A mesh-dependent norm analysis of low-order mixed finite element for elasticity with weakly symmetric stress

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A mesh-dependent norm analysis of low-order mixed finite element for elasticity with weakly symmetric stress. / Juntunen, Mika; Lee, Jeonghun.

In: Mathematical Models and Methods in Applied Sciences, Vol. 24, No. 11, 2014, p. 2155-2169.

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@article{03ed18d15ce34d5caa00a10027ebfa52,
title = "A mesh-dependent norm analysis of low-order mixed finite element for elasticity with weakly symmetric stress",
abstract = "We consider mixed finite elements for linear elasticity with weakly symmetric stress. We propose a low-order three-dimensional rectangular element with optimal O(h) rate of convergence for all the unknowns. The element is a rectangular analogue of the simplified Arnold-Falk-Winther element. Instead of the elasticity complex approach, our stability analysis is based on new mesh-dependent norms.",
keywords = "error analysis, finite element method, Linear elasticity, mesh-dependent norm, rectangular element, weakly symmetric stress",
author = "Mika Juntunen and Jeonghun Lee",
year = "2014",
doi = "10.1142/S0218202514500171",
language = "English",
volume = "24",
pages = "2155--2169",
journal = "Mathematical Models and Methods in Applied Sciences",
issn = "0218-2025",
publisher = "World Scientific Publishing Co.",
number = "11",

}

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TY - JOUR

T1 - A mesh-dependent norm analysis of low-order mixed finite element for elasticity with weakly symmetric stress

AU - Juntunen, Mika

AU - Lee, Jeonghun

PY - 2014

Y1 - 2014

N2 - We consider mixed finite elements for linear elasticity with weakly symmetric stress. We propose a low-order three-dimensional rectangular element with optimal O(h) rate of convergence for all the unknowns. The element is a rectangular analogue of the simplified Arnold-Falk-Winther element. Instead of the elasticity complex approach, our stability analysis is based on new mesh-dependent norms.

AB - We consider mixed finite elements for linear elasticity with weakly symmetric stress. We propose a low-order three-dimensional rectangular element with optimal O(h) rate of convergence for all the unknowns. The element is a rectangular analogue of the simplified Arnold-Falk-Winther element. Instead of the elasticity complex approach, our stability analysis is based on new mesh-dependent norms.

KW - error analysis

KW - finite element method

KW - Linear elasticity

KW - mesh-dependent norm

KW - rectangular element

KW - weakly symmetric stress

UR - http://www.scopus.com/inward/record.url?scp=84905900208&partnerID=8YFLogxK

U2 - 10.1142/S0218202514500171

DO - 10.1142/S0218202514500171

M3 - Article

VL - 24

SP - 2155

EP - 2169

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

SN - 0218-2025

IS - 11

ER -

ID: 9544820