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

Autor:	Cristiane Oliveira de Faria, Antonio José Boness dos Santos, Abimael F. D. Loula
Rok vydání:	2018
Předmět:	Linear elasticity 01 natural sciences Finite element method Displacement (vector) 010101 applied mathematics symbols.namesake Discontinuous Galerkin method Norm (mathematics) Lagrange multiplier Convergence (routing) Displacement field symbols Applied mathematics 0101 mathematics Mathematics
Zdroj:	TEMA (São Carlos). 18:467
ISSN:	2179-8451 1677-1966
DOI:	10.5540/tema.2017.018.03.467
Popis:	In this work, a primal hybrid finite element method for nearly incom pressible 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.
Databáze:	OpenAIRE
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