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Generalised Eigenvalue

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Spectral coarse spaces based on indefinite operators: the $H_k$-GenEO method

arXiv:2605.31552v1 Announce Type: new Abstract: GenEO (`Generalised Eigenvalue problems on the Overlap') is a method for constructing coarse spaces used in the preconditioning of iterative solvers for discrete PDEs. This method combines a (small) number of modes of local PDE eigenproblems to obtain a global coarse space. A coarse solve is then combined with local solves of the global PDE to obtain the preconditioner.

arXiv CS 9d ago