Isotropic and anisotropic a posteriori error estimation of the mixed finite element method for second order operators in divergence form
Electronic transactions on numerical analysis, Tome 23 (2006), pp. 38-62
This paper presents an a posteriori residual error estimator for the mixed FEM of second order operators using isotropic or anisotropic meshes in , or . The reliability and efficiency of our estimator is $\sterling $#############$\ddot $§$\copyright $ established without any regularity assumptions on the solution of our problem.
Classification : 65N15, 65N30
Keywords: error estimator, stretched elements, mixed FEM, anisotropic solution
@article{ETNA_2006__23__a16,
     author = {Nicaise,  Serge and Creus\'e,  Emmanuel},
     title = {Isotropic and anisotropic a posteriori error estimation of the mixed finite element method for second order operators in divergence form},
     journal = {Electronic transactions on numerical analysis},
     pages = {38--62},
     year = {2006},
     volume = {23},
     zbl = {1112.65111},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__23__a16/}
}
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%J Electronic transactions on numerical analysis
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Nicaise,  Serge; Creusé,  Emmanuel. Isotropic and anisotropic a posteriori error estimation of the mixed finite element method for second order operators in divergence form. Electronic transactions on numerical analysis, Tome 23 (2006), pp. 38-62. http://geodesic.mathdoc.fr/item/ETNA_2006__23__a16/