Analysis of some low-order nonconforming mixed finite elements for linear elasticity problem

Kwang Yeon Kim

doi:10.1002/num.20114

Analysis of some low-order nonconforming mixed finite elements for linear elasticity problem

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20114 ◽

2006 ◽

Vol 22 (3) ◽

pp. 638-660 ◽

Cited By ~ 2

Author(s):

Kwang Yeon Kim

Keyword(s):

Finite Elements ◽

Linear Elasticity ◽

Mixed Finite Elements ◽

Elasticity Problem ◽

Low Order

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Superconvergence Analysis for the Stable Conforming Rectangular Mixed Finite Elements for the Linear Elasticity Problem

Journal of Computational Mathematics ◽

10.4208/jcm.1401-m3837 ◽

2014 ◽

Vol 32 (2) ◽

pp. 205-214 ◽

Cited By ~ 7

Author(s):

Dongyang Shi and Minghao Li

Keyword(s):

Finite Elements ◽

Linear Elasticity ◽

Mixed Finite Elements ◽

Elasticity Problem

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The families of nonconforming mixed finite elements for linear elasticity on simplex grids

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.03.017 ◽

2019 ◽

Vol 358 ◽

pp. 348-362 ◽

Cited By ~ 1

Author(s):

Yan-Ping Sun ◽

Shao-Chun Chen ◽

Yong-Qin Yang

Keyword(s):

Finite Elements ◽

Linear Elasticity ◽

Mixed Finite Elements

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Error indicators for mixed finite elements in 2-dimensional linear elasticity

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(95)00841-3 ◽

1995 ◽

Vol 127 (1-4) ◽

pp. 345-356 ◽

Cited By ~ 22

Author(s):

Dietrich Braess ◽

Ottmar Klaas ◽

Rainer Niekamp ◽

Erwin Stein ◽

Frank Wobschal

Keyword(s):

Finite Elements ◽

Linear Elasticity ◽

Mixed Finite Elements ◽

Error Indicators

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Some low order nonconforming mixed finite elements combined with Raviart–Thomas elements for a coupled Stokes–Darcy model

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-013-0119-z ◽

2013 ◽

Vol 30 (3) ◽

pp. 565-584 ◽

Cited By ~ 1

Author(s):

Peiqi Huang ◽

Jinru Chen

Keyword(s):

Finite Elements ◽

Mixed Finite Elements ◽

Darcy Model ◽

Low Order

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A family of mixed finite elements for linear elasticity

Numerische Mathematik ◽

10.1007/bf01389334 ◽

1989 ◽

Vol 55 (6) ◽

pp. 633-666 ◽

Cited By ~ 42

Author(s):

Mary E. Morley

Keyword(s):

Finite Elements ◽

Linear Elasticity ◽

Mixed Finite Elements

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A Posteriori Error Estimates of Stabilization of Low-Order Mixed Finite Elements for Incompressible Flow

SIAM Journal on Scientific Computing ◽

10.1137/090771508 ◽

2010 ◽

Vol 32 (3) ◽

pp. 1346-1360 ◽

Cited By ~ 25

Author(s):

Haibiao Zheng ◽

Yanren Hou ◽

Feng Shi

Keyword(s):

Finite Elements ◽

Error Estimates ◽

Incompressible Flow ◽

A Posteriori Error Estimates ◽

Mixed Finite Elements ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Low Order

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Weakly Symmetric Mixed Finite Elements for Linear Elasticity

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications - ENUMATH 2013 ◽

10.1007/978-3-319-10705-9_1 ◽

2014 ◽

pp. 3-18 ◽

Cited By ~ 2

Author(s):

Rolf Stenberg

Keyword(s):

Finite Elements ◽

Linear Elasticity ◽

Mixed Finite Elements ◽

Weakly Symmetric

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Nonlinear analysis of frames using low-order mixed finite elements

Incorporating Sustainable Practice in Mechanics and Structures of Materials ◽

10.1201/b10571-20 ◽

2010 ◽

pp. 111-115

Author(s):

J Petrolito ◽

K Legge

Keyword(s):

Finite Elements ◽

Nonlinear Analysis ◽

Mixed Finite Elements ◽

Low Order

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Stabilization of Low-order Mixed Finite Elements for the Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142905444482 ◽

2006 ◽

Vol 44 (1) ◽

pp. 82-101 ◽

Cited By ~ 282

Author(s):

Pavel B. Bochev ◽

Clark R. Dohrmann ◽

Max D. Gunzburger

Keyword(s):

Finite Elements ◽

Stokes Equations ◽

Mixed Finite Elements ◽

Low Order

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Unified analysis for stabilized methods of low-order mixed finite elements for stationary Navier-Stokes equations

Applied Mathematics and Mechanics ◽

10.1007/s10483-013-1720-9 ◽

2013 ◽

Vol 34 (8) ◽

pp. 953-970 ◽

Cited By ~ 3

Author(s):

Gang Chen ◽

Min-fu Feng ◽

Yin-nian He

Keyword(s):

Finite Elements ◽

Stokes Equations ◽

Mixed Finite Elements ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Methods ◽

Stationary Navier Stokes Equations ◽

Low Order

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