Two sides tangential filtering decomposition
Journal of Computational and Applied Mathematics
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In this paper, we present a preconditioner for large systems of linear equations based on the block decomposition for block-tridiagonal matrices. This decomposition is in many respects similar to the frequency-filtering method of Wittum [18] and also to the frequency-filtering decomposition of Wagner [4]–[6]. In contrast to these methods, our approach requires no pointwise filtering conditions but, as in [1], only averaged ones; this simplifies the implementation without any loss of efficiency. Theoretical analysis of the model problem leads to the convergence rate *** inline equation ***. Numerical experiments demonstrate similar convergence behaviour for a wider class of problems.