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
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/}
}
TY - JOUR AU - Nicaise, Serge AU - Creusé, Emmanuel TI - Isotropic and anisotropic a posteriori error estimation of the mixed finite element method for second order operators in divergence form JO - Electronic transactions on numerical analysis PY - 2006 SP - 38 EP - 62 VL - 23 UR - http://geodesic.mathdoc.fr/item/ETNA_2006__23__a16/ LA - en ID - ETNA_2006__23__a16 ER -
%0 Journal Article %A Nicaise, Serge %A Creusé, Emmanuel %T Isotropic and anisotropic a posteriori error estimation of the mixed finite element method for second order operators in divergence form %J Electronic transactions on numerical analysis %D 2006 %P 38-62 %V 23 %U http://geodesic.mathdoc.fr/item/ETNA_2006__23__a16/ %G en %F ETNA_2006__23__a16
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/