Abstract
The adaptive filtering decompositions are based on the tangential frequency filtering decompositions (TFFD). During the iteration with a preliminary preconditioner, the adaptive test vector method calculates new test vectors for additional TFFDs. The adaptive test vector iterative method allows the combination of the tangential frequency decomposition and other iterative methods such as multi-grid. The connection with the TFFD improves the robustness of these iterative methods with respect to varying coefficients. Realistic numerical experiments confirm the efficiency of the presented algorithms.
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Wagner, C., Wittum, G. (1998). Filtering Decompositions with Respect to Adaptive Test Vectors. In: Hackbusch, W., Wittum, G. (eds) Multigrid Methods V. Lecture Notes in Computational Science and Engineering, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58734-4_19
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DOI: https://doi.org/10.1007/978-3-642-58734-4_19
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