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A two-level shifted Laplace preconditioner for Helmholtz problems: Field-of-values analysis and wavenumber-independent convergence
Luis García Ramos, Reinhard Nabben
One of the main tools for solving linear systems arising from the discretization of the Helmholtz equation is the shifted Laplace preconditioner, which results from the discretizat…
math.NA2019
On Optimal Algebraic Multigrid Methods
Luis García Ramos, Reinhard Nabben
In this note we present an alternative way to obtain optimal interpolation operators for two-grid methods applied to Hermitian positive definite linear systems. Falgout and Vassile…