On the validity of the local Fourier analysis

Carmen Rodrigo; Francisco J. Gaspar; Ludmil T. Zikatanov

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arXiv · 1710.00408

On the validity of the local Fourier analysis

Carmen Rodrigo·Francisco J. Gaspar·Ludmil T. Zikatanov

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Abstract

Local Fourier analysis (LFA) is a useful tool in predicting the convergence factors of geometric multigrid methods (GMG). As is well known, on rectangular domains with periodic boundary conditions this analysis gives the exact convergence factors of such methods. In this work, using the Fourier method, we extend these results by proving that such analysis yields the exact convergence factors for a wider class of problems.

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Carmen Rodrigo, Francisco J. Gaspar, Ludmil T. Zikatanov. 2017-10-08. On the validity of the local Fourier analysis. https://arxiv.org/abs/1710.00408

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