Error estimates for finite volume element methods for general second-order elliptic problems

Haijun Wu; Ronghua Li

doi:10.1002/num.10068

Error estimates for finite volume element methods for general second-order elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10068 ◽

2003 ◽

Vol 19 (6) ◽

pp. 693-708 ◽

Cited By ~ 47

Author(s):

Haijun Wu ◽

Ronghua Li

Keyword(s):

Error Estimates ◽

Finite Volume ◽

Elliptic Problems ◽

Second Order ◽

Volume Element ◽

Finite Volume Element ◽

Second Order Elliptic Problems

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A discontinuous finite volume element method for second-order elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20626 ◽

2010 ◽

Vol 28 (2) ◽

pp. 425-440 ◽

Cited By ~ 17

Author(s):

Chunjia Bi ◽

Mingming Liu

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Second Order ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Second Order Elliptic Problems ◽

Element Method

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Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20405 ◽

2009 ◽

Vol 25 (6) ◽

pp. 1402-1424 ◽

Cited By ~ 20

Author(s):

Sarvesh Kumar ◽

Neela Nataraj ◽

Amiya K. Pani

Keyword(s):

Discontinuous Galerkin ◽

Finite Volume ◽

Elliptic Problems ◽

Second Order ◽

Volume Element ◽

Order Linear ◽

Finite Volume Element

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Finite-volume-element method for second-order quasilinear elliptic problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drq011 ◽

2010 ◽

Vol 31 (3) ◽

pp. 1062-1089 ◽

Cited By ~ 6

Author(s):

C. Bi ◽

V. Ginting

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Second Order ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic ◽

Element Method

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A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.12.005 ◽

2021 ◽

Vol 161 ◽

pp. 510-524

Author(s):

Shipeng Xu

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

Second Order ◽

Galerkin Methods ◽

A Posteriori ◽

Weak Galerkin ◽

A Posteriori Error ◽

Second Order Elliptic Problems

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Finite volume element method for monotone nonlinear elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21747 ◽

2012 ◽

Vol 29 (4) ◽

pp. 1097-1120 ◽

Cited By ~ 5

Author(s):

Chunjia Bi ◽

Yanping Lin ◽

Min Yang

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Volume Element ◽

Nonlinear Elliptic Problems ◽

Finite Volume Element Method ◽

Nonlinear Elliptic ◽

Finite Volume Element ◽

Element Method

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Additive Schwarz preconditioner for the finite volume element discretization of symmetric elliptic problems

BIT Numerical Mathematics ◽

10.1007/s10543-015-0581-x ◽

2015 ◽

Vol 56 (3) ◽

pp. 967-993 ◽

Cited By ~ 3

Author(s):

L. Marcinkowski ◽

T. Rahman ◽

A. Loneland ◽

J. Valdman

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Volume Element ◽

Element Discretization ◽

Additive Schwarz ◽

Finite Volume Element ◽

Schwarz Preconditioner

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A second-order finite volume element method on quadrilateral meshes for elliptic equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2007002 ◽

2006 ◽

Vol 40 (6) ◽

pp. 1053-1067 ◽

Cited By ~ 20

Author(s):

Min Yang

Keyword(s):

Finite Volume ◽

Elliptic Equations ◽

Second Order ◽

Volume Element ◽

Finite Volume Element Method ◽

Quadrilateral Meshes ◽

Finite Volume Element ◽

Element Method

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Symmetric finite volume element approximations of second order linear hyperbolic integro-differential equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.09.019 ◽

2015 ◽

Vol 70 (10) ◽

pp. 2589-2600 ◽

Cited By ~ 1

Author(s):

Xiao-Ting Gan ◽

Jun-Feng Yin

Keyword(s):

Differential Equations ◽

Finite Volume ◽

Second Order ◽

Volume Element ◽

Order Linear ◽

Finite Volume Element

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Analysis of second order finite volume element methods for pseudo-parabolic equations in three spatial dimensions

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.05.039 ◽

2008 ◽

Vol 196 (1) ◽

pp. 94-104 ◽

Cited By ~ 2

Author(s):

Min Yang

Keyword(s):

Finite Volume ◽

Parabolic Equations ◽

Second Order ◽

Volume Element ◽

Spatial Dimensions ◽

Finite Volume Element

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Pointwise Error Estimates of Discontinuous Galerkin Methods with Penalty for Second-Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142903421527 ◽

2004 ◽

Vol 42 (3) ◽

pp. 1146-1166 ◽

Cited By ~ 35

Author(s):

Zhangxin Chen ◽

Hongsen Chen

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Methods ◽

Pointwise Error ◽

Pointwise Error Estimates ◽

Second Order Elliptic Problems

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