A numerical method for solving the Oseen-type problem in an $L$-shaped domain

Authors

  • A.V. Rukavishnikov Institute of Applied Mathematics of FEB RAS

DOI:

https://doi.org/10.26089/NumMet.v19r106

Keywords:

Oseen problem with singularity, weighted finite element method

Abstract

In this paper we introduce the notion of an Rν-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.

Author Biography

A.V. Rukavishnikov

References

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Published

21-02-2018

How to Cite

Рукавишников А.В. A Numerical Method for Solving the Oseen-Type Problem in an $L$-Shaped Domain // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2018. 19. 63-71. doi 10.26089/NumMet.v19r106

Issue

Section

Section 1. Numerical methods and applications