overview of the progress of the finite volume element (FVE) methods. We show that the linear FVE methods are quite mature due to their close relationship to the linear finite element methods, while development of higher order finite volume methods remains a difficult and promising research front. Theoretical analysis, as well as the algorithms and applications of these methods, are reviewed.
Original languageEnglish
Pages (from-to)14-34
Number of pages21
JournalInternational journal of numerical analysis and modeling. Series B
Volume4
Issue number1
Publication statusPublished - 2013

Keywords

  • Elliptic equations
  • Finite element methods
  • Finite volume element (FVE) methods
  • Higher order FVE
  • Parabolic problems
  • Stokes problems

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