Geodesic
A numerical method for solving the Oseen-type problem in an $L$-shaped domain
Numerical methods and programming, Tome 19 (2018) no. 1, pp. 63-71.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we introduce the notion of an $R_{\nu}$-generalized solution to the Oseen-type problem in rotation form in a polygonal domain with a reentrant obtuse angle on its boundary. We propose a weighted finite element method to solve this problem approximately. A number of numerical experiments performed on a model problem in an $L$-shaped domain show the advantages of the proposed method.
Keywords: Oseen problem with singularity, weighted finite element method. 
@article{VMP_2018_19_1_a5,
     author = {A. V. Rukavishnikov},
     title = {A numerical method for solving the {Oseen-type} problem in an $L$-shaped domain},
     journal = {Numerical methods and programming},
     pages = {63--71},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2018_19_1_a5/}
}
TY  - JOUR
AU  - A. V. Rukavishnikov
TI  - A numerical method for solving the Oseen-type problem in an $L$-shaped domain
JO  - Numerical methods and programming
PY  - 2018
SP  - 63
EP  - 71
VL  - 19
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMP_2018_19_1_a5/
LA  - ru
ID  - VMP_2018_19_1_a5
ER  - 
%0 Journal Article
%A A. V. Rukavishnikov
%T A numerical method for solving the Oseen-type problem in an $L$-shaped domain
%J Numerical methods and programming
%D 2018
%P 63-71
%V 19
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMP_2018_19_1_a5/
%G ru
%F VMP_2018_19_1_a5
A. V. Rukavishnikov. A numerical method for solving the Oseen-type problem in an $L$-shaped domain. Numerical methods and programming, Tome 19 (2018) no. 1, pp. 63-71. http://geodesic.mathdoc.fr/item/VMP_2018_19_1_a5/