Domain decomposition schemes for the Stokes equation
Provides a numerical method for solving Stokes equations on parallel computers, relevant to computational fluid dynamics.
The paper develops unconditionally stable domain decomposition schemes for solving the Stokes system in primitive variables, using partition of unity and Hilbert spaces of grid functions for parallel computing.
Numerical algorithms for solving problems of mathematical physics on modern parallel computers employ various domain decomposition techniques. Domain decomposition schemes are developed here to solve numerically initial/boundary value problems for the Stokes system of equations in the primitive variables pressure-velocity. Unconditionally stable schemes of domain decomposition are based on the partition of unit for a computational domain and the corresponding Hilbert spaces of grid functions.