Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/050643994 ◽

2007 ◽

Vol 45 (4) ◽

pp. 1639-1653 ◽

Author(s):

So-Hsiang Chou ◽

Xiu Ye

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Finite Volume Methods ◽

Second Order ◽

Second Order Elliptic Problems

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Adaptive Bilinear Element Finite Volume Methods for Second-Order Elliptic Problems on Nonmatching Grids

Journal of Scientific Computing ◽

10.1007/s10915-014-9927-9 ◽

2014 ◽

Vol 64 (1) ◽

pp. 130-150

Author(s):

Yanli Chen ◽

Yonghai Li ◽

Zhiqiang Sheng ◽

Guangwei Yuan

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Finite Volume Methods ◽

Second Order ◽

Nonmatching Grids ◽

Bilinear Element ◽

Second Order Elliptic Problems

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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 ◽

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 ◽

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 ◽

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ANALYSIS OF LEAST-SQUARES APPROXIMATIONS TO SECOND-ORDER ELLIPTIC PROBLEMS. II. FINITE VOLUME METHOD

Numerical Functional Analysis and Optimization ◽

10.1081/nfa-120006703 ◽

2002 ◽

Vol 23 (3-4) ◽

pp. 433-451 ◽

Author(s):

Suh-Yuh Yang

Keyword(s):

Least Squares ◽

Finite Volume Method ◽

Finite Volume ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems ◽

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A face-centred finite volume method for second-order elliptic problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5833 ◽

2018 ◽

Vol 115 (8) ◽

pp. 986-1014 ◽

Author(s):

Ruben Sevilla ◽

Matteo Giacomini ◽

Antonio Huerta

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems ◽

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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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Convergence and Superconvergence of the Local Discontinuous Galerkin Method for Semilinear Second-Order Elliptic Problems on Cartesian Grids

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-021-00123-8 ◽

2021 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems ◽

Local Discontinuous Galerkin Method ◽

Second Order ◽

Cartesian Grids ◽

Local Discontinuous Galerkin ◽

Convergence And Superconvergence ◽

Second Order Elliptic Problems

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Wavelet Methods for Second-Order Elliptic Problems, Preconditioning, and Adaptivity

SIAM Journal on Scientific Computing ◽

10.1137/s1064827597330613 ◽

1999 ◽

Vol 21 (3) ◽

pp. 1006-1026 ◽

Author(s):

A. Cohen ◽

R. Masson

Keyword(s):

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems ◽

Wavelet Methods

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Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-02-01426-6 ◽

2002 ◽

Vol 72 (242) ◽

pp. 525-540 ◽

Author(s):

So-Hsiang Chou ◽

Do Y. Kwak ◽

Kwang Y. Kim

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Finite Volume Methods

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Supercloseness of Primal-Dual Galerkin Approximations for Second Order Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-017-0538-0 ◽

2017 ◽

Vol 75 (1) ◽

pp. 376-394

Author(s):

Bernardo Cockburn ◽

Manuel A. Sánchez ◽

Chunguang Xiong

Keyword(s):

Elliptic Problems ◽

Second Order ◽

Galerkin Approximations ◽

Primal Dual ◽

Second Order Elliptic Problems

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