Scientific journal

ISSN 1814-2400

INFORMATION SCIENCE AND CONTROL SYSTEMS

Rukavishnikov A. V., Rukavishnikov V. A.

COMPARATIVE NUMERICAL ANALYSIS OF METHODS FOR SOLVING THE STOKES PROBLEM IN A DOMAIN WITH SINGULARITY

For the Stokes problem in the domain with singularity on the boundary, we constructed a weight finite element method based on the definition of Rν-generalized solution. Numerical experiments in the L-shaped domain showed the advantage of the constructed method over the classical approaches. The conclusions were drawn here as well.

Keywords: the Stokes problem with singularity, weight finite element method