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.
@article{arxiv.1102.0642,
title = {Domain decomposition schemes for the Stokes equation},
author = {Petr N. Vabishchevich},
journal= {arXiv preprint arXiv:1102.0642},
year = {2011}
}