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. Multigrid algorithms are developed to solve the discrete systems approximatingthe solutions of operator equations involving pseudo-differential operators of order minus one.Classical multigrid theory deals with the case of differential operators of positive order. Thepseudo-differential operator gives rise to a coercive form on H\Gamma1=2(\Omega\Gamma0Effective multigridalgorithms are developed for this problem. These algorithms are novel in that they use theinner product on H...

The Analysis of Multigrid Algorithms for Pseudodifferential Operators of Order Minus One