Geodesic
Some mixed finite element methods on anisotropic meshes
Farhloul, Mohamed  ; Nicaise, Serge1  ; Paquet, Luc 
1 Université de Valenciennes et du Hainaut Cambrésis, MACS, Le Mont Houy, 59313 Valenciennes Cedex 9, France. http://www.univ-valenciennes.fr/macs/Serge.Nicaise
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 35 (2001) no. 5, pp. 907-920

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

The paper deals with some mixed finite element methods on a class of anisotropic meshes based on tetrahedra and prismatic (pentahedral) elements. Anisotropic local interpolation error estimates are derived in some anisotropic weighted Sobolev spaces. As particular applications, the numerical approximation by mixed methods of the Laplace equation in domains with edges is investigated where anisotropic finite element meshes are appropriate. Optimal error estimates are obtained using some anisotropic regularity results of the solutions.

Classification : 65N30, 65N15, 65N50, 65D05
Keywords: anisotropic mesh, Raviart-Thomas element, anisotropic interpolation error estimate, Laplace equation, edge singularity, mixed FEM

Farhloul, Mohamed  ; Nicaise, Serge 1 ; Paquet, Luc 

1 Université de Valenciennes et du Hainaut Cambrésis, MACS, Le Mont Houy, 59313 Valenciennes Cedex 9, France. http://www.univ-valenciennes.fr/macs/Serge.Nicaise 
@article{M2AN_2001__35_5_907_0,
     author = {Farhloul, Mohamed and Nicaise, Serge and Paquet, Luc},
     title = {Some mixed finite element methods on anisotropic meshes},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {907--920},
     publisher = {EDP-Sciences},
     volume = {35},
     number = {5},
     year = {2001},
     mrnumber = {1866274},
     zbl = {0990.65129},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/M2AN_2001__35_5_907_0/}
}
TY  - JOUR
AU  - Farhloul, Mohamed
AU  - Nicaise, Serge
AU  - Paquet, Luc
TI  - Some mixed finite element methods on anisotropic meshes
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2001
SP  - 907
EP  - 920
VL  - 35
IS  - 5
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/item/M2AN_2001__35_5_907_0/
LA  - en
ID  - M2AN_2001__35_5_907_0
ER  - 
%0 Journal Article
%A Farhloul, Mohamed
%A Nicaise, Serge
%A Paquet, Luc
%T Some mixed finite element methods on anisotropic meshes
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2001
%P 907-920
%V 35
%N 5
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/item/M2AN_2001__35_5_907_0/
%G en
%F M2AN_2001__35_5_907_0
Farhloul, Mohamed; Nicaise, Serge; Paquet, Luc. Some mixed finite element methods on anisotropic meshes. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 35 (2001) no. 5, pp. 907-920. http://geodesic.mathdoc.fr/item/M2AN_2001__35_5_907_0/