A Stabilized Hybrid Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity Problem

A Stabilized Hybrid Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity Problem

ABSTRACT In this work, a primal hybrid finite element method for nearly incompressible linear elasticity problem on triangular meshes is shown. This method consists of coupling local discontinuous Galerkin problems to the primal variable with a global problem for the Lagrange multiplier, which is identified as the trace of the displacement field. Also, a local post-processing technique is used to recover stress approximations with improved rates of convergence in H(div) norm. Numerical studies show that the method is locking free even using equal or different orders for displacement and stress fields and optimal convergence rates are obtained.

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Main Authors: SANTOS,A.J.B. DOS, FARIA,C.O., LOULA,A.F.D.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Matemática Aplicada e Computacional 2017
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512017000300467
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spelling oai:scielo:S2179-845120170003004672018-02-08A Stabilized Hybrid Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity ProblemSANTOS,A.J.B. DOSFARIA,C.O.LOULA,A.F.D. linear elasticity discontinuous Galerkin method stabilization hybrid method locking free ABSTRACT In this work, a primal hybrid finite element method for nearly incompressible linear elasticity problem on triangular meshes is shown. This method consists of coupling local discontinuous Galerkin problems to the primal variable with a global problem for the Lagrange multiplier, which is identified as the trace of the displacement field. Also, a local post-processing technique is used to recover stress approximations with improved rates of convergence in H(div) norm. Numerical studies show that the method is locking free even using equal or different orders for displacement and stress fields and optimal convergence rates are obtained.info:eu-repo/semantics/openAccessSociedade Brasileira de Matemática Aplicada e ComputacionalTEMA (São Carlos) v.18 n.3 20172017-12-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512017000300467en10.5540/tema.2017.018.03.0467
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collection OJS
country Brasil
countrycode BR
component Revista
access En linea
databasecode rev-scielo-br
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author SANTOS,A.J.B. DOS
FARIA,C.O.
LOULA,A.F.D.
spellingShingle SANTOS,A.J.B. DOS
FARIA,C.O.
LOULA,A.F.D.
A Stabilized Hybrid Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity Problem
author_facet SANTOS,A.J.B. DOS
FARIA,C.O.
LOULA,A.F.D.
author_sort SANTOS,A.J.B. DOS
title A Stabilized Hybrid Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity Problem
title_short A Stabilized Hybrid Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity Problem
title_full A Stabilized Hybrid Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity Problem
title_fullStr A Stabilized Hybrid Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity Problem
title_full_unstemmed A Stabilized Hybrid Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity Problem
title_sort stabilized hybrid discontinuous galerkin method for nearly incompressible linear elasticity problem
description ABSTRACT In this work, a primal hybrid finite element method for nearly incompressible linear elasticity problem on triangular meshes is shown. This method consists of coupling local discontinuous Galerkin problems to the primal variable with a global problem for the Lagrange multiplier, which is identified as the trace of the displacement field. Also, a local post-processing technique is used to recover stress approximations with improved rates of convergence in H(div) norm. Numerical studies show that the method is locking free even using equal or different orders for displacement and stress fields and optimal convergence rates are obtained.
publisher Sociedade Brasileira de Matemática Aplicada e Computacional
publishDate 2017
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512017000300467
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