Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8901936 | Journal of Computational and Applied Mathematics | 2018 | 13 Pages |
Abstract
In this paper we introduce the notion of Rν-generalized solution to the Stokes problem with singularity in a non-convex polygonal domain with one reentrant corner of 3Ï2 on its boundary. The weighted analogue of the Ladyzhenskaya-BabusÌka-Brezzi condition is proved. A new weighted finite element method is constructed. Results of numerical experiments have shown the efficiency of the method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Viktor A. Rukavishnikov, Alexey V. Rukavishnikov,