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
Luo, Li; Cai, Xiao-Chuan; Keyes, David E. Nonlinear preconditioning strategies for two-phase flows in porous media discretized by a fully implicit discontinuous Galerkin method. (English) Zbl 1490.65203 SIAM J. Sci. Comput. 43, No. 5, S317-S344 (2021). MSC: 65M60 65M22 65Y05 76S05 76T06 PDFBibTeX XMLCite \textit{L. Luo} et al., SIAM J. Sci. Comput. 43, No. 5, S317--S344 (2021; Zbl 1490.65203) 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; Cai, Xiao-Chuan; Keyes, David E. Nonlinear preconditioning strategies for two-phase flows in porous media discretized by a fully implicit discontinuous Galerkin method. (English) Zbl 1469.76063 SIAM J. Sci. Comput. 43, No. 3, S317-S344 (2021). Reviewer: J. Manimaran (Ponda) MSC: 76M10 76S05 76T30 65Y05 PDFBibTeX XMLCite \textit{L. Luo} et al., SIAM J. Sci. Comput. 43, No. 3, S317--S344 (2021; Zbl 1469.76063) Full Text: DOI
Luo, Li; Cai, Xiao-Chuan; Yan, Zhengzheng; Xu, Lei; Keyes, David E. A multilayer nonlinear elimination preconditioned inexact Newton method for steady-state incompressible flow problems in three dimensions. (English) Zbl 1456.76104 SIAM J. Sci. Comput. 42, No. 6, B1404-B1428 (2020). MSC: 76M99 76D05 65N12 65N55 65Y05 PDFBibTeX XMLCite \textit{L. Luo} et al., SIAM J. Sci. Comput. 42, No. 6, B1404--B1428 (2020; Zbl 1456.76104) Full Text: DOI
Ambartsumyan, Ilona; Boukaram, Wajih; Bui-Thanh, Tan; Ghattas, Omar; Keyes, David; Stadler, Georg; Turkiyyah, George; Zampini, Stefano Hierarchical matrix approximations of Hessians arising in inverse problems governed by PDEs. (English) Zbl 1453.65289 SIAM J. Sci. Comput. 42, No. 5, A3397-A3426 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 65M32 35Q93 49M25 49N45 65F10 65F99 65Y05 65Y10 78A46 PDFBibTeX XMLCite \textit{I. Ambartsumyan} et al., SIAM J. Sci. Comput. 42, No. 5, A3397--A3426 (2020; Zbl 1453.65289) Full Text: DOI arXiv
Boukaram, Wajih; Turkiyyah, George; Keyes, David Randomized GPU algorithms for the construction of hierarchical matrices from matrix-vector operations. (English) Zbl 07099326 SIAM J. Sci. Comput. 41, No. 4, C339-C366 (2019). MSC: 65Fxx 68N19 68W10 68W20 68W25 PDFBibTeX XMLCite \textit{W. Boukaram} et al., SIAM J. Sci. Comput. 41, No. 4, C339--C366 (2019; Zbl 07099326) Full Text: DOI
Abduljabbar, Mustafa; Al Farhan, Mohammed; Al-Harthi, Noha; Chen, Rui; Yokota, Rio; Bagci, Hakan; Keyes, David Extreme scale FMM-accelerated boundary integral equation solver for wave scattering. (English) Zbl 1461.65254 SIAM J. Sci. Comput. 41, No. 3, C245-C268 (2019). MSC: 65N38 78M16 PDFBibTeX XMLCite \textit{M. Abduljabbar} et al., SIAM J. Sci. Comput. 41, No. 3, C245--C268 (2019; Zbl 1461.65254) Full Text: DOI arXiv
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
Chen, Yuxin; Keyes, David; Law, Kody J. H.; Ltaief, Hatem Accelerated dimension-independent adaptive metropolis. (English) Zbl 1352.65029 SIAM J. Sci. Comput. 38, No. 5, S539-S565 (2016). MSC: 65C60 62F15 65C05 65C40 60J22 65Y20 65Y05 PDFBibTeX XMLCite \textit{Y. Chen} et al., SIAM J. Sci. Comput. 38, No. 5, S539--S565 (2016; Zbl 1352.65029) Full Text: DOI arXiv
Malas, T.; Hager, G.; Ltaief, H.; Stengel, H.; Wellein, G.; Keyes, D. Multicore-optimized wavefront diamond blocking for optimizing stencil updates. (English) Zbl 1331.68286 SIAM J. Sci. Comput. 37, No. 4, C439-C464 (2015). MSC: 68W15 65Y05 68M14 68M20 68Q25 68W10 PDFBibTeX XMLCite \textit{T. Malas} et al., SIAM J. Sci. Comput. 37, No. 4, C439--C464 (2015; Zbl 1331.68286) Full Text: DOI arXiv
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
Hiriyur, B.; Tuminaro, R. S.; Waisman, H.; Boman, E. G.; Keyes, D. E. A quasi-algebraic multigrid approach to fracture problems based on extended finite elements. (English) Zbl 1390.74181 SIAM J. Sci. Comput. 34, No. 2, A603-A626 (2012). MSC: 74S05 65N55 65F08 65F10 65N30 74R10 PDFBibTeX XMLCite \textit{B. Hiriyur} et al., SIAM J. Sci. Comput. 34, No. 2, A603--A626 (2012; Zbl 1390.74181) Full Text: DOI
Tuminaro, Ray (ed.); Benzi, Michele (ed.); Cai, Xiao-Chuan (ed.); Duff, Iain (ed.); Elman, Howard (ed.); Freund, Roland (ed.); Jordan, Kirk (ed.); Kelley, Tim (ed.); Keyes, David (ed.); Kilmer, Misha (ed.); Leyffer, Sven (ed.); Manteuffel, Tom (ed.); McCormick, Steve (ed.); Silvester, David (ed.); Walker, Homer (ed.); Woodward, Carol (ed.); Yavneh, Irad (ed.) Special section: 2010 Copper Mountain conference. (English) Zbl 1231.00050 SIAM J. Sci. Comput. 33, No. 5, 2685 (2011). MSC: 00B25 65-06 PDFBibTeX XMLCite \textit{R. Tuminaro} (ed.) et al., SIAM J. Sci. Comput. 33, No. 5, 2685 (2011; Zbl 1231.00050) Full Text: DOI Link
Coffey, Todd S.; Kelley, C. T.; Keyes, David E. Pseudotransient continuation and differential-algebraic equations. (English) Zbl 1048.65080 SIAM J. Sci. Comput. 25, No. 2, 553-569 (2003). Reviewer: Rudolf Scherer (Karlsruhe) MSC: 65L80 65H10 65H20 34A09 PDFBibTeX XMLCite \textit{T. S. Coffey} et al., SIAM J. Sci. Comput. 25, No. 2, 553--569 (2003; Zbl 1048.65080) Full Text: DOI
Cai, Xiao-Chuan; Keyes, David E. Nonlinearly preconditioned inexact Newton algorithms. (English) Zbl 1015.65058 SIAM J. Sci. Comput. 24, No. 1, 183-200 (2002). Reviewer: Willi Schönauer (Karlsruhe) MSC: 65N06 65H10 65N55 76D05 65N12 65Y05 PDFBibTeX XMLCite \textit{X.-C. Cai} and \textit{D. E. Keyes}, SIAM J. Sci. Comput. 24, No. 1, 183--200 (2002; Zbl 1015.65058) Full Text: DOI
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E.; Melvin, Robin G.; Young, David P. Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation. (English) Zbl 0917.76035 SIAM J. Sci. Comput. 19, No. 1, 246-265 (1998). Reviewer: S.Nocilla (Torino) MSC: 76M10 76H05 76G25 65N55 65Y05 PDFBibTeX XMLCite \textit{X.-C. Cai} et al., SIAM J. Sci. Comput. 19, No. 1, 246--265 (1998; Zbl 0917.76035) Full Text: DOI
Ern, Alexandre; Giovangigli, Vincent; Keyes, David E.; Smooke, Mitchell D. Towards polyalgorithmic linear system solvers for nonlinear elliptic problems. (English) Zbl 0807.65027 SIAM J. Sci. Comput. 15, No. 3, 681-703 (1994). Reviewer: Z.Dostál (Ostrava) MSC: 65F10 65F35 65H10 65Y20 35J65 65N22 80A32 PDFBibTeX XMLCite \textit{A. Ern} et al., SIAM J. Sci. Comput. 15, No. 3, 681--703 (1994; Zbl 0807.65027) Full Text: DOI Link