Robust BPX preconditioner for the integral fractional Laplacian on bounded domains

03/23/2021

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We propose and analyze a robust BPX preconditioner for the integral fractional Laplacian on bounded domains. For either quasi-uniform grids or graded bisection grids, we show that the condition numbers of the resulting systems remain uniformly bounded with respect to both the number of levels and the fractional power.

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Robust BPX preconditioner for the integral fractional Laplacian on bounded domains

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