Two sides tangential filtering decomposition
نویسندگان
چکیده
منابع مشابه
Two sides tangential filtering decomposition
In this paper, left and two sides tangential filtering decompositions are introduced. The filtering preconditioner constructed by the decomposition is combined with classical ILU(0) preconditioner in multiplicative ways to produce composite preconditioners. Analysis show that the composite preconditioners benefit from each of the preconditioners. On the filtering vector, we reveal that ones is ...
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For unsymmetric block-tridiagonal systems of linear equations arising from the discretization of partial differential equations, a composite preconditioner is proposed and tested. It combines a classical ILU0 factorization for high frequencies with a tangential filtering preconditioner. The choice of the filtering vector is important: the test-vector is the Ritz eigenvector corresponding to the...
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For block-tridiagonal linear system of equations, a variant of tangential filtering preconditioners is proposed in this paper. The new variant is based on a twisted block factorization along with certain filtering property. For practical usage, a class of composite preconditioners tested, which are constructed by combining the twisted tangential filtering decomposition preconditioner with the c...
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We present a modification of a tangential frequency filtering decomposition (TFFD) preconditioner [1]. The key idea is to add a “lumping term” ch whose influence can be determined by means of Fourier analysis [2, 3]. For the standard five-point stencil, we derive an optimal order q = 4 3 , and constant c = (2π) 4 3 . With the choice of optimal order of modification, the Fourier results show tha...
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This paper introduces a new preconditioning technique that is suitable for matrices arising from the discretization of a system of PDEs on unstructured grids. The preconditioner satisfies a so-called filtering property, which ensures that the input matrix is identical with the preconditioner on a given filtering vector. This vector is chosen to alleviate the effect of low frequency modes on con...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2011
ISSN: 0377-0427
DOI: 10.1016/j.cam.2010.11.016