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Title: A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity
Authors: Barrios, TP
Gatica, GN
González, M
Heuer, N
Keywords: Mixed finite element;Augmented formulation;A posteriori error estimator;Linear elasticity
Issue Date: 2007
Publisher: EDP Sciences
Citation: ESAIM: Mathematical Modelling and Numerical Analysis (M2AN), 40(5): 843-869, Jan 2007
Abstract: In this paper we develop a residual based a posteriori error analysis for an augmented mixed finite element method applied to the problem of linear elasticity in the plane. More precisely, we derive a reliable and efficient a posteriori error estimator for the case of pure Dirichlet boundary conditions. In addition, several numerical experiments confirming the theoretical properties of the estimator, and illustrating the capability of the corresponding adaptive algorithm to localize the singularities and the large stress regions of the solution, are also reported
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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