H_k-GenEO constructs spectral coarse spaces from indefinite local eigenproblems to precondition highly indefinite PDEs, providing sufficient conditions for GMRES robustness and observed practical stability as k grows.
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Introduces and analyzes the Δ_k-GenEO coarse space for Helmholtz problems, sharpening k-explicit GMRES convergence conditions and demonstrating scalability and robustness for low to moderate frequencies via numerical experiments.
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Spectral coarse spaces based on indefinite operators: the $H_k$-GenEO method
H_k-GenEO constructs spectral coarse spaces from indefinite local eigenproblems to precondition highly indefinite PDEs, providing sufficient conditions for GMRES robustness and observed practical stability as k grows.