From the Hu-Washizu formulation to the average nodal strain formulation

Bishnu P. Lamichhane

doi:10.1016/j.cma.2009.09.008

From the Hu-Washizu formulation to the average nodal strain formulation

Bishnu P. Lamichhane^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

We present a stabilized finite element method for the Hu-Washizu formulation of linear elasticity based on simplicial meshes leading to the stabilized nodal strain formulation or node-based uniform strain elements. We show that the finite element approximation converges uniformly to the exact solution for the nearly incompressible case.

Original language	English
Pages (from-to)	3957-3961
Number of pages	5
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	198
Issue number	49-52
DOIs	https://doi.org/10.1016/j.cma.2009.09.008
Publication status	Published - 1 Nov 2009

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title = "From the Hu-Washizu formulation to the average nodal strain formulation",

abstract = "We present a stabilized finite element method for the Hu-Washizu formulation of linear elasticity based on simplicial meshes leading to the stabilized nodal strain formulation or node-based uniform strain elements. We show that the finite element approximation converges uniformly to the exact solution for the nearly incompressible case.",

keywords = "Average nodal strain, Mixed finite elements, Nearly incompressible elasticity, Primal and dual meshes",

author = "Lamichhane, \{Bishnu P.\}",

year = "2009",

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T1 - From the Hu-Washizu formulation to the average nodal strain formulation

AU - Lamichhane, Bishnu P.

PY - 2009/11/1

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N2 - We present a stabilized finite element method for the Hu-Washizu formulation of linear elasticity based on simplicial meshes leading to the stabilized nodal strain formulation or node-based uniform strain elements. We show that the finite element approximation converges uniformly to the exact solution for the nearly incompressible case.

AB - We present a stabilized finite element method for the Hu-Washizu formulation of linear elasticity based on simplicial meshes leading to the stabilized nodal strain formulation or node-based uniform strain elements. We show that the finite element approximation converges uniformly to the exact solution for the nearly incompressible case.

KW - Average nodal strain

KW - Mixed finite elements

KW - Nearly incompressible elasticity

KW - Primal and dual meshes

UR - https://www.scopus.com/pages/publications/70350187113

U2 - 10.1016/j.cma.2009.09.008

DO - 10.1016/j.cma.2009.09.008

M3 - Article

SN - 0045-7825

VL - 198

SP - 3957

EP - 3961

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 49-52

ER -

From the Hu-Washizu formulation to the average nodal strain formulation

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