A New Family of Efficient Conforming Mixed Finite Elements on Both Rectangular and Cuboid Meshes for Linear Elasticity in the Symmetric Formulation

SIAM Journal on Numerical Analysis ◽

10.1137/130945272 ◽

2015 ◽

Vol 53 (3) ◽

pp. 1438-1463 ◽

Author(s):

Jun Hu

Keyword(s):

Finite Elements ◽

Linear Elasticity ◽

Mixed Finite Elements ◽

Symmetric Formulation

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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 ◽

Author(s):

Yan-Ping Sun ◽

Shao-Chun Chen ◽

Yong-Qin Yang

Keyword(s):

Finite Elements ◽

Linear Elasticity ◽

Mixed Finite Elements

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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 ◽

Author(s):

Kwang Yeon Kim

Keyword(s):

Finite Elements ◽

Linear Elasticity ◽

Mixed Finite Elements ◽

Elasticity Problem ◽

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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 ◽

Author(s):

Dongyang Shi and Minghao Li

Keyword(s):

Finite Elements ◽

Linear Elasticity ◽

Mixed Finite Elements ◽

Elasticity Problem

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A new family of mixed finite elements in ?3

Numerische Mathematik ◽

10.1007/bf01389668 ◽

1986 ◽

Vol 50 (1) ◽

pp. 57-81 ◽

Author(s):

J. C. N�d�lec

Keyword(s):

Finite Elements ◽

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 ◽

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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A family of mixed finite elements for linear elasticity

Numerische Mathematik ◽

10.1007/bf01389334 ◽

1989 ◽

Vol 55 (6) ◽

pp. 633-666 ◽

Author(s):

Mary E. Morley

Keyword(s):

Finite Elements ◽

Linear Elasticity ◽

Mixed Finite Elements

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A new family of stable mixed finite elements for the 3D Stokes equations

Mathematics of Computation ◽

10.1090/s0025-5718-04-01711-9 ◽

2004 ◽

Vol 74 (250) ◽

pp. 543-555 ◽

Author(s):

Shangyou Zhang

Keyword(s):

Finite Elements ◽

Stokes Equations ◽

Mixed Finite Elements ◽

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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 ◽

Author(s):

Rolf Stenberg

Keyword(s):

Finite Elements ◽

Linear Elasticity ◽

Mixed Finite Elements ◽

Weakly Symmetric

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A family of symmetric mixed finite elements for linear elasticity on tetrahedral grids

Science China Mathematics ◽

10.1007/s11425-014-4953-5 ◽

2014 ◽

Vol 58 (2) ◽

pp. 297-307 ◽

Author(s):

Jun Hu ◽

ShangYou Zhang

Keyword(s):

Finite Elements ◽

Linear Elasticity ◽

Mixed Finite Elements ◽

Tetrahedral Grids

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Nonconforming mixed finite elements for linear elasticity on simplicial grids

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22321 ◽

2018 ◽

Vol 35 (2) ◽

pp. 716-732

Author(s):

Jun Hu ◽

Rui Ma

Keyword(s):

Finite Elements ◽

Linear Elasticity ◽

Mixed Finite Elements

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