Geodesic
A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 40 (2006) no. 5, pp. 843-869

Voir la notice de l'article provenant de la source Numdam

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.

DOI : 10.1051/m2an:2006036
Classification : 65N15, 65N30, 65N50, 74B05
Keywords: mixed finite element, augmented formulation, a posteriori error estimator, linear elasticity 
@article{M2AN_2006__40_5_843_0,
     author = {Barrios, Tom\'as P. and Gatica, Gabriel N. and Gonz\'alez, Mar{\'\i}a and Heuer, Norbert},
     title = {A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {843--869},
     publisher = {EDP-Sciences},
     volume = {40},
     number = {5},
     year = {2006},
     doi = {10.1051/m2an:2006036},
     mrnumber = {2293249},
     zbl = {1109.74047},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2006036/}
}
TY  - JOUR
AU  - Barrios, Tomás P.
AU  - Gatica, Gabriel N.
AU  - González, María
AU  - Heuer, Norbert
TI  - A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2006
SP  - 843
EP  - 869
VL  - 40
IS  - 5
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2006036/
DO  - 10.1051/m2an:2006036
LA  - en
ID  - M2AN_2006__40_5_843_0
ER  - 
%0 Journal Article
%A Barrios, Tomás P.
%A Gatica, Gabriel N.
%A González, María
%A Heuer, Norbert
%T A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2006
%P 843-869
%V 40
%N 5
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2006036/
%R 10.1051/m2an:2006036
%G en
%F M2AN_2006__40_5_843_0
Barrios, Tomás P.; Gatica, Gabriel N.; González, María; Heuer, Norbert. A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 40 (2006) no. 5, pp. 843-869. doi: 10.1051/m2an:2006036

Cité par Sources :