Deriving a new domain decomposition method for the Stokes equations using the Smith factorization
نویسندگان
چکیده
منابع مشابه
Deriving a new domain decomposition method for the Stokes equations using the Smith factorization
In this paper the Smith factorization is used systematically to derive a new domain decomposition method for the Stokes problem. In two dimensions the key idea is the transformation of the Stokes problem into a scalar bi-harmonic problem. We show, how a proposed domain decomposition method for the bi-harmonic problem leads to a domain decomposition method for the Stokes equations which inherits...
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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 of 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 cou...
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A certain domain decomposition iterative algorithm for the Stokes equations is considered. The aim of the present paper is to study relationships between the convergence speed of iteration and the shapes of subdomains. Our consideration is restricted to the continuous problem and to the case in which the whole domain is divided into two non-overlapping subdomains. Then, introducing a certain ge...
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In this work we design a new domain decomposition method for the Euler equations in 2 dimensions. The basis is the equivalence via the Smith factorization with a third order scalar equation to whom we can apply an algorithm inspired from the Robin-Robin preconditioner for the convectiondiffusion equation. Afterwards we translate it into an algorithm for the initial system and prove that at the ...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2008
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-08-02172-8