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

Bernardo Cockburn; Manuel A. Sánchez; Chunguang Xiong

doi:10.1007/s10915-017-0538-0

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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Two-level additive Schwarz methods for discontinuous Galerkin approximations of second-order elliptic problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drw061 ◽

2016 ◽

pp. drw061 ◽

Cited By ~ 1

Author(s):

Ohannes Karakashian ◽

Craig Collins

Keyword(s):

Discontinuous Galerkin ◽

Elliptic Problems ◽

Second Order ◽

Schwarz Methods ◽

Additive Schwarz ◽

Galerkin Approximations ◽

Second Order Elliptic Problems ◽

Additive Schwarz Methods

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Convergence of Adaptive Discontinuous Galerkin Approximations of Second‐Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/05063979x ◽

2007 ◽

Vol 45 (2) ◽

pp. 641-665 ◽

Cited By ~ 55

Author(s):

Ohannes A. Karakashian ◽

Frederic Pascal

Keyword(s):

Discontinuous Galerkin ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Approximations ◽

Second Order Elliptic Problems

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A-Posteriori Error Estimates for Discontinuous Galerkin Approximations of Second Order Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-009-9286-0 ◽

2009 ◽

Vol 40 (1-3) ◽

pp. 340-359 ◽

Cited By ~ 17

Author(s):

Carlo Lovadina ◽

L. Donatella Marini

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

Second Order ◽

A Posteriori ◽

A Posteriori Error ◽

Galerkin Approximations ◽

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 ◽

Cited By ~ 40

Author(s):

A. Cohen ◽

R. Masson

Keyword(s):

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems ◽

Wavelet Methods

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A Family of Rectangular Mixed Elements with a Continuous Flux for Second Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142903435247 ◽

2005 ◽

Vol 42 (5) ◽

pp. 1914-1931 ◽

Cited By ~ 15

Author(s):

Todd Arbogast ◽

Mary F. Wheeler

Keyword(s):

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems

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A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-08-02123-6 ◽

2008 ◽

Vol 77 (264) ◽

pp. 1887-1916 ◽

Cited By ~ 148

Author(s):

Bernardo Cockburn ◽

Bo Dong ◽

Johnny Guzmán

Keyword(s):

Galerkin Method ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems

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P1-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902404923 ◽

2003 ◽

Vol 41 (2) ◽

pp. 624-640 ◽

Cited By ~ 88

Author(s):

Chunjae Park ◽

Dongwoo Sheen

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems ◽

Quadrilateral Finite Element

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Low Regularity Error Analysis for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2020-0120 ◽

2021 ◽

Vol 14 (3) ◽

pp. 613-623

Author(s):

Xiu Ye & Shangyou Zhang

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Low Regularity ◽

Galerkin Finite Element Methods ◽

Second Order Elliptic Problems

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