Bouziani, Nacime; Nataf, Frédéric; Tournier, Pierre-Henri A unified framework for double sweep methods for the Helmholtz equation. (English) Zbl 07715235 J. Comput. Phys. 490, Article ID 112305, 21 p. (2023). MSC: 65Nxx 65Fxx 35Jxx PDFBibTeX XMLCite \textit{N. Bouziani} et al., J. Comput. Phys. 490, Article ID 112305, 21 p. (2023; Zbl 07715235) Full Text: DOI arXiv
Grote, Marcus J.; Nataf, Frédéric; Tang, Jet Hoe; Tournier, Pierre-Henri Parallel controllability methods for the Helmholtz equation. (English) Zbl 1439.35144 Comput. Methods Appl. Mech. Eng. 362, Article ID 112846, 23 p. (2020). MSC: 35J05 35P25 93B05 78A25 78M10 PDFBibTeX XMLCite \textit{M. J. Grote} et al., Comput. Methods Appl. Mech. Eng. 362, Article ID 112846, 23 p. (2020; Zbl 1439.35144) Full Text: DOI arXiv
Haferssas, R.; Jolivet, P.; Nataf, F. An additive Schwarz method type theory for Lions’s algorithm and a symmetrized optimized restricted additive Schwarz method. (English) Zbl 1371.65129 SIAM J. Sci. Comput. 39, No. 4, A1345-A1365 (2017). MSC: 65N55 35J25 74B05 76D07 PDFBibTeX XMLCite \textit{R. Haferssas} et al., SIAM J. Sci. Comput. 39, No. 4, A1345--A1365 (2017; Zbl 1371.65129) Full Text: DOI
Conen, Lea; Dolean, Victorita; Krause, Rolf; Nataf, Frédéric A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator. (English) Zbl 1321.65172 J. Comput. Appl. Math. 271, 83-99 (2014); addendum ibid. 290, 670-674 (2015). MSC: 65N30 65N55 35J05 65F08 65N12 PDFBibTeX XMLCite \textit{L. Conen} et al., J. Comput. Appl. Math. 271, 83--99 (2014; Zbl 1321.65172) Full Text: DOI
Lantos, Nicolas; Nataf, Frédéric Perfectly matched layers for the heat and advection-diffusion equations. (English) Zbl 1203.65183 J. Comput. Phys. 229, No. 24, 9042-9052 (2010). MSC: 65M60 35K05 35K15 PDFBibTeX XMLCite \textit{N. Lantos} and \textit{F. Nataf}, J. Comput. Phys. 229, No. 24, 9042--9052 (2010; Zbl 1203.65183) Full Text: DOI
Lantos, Nicolas; Nataf, Frédéric Perfectly matched layers for the heat and advection-diffusion equations. (English. Abridged French version) Zbl 1198.35017 C. R., Math., Acad. Sci. Paris 348, No. 13-14, 781-785 (2010). MSC: 35A35 35K10 PDFBibTeX XMLCite \textit{N. Lantos} and \textit{F. Nataf}, C. R., Math., Acad. Sci. Paris 348, No. 13--14, 781--785 (2010; Zbl 1198.35017) Full Text: DOI
Nataf, Frédéric A new approach to perfectly matched layers for the linearized Euler system. (English) Zbl 1088.76052 J. Comput. Phys. 214, No. 2, 757-772 (2006). MSC: 76M25 76G25 PDFBibTeX XMLCite \textit{F. Nataf}, J. Comput. Phys. 214, No. 2, 757--772 (2006; Zbl 1088.76052) Full Text: DOI arXiv
Flauraud, E.; Nataf, F.; Willien, F. Optimized interface conditions in domain decomposition methods for problems with extreme contrasts in the coefficients. (English) Zbl 1087.65116 J. Comput. Appl. Math. 189, No. 1-2, 539-554 (2006). MSC: 65N55 65N12 65N30 65N40 35J25 65F35 76M12 76S05 65F10 PDFBibTeX XMLCite \textit{E. Flauraud} et al., J. Comput. Appl. Math. 189, No. 1--2, 539--554 (2006; Zbl 1087.65116) Full Text: DOI
Nataf, Frédéric New constructions of perfectly matched layers for the linearized Euler equations. (English) Zbl 1159.76365 C. R., Math., Acad. Sci. Paris 340, No. 10, 775-778 (2005). MSC: 76M25 65M99 76B03 PDFBibTeX XMLCite \textit{F. Nataf}, C. R., Math., Acad. Sci. Paris 340, No. 10, 775--778 (2005; Zbl 1159.76365) Full Text: DOI