Analysis of a new augmented mixed finite element method for linear elasticity allowing $\mathbb{RT}_0$-$\mathbb{P}_1$-$\mathbb{P}_0$ approximations

Gabriel N. Gatica

doi:10.1051/m2an:2006003

Analysis of a new augmented mixed finite element method for linear elasticity allowing $\mathbb{RT}_0$-$\mathbb{P}_1$-$\mathbb{P}_0$ approximations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2006003 ◽

2006 ◽

Vol 40 (1) ◽

pp. 1-28 ◽

Cited By ~ 58

Author(s):

Gabriel N. Gatica

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elasticity ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

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Remarks on the Convergence of a Mixed Finite Element Method in Linear Elasticity

Variational Methods in the Mechanics of Solids ◽

10.1016/b978-0-08-024728-1.50046-x ◽

1980 ◽

pp. 265-268

Author(s):

L. Ascione ◽

A. Grimaldi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elasticity ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

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An adaptive least squares mixed finite element method for the stress-displacement formulation of linear elasticity

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20029 ◽

2004 ◽

Vol 21 (1) ◽

pp. 132-148 ◽

Cited By ~ 30

Author(s):

Zhiqiang Cai ◽

Johannes Korsawe ◽

Gerhard Starke

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Linear Elasticity ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

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A conforming mixed finite element method for the pure traction problem of linear elasticity

Applied Mathematics and Computation ◽

10.1016/s0096-3003(97)10073-x ◽

1998 ◽

Vol 93 (1) ◽

pp. 11-29 ◽

Cited By ~ 6

Author(s):

Chang-Ock Lee

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elasticity ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

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Global superconvergence approximations of the mixed finite element method for the Stokes problem and the linear elasticity equation

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1996300404011 ◽

1996 ◽

Vol 30 (4) ◽

pp. 401-411 ◽

Cited By ~ 3

Author(s):

Aihui Zhou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elasticity ◽

Stokes Problem ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Elasticity Equation ◽

Global Superconvergence ◽

Element Method

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A residual basedA POSTERIORIerror estimator for an augmented mixed finite element method in linear elasticity

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2006036 ◽

2006 ◽

Vol 40 (5) ◽

pp. 843-869 ◽

Cited By ~ 29

Author(s):

Tomás P. Barrios ◽

Gabriel N. Gatica ◽

María González ◽

Norbert Heuer

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elasticity ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

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An augmented mixed finite element method for 3D linear elasticity problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.03.018 ◽

2009 ◽

Vol 231 (2) ◽

pp. 526-540 ◽

Cited By ~ 20

Author(s):

Gabriel N. Gatica ◽

Antonio Márquez ◽

Salim Meddahi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elasticity ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Elasticity Problems ◽

Element Method

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A new dual-mixed finite element method for the plane linear elasticity problem with pure traction boundary conditions

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2007.10.003 ◽

2008 ◽

Vol 197 (9-12) ◽

pp. 1115-1130 ◽

Cited By ~ 15

Author(s):

Gabriel N. Gatica ◽

Antonio Márquez ◽

Salim Meddahi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Conditions ◽

Linear Elasticity ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Elasticity Problem ◽

Plane Linear Elasticity ◽

Traction Boundary Conditions ◽

Element Method

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The simplest nonconforming mixed finite element method for linear elasticity in the symmetric formulation on n-rectangular grids

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.01.023 ◽

2016 ◽

Vol 71 (7) ◽

pp. 1317-1336 ◽

Cited By ~ 10

Author(s):

Jun Hu ◽

Hongying Man ◽

Jianye Wang ◽

Shangyou Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elasticity ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Symmetric Formulation ◽

Rectangular Grids ◽

Element Method

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A locking-free stabilized mixed finite element method for linear elasticity: the high order case

CALCOLO ◽

10.1007/s10092-018-0255-6 ◽

2018 ◽

Vol 55 (1) ◽

Author(s):

Bei Zhang ◽

Jikun Zhao ◽

Shaochun Chen ◽

Yongqin Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elasticity ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

High Order ◽

Order Case ◽

Stabilized Mixed Finite Element ◽

Element Method

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Analysis of an augmented fully-mixed finite element method for a bioconvective flows model

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113504 ◽

2021 ◽

Vol 393 ◽

pp. 113504

Author(s):

Eligio Colmenares ◽

Gabriel N. Gatica ◽

Willian Miranda

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

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