Two families of mixed finite elements for second order elliptic problems

Franco Brezzi; Jim Douglas; L. D. Marini

doi:10.1007/bf01389710

Two families of mixed finite elements for second order elliptic problems

Numerische Mathematik ◽

10.1007/bf01389710 ◽

1985 ◽

Vol 47 (2) ◽

pp. 217-235 ◽

Cited By ~ 644

Author(s):

Franco Brezzi ◽

Jim Douglas ◽

L. D. Marini

Keyword(s):

Finite Elements ◽

Elliptic Problems ◽

Mixed Finite Elements ◽

Second Order ◽

Second Order Elliptic Problems

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Prismatic mixed finite elements for second order elliptic problems

CALCOLO ◽

10.1007/bf02575725 ◽

1989 ◽

Vol 26 (2-4) ◽

pp. 135-148 ◽

Cited By ~ 62

Author(s):

Z. Chen ◽

J. Douglas

Keyword(s):

Finite Elements ◽

Elliptic Problems ◽

Mixed Finite Elements ◽

Second Order ◽

Second Order Elliptic Problems

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Mixed finite elements for second order elliptic problems in three variables

Numerische Mathematik ◽

10.1007/bf01396752 ◽

1987 ◽

Vol 51 (2) ◽

pp. 237-250 ◽

Cited By ~ 205

Author(s):

Franco Brezzi ◽

Jim Douglas ◽

Ricardo Durán ◽

Michel Fortin

Keyword(s):

Finite Elements ◽

Elliptic Problems ◽

Mixed Finite Elements ◽

Second Order ◽

Second Order Elliptic Problems

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Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/0731071 ◽

1994 ◽

Vol 31 (5) ◽

pp. 1368-1377 ◽

Cited By ~ 126

Author(s):

A. I. Pehlivanov ◽

G. F. Carey ◽

R. D. Lazarov

Keyword(s):

Finite Elements ◽

Least Squares ◽

Elliptic Problems ◽

Mixed Finite Elements ◽

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 ◽

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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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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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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