Construction of a New Domain Decomposition Method for the Stokes Equations
We propose a new domain decomposition method for the Stokes equations in two and three dimensions. The algorithm, we propose, is very similar to an algorithm which is obtained by a Richardson iteration for the Schur complement equation using a Neumann-Neumann preconditioner. A comparison of both methods with the help of a Fourier analysis shows clearly the advantage of the new approach. This has also been validated by numerical experiments.
KeywordsStokes Equation Domain Decomposition Stokes Problem Stokes System Domain Decomposition Method
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