On the development of iterative methods with boundary condition splitting for solving boundary and
initial-boundary value problems for the linearized and nonlinear Navier–Stokes equations
Abstract:
An overview is presented of considerable advances made in a direction initiated by A. A. Dorodnicyn in the
mid-1960s, which was found fruitful in the development of fundamentally new efficient methods for fluid dynamics problems. Most of the results described were obtained by the authors.
Key words:incompressible fluid, Navier–Stokes equations, Stokes and Stokes-type systems, Dirichlet boundary and
initial–boundary problems, iterative methods, splitting of boundary conditions, numerical implementations, spherical Couette flows.
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