Solution of the Stokes problem with parameter by the use of iteration of boundary conditions
Numerical methods and programming, Tome 6 (2005) no. 1, pp. 304-314
Voir la notice de l'article provenant de la source Math-Net.Ru
An iterative method for solving the Stokes problem with parameter in a rectangular domain is proposed and
substantiated. The convergence rate of the method does not depend on the parameter and on the ratio of the rectangle sides. Some numerical results are discussed for a test problem on a cavern.
Keywords:
Stokes problem with parameter, iteration of boundary conditions, uniform parametric convergence.
@article{VMP_2005_6_1_a29,
author = {A. V. Kargin},
title = {Solution of the {Stokes} problem with parameter by the use of iteration of boundary conditions},
journal = {Numerical methods and programming},
pages = {304--314},
publisher = {mathdoc},
volume = {6},
number = {1},
year = {2005},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a29/}
}
TY - JOUR AU - A. V. Kargin TI - Solution of the Stokes problem with parameter by the use of iteration of boundary conditions JO - Numerical methods and programming PY - 2005 SP - 304 EP - 314 VL - 6 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a29/ LA - ru ID - VMP_2005_6_1_a29 ER -
A. V. Kargin. Solution of the Stokes problem with parameter by the use of iteration of boundary conditions. Numerical methods and programming, Tome 6 (2005) no. 1, pp. 304-314. http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a29/