Liu, Lulu; Gao, Weiguo; Yu, Han; Keyes, David E. Overlapping multiplicative Schwarz preconditioning for linear and nonlinear systems. (English) Zbl 07807975 J. Comput. Phys. 496, Article ID 112548, 22 p. (2024). MSC: 65Nxx 65Fxx 65Hxx PDFBibTeX XMLCite \textit{L. Liu} et al., J. Comput. Phys. 496, Article ID 112548, 22 p. (2024; Zbl 07807975) Full Text: DOI
Liu, Lulu; Hwang, Feng-Nan; Luo, Li; Cai, Xiao-Chuan; Keyes, David E. A nonlinear elimination preconditioned inexact Newton algorithm. (English) Zbl 1492.65144 SIAM J. Sci. Comput. 44, No. 3, A1579-A1605 (2022). MSC: 65H20 65N06 65N22 65Y05 76H05 PDFBibTeX XMLCite \textit{L. Liu} et al., SIAM J. Sci. Comput. 44, No. 3, A1579--A1605 (2022; Zbl 1492.65144) Full Text: DOI
Liu, Lulu; Keyes, David E. Approximate error bounds on solutions of nonlinearly preconditioned PDEs. (English) Zbl 1469.49028 SIAM J. Sci. Comput. 43, No. 4, A2526-A2554 (2021). MSC: 49M15 65H10 65H20 65N15 65N22 PDFBibTeX XMLCite \textit{L. Liu} and \textit{D. E. Keyes}, SIAM J. Sci. Comput. 43, No. 4, A2526--A2554 (2021; Zbl 1469.49028) Full Text: DOI
Luo, Li; Liu, Lulu; Cai, Xiao-Chuan; Keyes, David E. Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids. (English) Zbl 1435.76038 J. Comput. Phys. 409, Article ID 109312, 19 p. (2020). MSC: 76M10 76S05 76T06 65Y05 PDFBibTeX XMLCite \textit{L. Luo} et al., J. Comput. Phys. 409, Article ID 109312, 19 p. (2020; Zbl 1435.76038) Full Text: DOI
Liu, Lulu; Keyes, David E.; Krause, Rolf A note on adaptive nonlinear preconditioning techniques. (English) Zbl 1446.65027 SIAM J. Sci. Comput. 40, No. 2, A1171-A1186 (2018). MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{L. Liu} et al., SIAM J. Sci. Comput. 40, No. 2, A1171--A1186 (2018; Zbl 1446.65027) Full Text: DOI
Liu, Lulu; Zhang, Wei; Keyes, David E. Nonlinear multiplicative Schwarz preconditioning in natural convection cavity flow. (English) Zbl 1445.76074 Lee, Chang-Ock (ed.) et al., Domain decomposition methods in science and engineering XXIII. Proceedings of the 23rd international conference, Jeju Island, South Korea, July 6–10, 2015. Cham: Springer. Lect. Notes Comput. Sci. Eng. 116, 227-235 (2017). MSC: 76R10 PDFBibTeX XMLCite \textit{L. Liu} et al., Lect. Notes Comput. Sci. Eng. 116, 227--235 (2017; Zbl 1445.76074) Full Text: DOI
Liu, Lulu; Keyes, David E. Convergence analysis for the multiplicative Schwarz preconditioned inexact Newton algorithm. (English) Zbl 1352.65142 SIAM J. Numer. Anal. 54, No. 5, 3145-3166 (2016). MSC: 65H10 65F08 PDFBibTeX XMLCite \textit{L. Liu} and \textit{D. E. Keyes}, SIAM J. Numer. Anal. 54, No. 5, 3145--3166 (2016; Zbl 1352.65142) Full Text: DOI
Liu, Lulu; Keyes, David E. Field-split preconditioned inexact Newton algorithms. (English) Zbl 1328.65122 SIAM J. Sci. Comput. 37, No. 3, A1388-A1409 (2015). MSC: 65H10 65H20 65N22 65N55 PDFBibTeX XMLCite \textit{L. Liu} and \textit{D. E. Keyes}, SIAM J. Sci. Comput. 37, No. 3, A1388--A1409 (2015; Zbl 1328.65122) Full Text: DOI Link