An Iterative Solution Method for the Stokes Problem with Variable Viscosity / Grinevich P.P. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. № 3. P. 42-43 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 119-122].
An iterative method for efficient solution of the Stokes problem with a variable viscosity is considered. A preconditioner for the Shur complement is constructed taking into account the variable viscosity. The efficiency analysis is given. An application of the preconditioner for solving one problem of the mantle convection modeling is considered.
iterative methods, saddle-point problem, variable viscosity.