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

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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/}
}
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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/