Finite volume element methods : an overview on recent developments

Yanping Lin; J. Liu; M. Yang

Finite volume element methods : an overview on recent developments

Yanping Lin, J. Liu, M. Yang

Research output: Journal article publication › Journal article › Academic 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 language	English
Pages (from-to)	14-34
Number of pages	21
Journal	International journal of numerical analysis and modeling. Series B
Volume	4
Issue number	1
Publication status	Published - 2013

Keywords

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

Cite this

@article{9decded814804eb59ee178d418d4a552,

title = "Finite volume element methods : an overview on recent developments",

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",

author = "Yanping Lin and J. Liu and M. Yang",

year = "2013",

language = "English",

volume = "4",

pages = "14--34",

journal = "International journal of numerical analysis and modeling. Series B",

issn = "1923-2942",

number = "1",

}

TY - JOUR

T1 - Finite volume element methods : an overview on recent developments

AU - Lin, Yanping

AU - Liu, J.

AU - Yang, M.

PY - 2013

Y1 - 2013

N2 - 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.

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.

KW - Elliptic equations

KW - Finite element methods

KW - Finite volume element (FVE) methods

KW - Higher order FVE

KW - Parabolic problems

KW - Stokes problems

M3 - Journal article

SN - 1923-2942

VL - 4

SP - 14

EP - 34

JO - International journal of numerical analysis and modeling. Series B

JF - International journal of numerical analysis and modeling. Series B

IS - 1

ER -

Finite volume element methods : an overview on recent developments

Abstract

Keywords

Fingerprint

Cite this