Gander, M. J.; Tonnoir, A. Analysis of Schwarz methods for convected Helmholtz-like equations. (English) Zbl 07790224 SIAM J. Sci. Comput. 46, No. 1, A1-A22 (2024). MSC: 65M55 65N55 65F08 65F10 35Q41 35Q55 35J05 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{A. Tonnoir}, SIAM J. Sci. Comput. 46, No. 1, A1--A22 (2024; Zbl 07790224) Full Text: DOI
Gong, Shihua; Gander, Martin J.; Graham, Ivan G.; Lafontaine, David; Spence, Euan A. Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. (English) Zbl 1497.65252 Numer. Math. 152, No. 2, 259-306 (2022). MSC: 65N55 65N22 65F08 65F10 65Y05 35J05 PDFBibTeX XMLCite \textit{S. Gong} et al., Numer. Math. 152, No. 2, 259--306 (2022; Zbl 1497.65252) Full Text: DOI arXiv
Chen, Xin; Gander, Martin J.; Xu, Yingxiang Optimized Schwarz methods with elliptical domain decompositions. (English) Zbl 1479.65036 J. Sci. Comput. 86, No. 2, Paper No. 27, 28 p. (2021). Reviewer: Wei Gong (Beijing) MSC: 65N55 65N22 65L10 34B30 33E10 35J05 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Sci. Comput. 86, No. 2, Paper No. 27, 28 p. (2021; Zbl 1479.65036) Full Text: DOI
Ciaramella, Gabriele; Gander, Martin J.; Mamooler, Parisa The domain decomposition method of Bank and Jimack as an optimized Schwarz method. (English) Zbl 1508.65169 Haynes, Ronald (ed.) et al., Domain decomposition methods in science and engineering XXV. Selected papers based on the presentations at the 25th international conference on domain decomposition methods, Memorial University of Newfoundland, in St. John’s, Newfoundland and Labrador, Canada, July 23–27, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 138, 285-293 (2020). MSC: 65N55 65N06 65N22 65F10 35J05 PDFBibTeX XMLCite \textit{G. Ciaramella} et al., Lect. Notes Comput. Sci. Eng. 138, 285--293 (2020; Zbl 1508.65169) Full Text: DOI
Gander, Martin J.; Vanzan, Tommaso Multilevel optimized Schwarz methods. (English) Zbl 1475.65212 SIAM J. Sci. Comput. 42, No. 5, A3180-A3209 (2020). Reviewer: Zhiming Chen (Beijing) MSC: 65N55 65N22 65N12 65F10 65F08 49K35 35J05 76S05 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{T. Vanzan}, SIAM J. Sci. Comput. 42, No. 5, A3180--A3209 (2020; Zbl 1475.65212) Full Text: DOI
Ciaramella, Gabriele; Gander, Martin J.; Halpern, Laurence; Salomon, Julien Methods of reflections: relations with Schwarz methods and classical stationary iterations, scalability and preconditioning. (English) Zbl 1435.65224 SMAI J. Comput. Math. 5, 161-193 (2019). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N55 65F10 65N38 35J05 35J57 35J25 35B50 PDFBibTeX XMLCite \textit{G. Ciaramella} et al., SMAI J. Comput. Math. 5, 161--193 (2019; Zbl 1435.65224) Full Text: DOI
Gander, Martin J.; Zhang, Hui A class of iterative solvers for the Helmholtz equation: factorizations, sweeping preconditioners, source transfer, single layer potentials, polarized traces, and optimized Schwarz methods. (English) Zbl 1417.65216 SIAM Rev. 61, No. 1, 3-76 (2019). Reviewer: Marius Ghergu (Dublin) MSC: 65N55 65N22 65F10 35J05 65F08 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{H. Zhang}, SIAM Rev. 61, No. 1, 3--76 (2019; Zbl 1417.65216) Full Text: DOI arXiv
Gander, Martin J.; Kumbhar, Pratik M.; Ruehli, Albert E. Analysis of overlap in waveform relaxation methods for RC circuits. (English) Zbl 1443.65095 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 281-289 (2018). MSC: 65L05 94C05 44A10 49J35 PDFBibTeX XMLCite \textit{M. J. Gander} et al., Lect. Notes Comput. Sci. Eng. 125, 281--289 (2018; Zbl 1443.65095) Full Text: DOI
Chaouqui, Faycal; Gander, Martin J.; Santugini-Repiquet, Kévin A coarse space to remove the logarithmic dependency in Neumann-Neumann methods. (English) Zbl 1443.65418 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 159-167 (2018). MSC: 65N55 65N22 65N12 35J05 15A18 PDFBibTeX XMLCite \textit{F. Chaouqui} et al., Lect. Notes Comput. Sci. Eng. 125, 159--167 (2018; Zbl 1443.65418) Full Text: DOI
Chaouqui, F.; Ciaramella, G.; Gander, M. J.; Vanzan, T. On the scalability of classical one-level domain-decomposition methods. (English) Zbl 1406.65128 Vietnam J. Math. 46, No. 4, 1053-1088 (2018). MSC: 65N55 65F10 65N22 70-08 35J05 35J57 PDFBibTeX XMLCite \textit{F. Chaouqui} et al., Vietnam J. Math. 46, No. 4, 1053--1088 (2018; Zbl 1406.65128) Full Text: DOI
Ciaramella, Gabriele; Gander, Martin J. Analysis of the parallel Schwarz method for growing chains of fixed-sized subdomains. III. (English) Zbl 1404.65301 ETNA, Electron. Trans. Numer. Anal. 49, 210-243 (2018). MSC: 65N55 65F10 65N22 70-08 35J05 35J57 65N12 PDFBibTeX XMLCite \textit{G. Ciaramella} and \textit{M. J. Gander}, ETNA, Electron. Trans. Numer. Anal. 49, 210--243 (2018; Zbl 1404.65301) Full Text: DOI Link
Ciaramella, Gabriele; Gander, Martin J. Analysis of the parallel Schwarz method for growing chains of fixed-sized subdomains. II. (English) Zbl 1435.65223 SIAM J. Numer. Anal. 56, No. 3, 1498-1524 (2018). MSC: 65N55 65F10 65N22 70-08 35J05 35J57 PDFBibTeX XMLCite \textit{G. Ciaramella} and \textit{M. J. Gander}, SIAM J. Numer. Anal. 56, No. 3, 1498--1524 (2018; Zbl 1435.65223) Full Text: DOI
Dolean, Victorita; Gander, Martin J.; Veneros, Erwin; Zhang, Hui Optimized Schwarz methods for heterogeneous Helmholtz and Maxwell’s equations. (English) Zbl 1371.78332 Lee, Chang-Ock (ed.) et al., Domain decomposition methods in science and engineering XXIII. Proceedings of the 23rd international conference, Jeju Island, Korea, July 6–10, 2015. Cham: Springer (ISBN 978-3-319-52388-0/hbk; 978-3-319-52389-7/ebook). Lecture Notes in Computational Science and Engineering 116, 145-152 (2017). MSC: 78M25 65N55 78A25 35J05 PDFBibTeX XMLCite \textit{V. Dolean} et al., Lect. Notes Comput. Sci. Eng. 116, 145--152 (2017; Zbl 1371.78332) Full Text: DOI Link
Gander, Martin J.; Solovyev, Sergey A numerical study on the compressibility of subblocks of Schur complement matrices obtained from discretized Helmholtz equations. (English) Zbl 1368.65220 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 70-81 (2017). MSC: 65N22 35J05 65F20 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{S. Solovyev}, Lect. Notes Comput. Sci. 10187, 70--81 (2017; Zbl 1368.65220) Full Text: DOI
Gander, Martin J.; Kwok, Felix Best Robin parameters for optimized Schwarz methods at cross points. (English) Zbl 1254.65126 SIAM J. Sci. Comput. 34, No. 4, A1849-A1879 (2012). MSC: 65N55 65F10 65N12 35J25 35J05 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{F. Kwok}, SIAM J. Sci. Comput. 34, No. 4, A1849--A1879 (2012; Zbl 1254.65126) Full Text: DOI Link
Gander, Martin J. On the influence of geometry on optimized Schwarz methods. (English) Zbl 1328.65261 S\(\vec{\text{e}}\)MA J. 53, 71-78 (2011). MSC: 65N55 35J05 35J25 PDFBibTeX XMLCite \textit{M. J. Gander}, S\(\vec{\text{e}}\)MA J. 53, 71--78 (2011; Zbl 1328.65261) Full Text: DOI
Loisel, S.; Côté, J.; Gander, M. J.; Laayouni, L.; Qaddouri, A. Optimized domain decomposition methods for the spherical Laplacian. (English) Zbl 1215.65186 SIAM J. Numer. Anal. 48, No. 2, 524-551 (2010). Reviewer: Srinivasan Natesan (Assam) MSC: 65N55 65F10 65N22 35J05 58J05 65N12 PDFBibTeX XMLCite \textit{S. Loisel} et al., SIAM J. Numer. Anal. 48, No. 2, 524--551 (2010; Zbl 1215.65186) Full Text: DOI Link