Geodesic
Efficient numerical solution of mixed finite element discretizations by adaptive multilevel methods
Applications of Mathematics, Tome 40 (1995) no. 3, pp. 227-248

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We consider mixed finite element discretizations of second order elliptic boundary value problems. Emphasis is on the efficient iterative solution by multilevel techniques with respect to an adaptively generated hierarchy of nonuniform triangulations. In particular, we present two multilevel solvers, the first one relying on ideas from domain decomposition and the second one resulting from mixed hybridization. Local refinement of the underlying triangulations is done by efficient and reliable a posteriori error estimators which can be derived by a defect correction in higher order ansatz spaces or by taking advantage of superconvergence results. The performance of the algorithms is illustrated by several numerical examples.
DOI : 10.21136/AM.1995.134292
Classification : 35J25, 65F10, 65N12, 65N15, 65N30, 65N50, 65N55
Keywords: elliptic boundary value problems; mixed finite element methods; adaptive multilevel techniques 
@article{10_21136_AM_1995_134292,
     author = {Hoppe, Ronald H.W. and Wohlmuth, Barbara},
     title = {Efficient numerical solution of mixed finite element discretizations by adaptive multilevel methods},
     journal = {Applications of Mathematics},
     pages = {227--248},
     publisher = {mathdoc},
     volume = {40},
     number = {3},
     year = {1995},
     doi = {10.21136/AM.1995.134292},
     mrnumber = {1332315},
     zbl = {0833.65131},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1995.134292/}
}
TY  - JOUR
AU  - Hoppe, Ronald H.W.
AU  - Wohlmuth, Barbara
TI  - Efficient numerical solution of mixed finite element discretizations by adaptive multilevel methods
JO  - Applications of Mathematics
PY  - 1995
SP  - 227
EP  - 248
VL  - 40
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1995.134292/
DO  - 10.21136/AM.1995.134292
LA  - en
ID  - 10_21136_AM_1995_134292
ER  - 
%0 Journal Article
%A Hoppe, Ronald H.W.
%A Wohlmuth, Barbara
%T Efficient numerical solution of mixed finite element discretizations by adaptive multilevel methods
%J Applications of Mathematics
%D 1995
%P 227-248
%V 40
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1995.134292/
%R 10.21136/AM.1995.134292
%G en
%F 10_21136_AM_1995_134292
Hoppe, Ronald H.W.; Wohlmuth, Barbara. Efficient numerical solution of mixed finite element discretizations by adaptive multilevel methods. Applications of Mathematics, Tome 40 (1995) no. 3, pp. 227-248. doi: 10.21136/AM.1995.134292

Cité par Sources :