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

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

Authors

  • A.V. Rukavishnikov

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.

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Published

2018-02-21

Issue

Vol. 19 (2018): Issue 1.

Section

Section 1. Numerical methods and applications

Author Biography

A.V. Rukavishnikov

Institute of Applied Mathematics of FEB RAS, Khabarovsk Division
• Leading Researcher

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