Locking-Free Hybridized Fem for Incompressible Linear Elasticity Problem

Faria, Cristiane Oliveira de; Santos, Antonio José Boness dos; Loula, Abimael F. D.

doi:10.20906/cps/cilamce2015-0497

Cited by 2 publications

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“…In this paper, we extend the studies presented in [16][17][18] considering a primal Stabilized Hybrid Discontinuous Galerkin (SHDG) method, for the nearly incompressible linear elasticity problem using triangular elements. The multiplier, identified with the trace of the displacement field, is interpolated discontinuously.…”

Section: Introductionmentioning

confidence: 88%

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

Santos

Faria

Loula

2018

Tend. Mat. Apl. Comput.

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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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Section: Introductionmentioning

confidence: 88%

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

Santos

Faria

Loula

2018

Tend. Mat. Apl. Comput.

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“…In this paper, we use a primal Stabilized Hybrid DG (SHDG) method, based in [4,5], for the linear elasticity problem considering triangular elements. The multiplier, identified with the trace of the displacement field, is interpolated discontinuously.…”

mentioning

confidence: 99%

A Stabilized Hybrid Discontinuous Galerkin method for linear elasticity problem

Santos¹,

Faria²,

Loula³

2017

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics

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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.

show abstract

Locking-Free Hybridized Fem for Incompressible Linear Elasticity Problem

Cited by 2 publications

References 0 publications

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

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

A Stabilized Hybrid Discontinuous Galerkin method for linear elasticity problem

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