Geodesic
The discrete Douglas Problem: theory and numerics
Paola Pozzi1
1Universität Duisburg-Essen, Germany
Interfaces and free boundaries, Tome 6 (2004) no. 2, pp. 219-252

Voir la notice de l'article provenant de la source EMS Press

DOI

We solve the problem of finding and justifying an optimal fully discrete finite element procedure for approximating annulus like, possibly unstable, minimal surfaces. In this paper we introduce the general framework, some preliminary estimates, develop the ideas used for the algorithm, and give the numerical results. Similarities and differences with respect to the fully discrete finite element procedure given by G.Dziuk and J.Hutchinson in the case of the classical Plateau Problem are also addressed. In a subsequent paper we prove convergence estimates.
DOI : 10.4171/ifb/98
Classification : 35-XX, 65-XX, 76-XX, 92-XX
Mots-clés : minimal surfaces, finite elements, order of convergence, Douglas Problem

Paola Pozzi  1

1 Universität Duisburg-Essen, Germany 
Paola Pozzi. The discrete Douglas Problem: theory and numerics. Interfaces and free boundaries, Tome 6 (2004) no. 2, pp. 219-252. doi: 10.4171/ifb/98
@article{10_4171_ifb_98,
     author = {Paola Pozzi},
     title = {The discrete {Douglas} {Problem:} theory and numerics},
     journal = {Interfaces and free boundaries},
     pages = {219--252},
     year = {2004},
     volume = {6},
     number = {2},
     doi = {10.4171/ifb/98},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/98/}
}
TY  - JOUR
AU  - Paola Pozzi
TI  - The discrete Douglas Problem: theory and numerics
JO  - Interfaces and free boundaries
PY  - 2004
SP  - 219
EP  - 252
VL  - 6
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ifb/98/
DO  - 10.4171/ifb/98
ID  - 10_4171_ifb_98
ER  - 
%0 Journal Article
%A Paola Pozzi
%T The discrete Douglas Problem: theory and numerics
%J Interfaces and free boundaries
%D 2004
%P 219-252
%V 6
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/98/
%R 10.4171/ifb/98
%F 10_4171_ifb_98

Cité par Sources :