Ramos, Luis García; Sète, Olivier; Nabben, Reinhard Preconditioning the Helmholtz equation with the shifted Laplacian and Faber polynomials. (English) Zbl 1475.65016 ETNA, Electron. Trans. Numer. Anal. 54, 534-557 (2021). MSC: 65F08 65F10 30C10 30C20 PDFBibTeX XMLCite \textit{L. G. Ramos} et al., ETNA, Electron. Trans. Numer. Anal. 54, 534--557 (2021; Zbl 1475.65016) Full Text: DOI Link
García Ramos, Luis; Nabben, Reinhard On the spectrum of deflated matrices with applications to the deflated shifted Laplace preconditioner for the Helmholtz equation. (English) Zbl 1383.65020 SIAM J. Matrix Anal. Appl. 39, No. 1, 262-286 (2018). MSC: 65F08 65F10 65N55 15A42 35J05 PDFBibTeX XMLCite \textit{L. García Ramos} and \textit{R. Nabben}, SIAM J. Matrix Anal. Appl. 39, No. 1, 262--286 (2018; Zbl 1383.65020) Full Text: DOI
Erlangga, Yogi A.; García Ramos, Luis; Nabben, Reinhard The multilevel Krylov-multigrid method for the Helmholtz equation preconditioned by the shifted Laplacian. (English) Zbl 1366.65112 Lahaye, Domenico (ed.) et al., Modern solvers for Helmholtz problems. Basel: Birkhäuser/Springer (ISBN 978-3-319-28831-4/hbk; 978-3-319-28832-1/ebook). Geosystems Mathematics, 113-139 (2017). MSC: 65N55 65N06 65N12 65F08 35J05 PDFBibTeX XMLCite \textit{Y. A. Erlangga} et al., in: Modern solvers for Helmholtz problems. Basel: Birkhäuser/Springer. 113--139 (2017; Zbl 1366.65112) Full Text: DOI
Sheikh, A. H.; Lahaye, D.; Garcia Ramos, L.; Nabben, R.; Vuik, C. Accelerating the shifted Laplace preconditioner for the Helmholtz equation by multilevel deflation. (English) Zbl 1352.65456 J. Comput. Phys. 322, 473-490 (2016). MSC: 65N22 65F08 PDFBibTeX XMLCite \textit{A. H. Sheikh} et al., J. Comput. Phys. 322, 473--490 (2016; Zbl 1352.65456) Full Text: DOI