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

Weifeng Qiu; Leszek Demkowicz

doi:10.1016/j.cma.2009.07.010

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

Weifeng Qiu
, Leszek Demkowicz

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

35 Citations (Scopus)

Abstract

The paper presents a generalization of Arnold-Falk-Winther elements to meshes with elements of variable order. The formulation is straightforward but the stability analysis involves a non-trivial modification of interpolation operators. The analysis addresses only h-convergence but the presented numerical results indicate p-convergence as well.

Original language	English
Pages (from-to)	3682-3701
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	198
Issue number	47-48
DOIs	https://doi.org/10.1016/j.cma.2009.07.010
Publication status	Published - 1 Oct 2009
Externally published	Yes

Research Keywords

Elasticity
hp elements
Mixed formulation

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10.1016/j.cma.2009.07.010

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title = "Mixed hp-finite element method for linear elasticity with weakly imposed symmetry",

abstract = "The paper presents a generalization of Arnold-Falk-Winther elements to meshes with elements of variable order. The formulation is straightforward but the stability analysis involves a non-trivial modification of interpolation operators. The analysis addresses only h-convergence but the presented numerical results indicate p-convergence as well.",

keywords = "Elasticity, hp elements, Mixed formulation",

author = "Weifeng Qiu and Leszek Demkowicz",

year = "2009",

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day = "1",

doi = "10.1016/j.cma.2009.07.010",

language = "English",

volume = "198",

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journal = "Computer Methods in Applied Mechanics and Engineering",

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T1 - Mixed hp-finite element method for linear elasticity with weakly imposed symmetry

AU - Qiu, Weifeng

AU - Demkowicz, Leszek

PY - 2009/10/1

Y1 - 2009/10/1

N2 - The paper presents a generalization of Arnold-Falk-Winther elements to meshes with elements of variable order. The formulation is straightforward but the stability analysis involves a non-trivial modification of interpolation operators. The analysis addresses only h-convergence but the presented numerical results indicate p-convergence as well.

AB - The paper presents a generalization of Arnold-Falk-Winther elements to meshes with elements of variable order. The formulation is straightforward but the stability analysis involves a non-trivial modification of interpolation operators. The analysis addresses only h-convergence but the presented numerical results indicate p-convergence as well.

KW - Elasticity

KW - hp elements

KW - Mixed formulation

UR - https://www.scopus.com/pages/publications/70349419646

UR - https://www.scopus.com/pages/publications/70349419646#tab=impact

U2 - 10.1016/j.cma.2009.07.010

DO - 10.1016/j.cma.2009.07.010

M3 - RGC 21 - Publication in refereed journal

SN - 0045-7825

VL - 198

SP - 3682

EP - 3701

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 47-48

ER -

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

Abstract

Research Keywords

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