A Staggered Cell-Centered Finite Element Method for Compressible and Nearly-Incompressible Linear Elasticity on General Meshes

Thanh Hai Ong; Thi Thao Phuong Hoang; Stéphane P.A. Bordas; H. Nguyen-Xuan

doi:10.1137/140990103

A Staggered Cell-Centered Finite Element Method for Compressible and Nearly-Incompressible Linear Elasticity on General Meshes

SIAM Journal on Numerical Analysis ◽

10.1137/140990103 ◽

2015 ◽

Vol 53 (4) ◽

pp. 2051-2073 ◽

Cited By ~ 3

Author(s):

Thanh Hai Ong ◽

Thi Thao Phuong Hoang ◽

Stéphane P.A. Bordas ◽

H. Nguyen-Xuan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elasticity ◽

General Meshes ◽

Nearly Incompressible Linear Elasticity ◽

Element Method

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A low-order finite element method for three dimensional linear elasticity problems with general meshes

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.06.023 ◽

2017 ◽

Vol 74 (6) ◽

pp. 1379-1398 ◽

Cited By ~ 1

Author(s):

Thi-Thao-Phuong Hoang ◽

Duc Cam Hai Vo ◽

Thanh Hai Ong

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elasticity ◽

Three Dimensional ◽

Elasticity Problems ◽

General Meshes ◽

Element Method ◽

Low Order

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Simulating Compressible and Nearly-Incompressible Linear Elasticity Using an Efficient Parallel Scalable Matrix-Free High-Order Finite Element Method

10.23967/wccm-eccomas.2020.302 ◽

2021 ◽

Author(s):

A. Mehraban ◽

J. Thompson ◽

J. Brown ◽

R. Regueiro ◽

V. Barra ◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elasticity ◽

High Order ◽

Matrix Free ◽

Nearly Incompressible Linear Elasticity ◽

Element Method

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Matrix-Free Higher-Order Finite Element Method for Parallel Simulation of Compressible and Nearly-Incompressible Linear Elasticity on Unstructured Meshes

Computer Modeling in Engineering & Sciences ◽

10.32604/cmes.2021.017476 ◽

2021 ◽

Vol 129 (3) ◽

pp. 1283-1303

Author(s):

Arash Mehraban ◽

Henry Tufo ◽

Stein Sture ◽

Richard Regueiro

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elasticity ◽

Unstructured Meshes ◽

Parallel Simulation ◽

Higher Order ◽

Matrix Free ◽

Nearly Incompressible Linear Elasticity ◽

Element Method

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A conservative stable finite element method for Stokes flow and nearly incompressible linear elasticity on rectangular grid

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.04.011 ◽

2017 ◽

Vol 323 ◽

pp. 53-70

Author(s):

Yuyan Chen ◽

Shuo Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elasticity ◽

Stokes Flow ◽

Rectangular Grid ◽

Nearly Incompressible Linear Elasticity ◽

Element Method

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A primal discontinuous Petrov-Galerkin Finite Element Method for linear elasticity

PAMM ◽

10.1002/pamm.201710025 ◽

2017 ◽

Vol 17 (1) ◽

pp. 83-86

Author(s):

Tobias Steiner ◽

Peter Wriggers

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elasticity ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Element Method

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3Chapter Finite Element Method for Linear Elasticity

The Finite Element Method for Mechanics of Solids with ANSYS Applications ◽

10.1201/b11455-6 ◽

2011 ◽

pp. 69-96

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elasticity ◽

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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Mixed hp-finite element method for linear elasticity with weakly imposed symmetry

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2009.07.010 ◽

2009 ◽

Vol 198 (47-48) ◽

pp. 3682-3701 ◽

Cited By ~ 23

Author(s):

Weifeng Qiu ◽

Leszek Demkowicz

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elasticity ◽

Element Method ◽

Hp Finite Element

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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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High-dimensional finite element method for multiscale linear elasticity

IMA Journal of Numerical Analysis ◽

10.1093/imanum/dru033 ◽

2014 ◽

Vol 35 (3) ◽

pp. 1277-1314 ◽

Cited By ~ 7

Author(s):

Bingxing Xia ◽

Viet Ha Hoang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Linear Elasticity ◽

High Dimensional ◽

Dimensional Finite Element ◽

Element Method

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