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Volume 4, Issue 1
Finite Volume Element Methods: An Overview on Recent Developments

YANPING LIN, JIANGGUO LIU, AND MIN YANG

Int. J. Numer. Anal. Mod. B, 4 (2013), pp. 14-34

Published online: 2013-04

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  • 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.
  • Keywords

elliptic equations finite element methods finite volume element (FVE) methods higher order FVE parabolic problems Stokes problems

  • AMS Subject Headings

65N30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAMB-4-14, author = {YANPING LIN, JIANGGUO LIU, AND MIN YANG}, title = { Finite Volume Element Methods: An Overview on Recent Developments}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2013}, volume = {4}, number = {1}, pages = {14--34}, 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.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/244.html} }
TY - JOUR T1 - Finite Volume Element Methods: An Overview on Recent Developments AU - YANPING LIN, JIANGGUO LIU, AND MIN YANG JO - International Journal of Numerical Analysis Modeling Series B VL - 1 SP - 14 EP - 34 PY - 2013 DA - 2013/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/244.html KW - elliptic equations KW - finite element methods KW - finite volume element (FVE) methods KW - higher order FVE KW - parabolic problems KW - Stokes problems AB - 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.
YANPING LIN, JIANGGUO LIU, AND MIN YANG. (2013). Finite Volume Element Methods: An Overview on Recent Developments. International Journal of Numerical Analysis Modeling Series B. 4 (1). 14-34. doi:
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