Domain decomposition schemes for the Stokes equation

Details Domain decomposition schemes for the Stokes equation Domain decomposition schemes for the Stokes equation

2011-02-03

arxiv.org/abs/1102.0642v1

Computer Science

Numerical Analysis

Scientific paper

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.

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