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
Al Jahdali, R.; Dalcin, L.; Boukharfane, R.; Nolasco, I. R.; Keyes, D. E.; Parsani, M. Optimized explicit Runge-Kutta schemes for high-order collocated discontinuous Galerkin methods for compressible fluid dynamics. (English) Zbl 1524.65264 Comput. Math. Appl. 118, 1-17 (2022). MSC: 65L06 65M12 65M60 76M10 PDFBibTeX XMLCite \textit{R. Al Jahdali} et al., Comput. Math. Appl. 118, 1--17 (2022; Zbl 1524.65264) Full Text: DOI
Litvinenko, Alexander; Logashenko, Dmitry; Tempone, Raul; Wittum, Gabriel; Keyes, David Propagation of uncertainties in density-driven flow. (English) Zbl 1497.76097 Bungartz, Hans-Joachim (ed.) et al., Sparse grids and applications – Munich 2018. Selected papers based on the presentations at the fifth workshop, SGA2018, Munich, Germany, July 23–27, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 144, 101-126 (2021). MSC: 76S05 65M55 PDFBibTeX XMLCite \textit{A. Litvinenko} et al., Lect. Notes Comput. Sci. Eng. 144, 101--126 (2021; Zbl 1497.76097) Full Text: DOI arXiv
Rojas, Diego; Boukharfane, Radouan; Dalcin, Lisandro; Del Rey Fernández, David C.; Ranocha, Hendrik; Keyes, David E.; Parsani, Matteo On the robustness and performance of entropy stable collocated discontinuous Galerkin methods. (English) Zbl 07510039 J. Comput. Phys. 426, Article ID 109891, 17 p. (2021). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{D. Rojas} et al., J. Comput. Phys. 426, Article ID 109891, 17 p. (2021; Zbl 07510039) Full Text: DOI arXiv
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
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; Chen, Rongliang; Cai, Xiao-Chuan; Keyes, David E. A nonlinear elimination preconditioned inexact Newton algorithm for steady state incompressible flow problems on 3D unstructured meshes. (English) Zbl 1502.65248 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, 441-449 (2020). MSC: 65N55 65N22 65N30 65H10 65F08 65F10 65N12 65Y05 76D05 35Q30 PDFBibTeX XMLCite \textit{L. Luo} et al., Lect. Notes Comput. Sci. Eng. 138, 441--449 (2020; Zbl 1502.65248) 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
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
Litvinenko, Alexander; Logashenko, Dmitry; Tempone, Raul; Wittum, Gabriel; Keyes, David Solution of the 3D density-driven groundwater flow problem with uncertain porosity and permeability. (English) Zbl 1434.76016 GEM. Int. J. Geomath. 11, No. 1, Paper No. 10, 29 p. (2020). MSC: 76-10 76S05 35Q35 65M22 65M55 PDFBibTeX XMLCite \textit{A. Litvinenko} et al., GEM. Int. J. Geomath. 11, Paper No. 10, 29 p. (2020; Zbl 1434.76016) Full Text: DOI arXiv
Gao, Longfei; Del Rey Fernández, David C.; Carpenter, Mark; Keyes, David SBP-SAT finite difference discretization of acoustic wave equations on staggered block-wise uniform grids. (English) Zbl 1412.65075 J. Comput. Appl. Math. 348, 421-444 (2019). MSC: 65M06 86A15 76Q05 65M50 35Q86 PDFBibTeX XMLCite \textit{L. Gao} et al., J. Comput. Appl. Math. 348, 421--444 (2019; Zbl 1412.65075) Full Text: DOI arXiv Link
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
Zheng, Xiang; Yang, Chao; Cai, Xiao-Chuan; Keyes, David A parallel domain decomposition-based implicit method for the Cahn-Hilliard-cook phase-field equation in 3D. (English) Zbl 1351.76199 J. Comput. Phys. 285, 55-70 (2015). MSC: 76M20 65M06 65M22 76D27 82C26 PDFBibTeX XMLCite \textit{X. Zheng} et al., J. Comput. Phys. 285, 55--70 (2015; Zbl 1351.76199) Full Text: DOI
Yan, Yan; Keyes, David E. Smooth and robust solutions for Dirichlet boundary control of fluid-solid conjugate heat transfer problems. (English) Zbl 1351.49033 J. Comput. Phys. 281, 759-786 (2015). MSC: 49M25 76M10 74F10 65M60 76D05 80A20 90C53 PDFBibTeX XMLCite \textit{Y. Yan} and \textit{D. E. Keyes}, J. Comput. Phys. 281, 759--786 (2015; Zbl 1351.49033) Full Text: DOI
Yuan, Xuefei; Jardin, Stephen C.; Keyes, David E. Moving grids for magnetic reconnection via Newton-Krylov methods. (English) Zbl 1219.78036 Comput. Phys. Commun. 182, No. 1, 173-176 (2011). MSC: 78A25 76W05 78M50 82D10 78M20 65H10 PDFBibTeX XMLCite \textit{X. Yuan} et al., Comput. Phys. Commun. 182, No. 1, 173--176 (2011; Zbl 1219.78036) Full Text: DOI
Kang, K. S.; Keyes, D. E. Implicit symmetrized streamfunction formulations of magnetohydrodynamics. (English) Zbl 1149.76028 Int. J. Numer. Methods Fluids 58, No. 11, 1201-1222 (2008). MSC: 76M10 76W05 76E25 PDFBibTeX XMLCite \textit{K. S. Kang} and \textit{D. E. Keyes}, Int. J. Numer. Methods Fluids 58, No. 11, 1201--1222 (2008; Zbl 1149.76028) Full Text: DOI
Ovtchinnikov, S.; Dobrian, F.; Cai, X.-C.; Keyes, D. E. Additive Schwarz-based fully coupled implicit methods for resistive Hall magnetohydrodynamic problems. (English) Zbl 1343.76049 J. Comput. Phys. 225, No. 2, 1919-1936 (2007). MSC: 76M25 76W05 76X05 PDFBibTeX XMLCite \textit{S. Ovtchinnikov} et al., J. Comput. Phys. 225, No. 2, 1919--1936 (2007; Zbl 1343.76049) Full Text: DOI
Widlund, Olof B. (ed.); Keyes, David E. (ed.) Domain decomposition methods in science and engineering XVI. 16th international conference, New York, NY, January 11–15, 2005. (English) Zbl 1104.74004 Lecture Notes in Computational Science and Engineering 55. Berlin: Springer (ISBN 3-540-34468-3/pbk). xxi, 778 p. (2007). MSC: 74-06 76-06 65M55 65N55 00B25 PDFBibTeX XMLCite \textit{O. B. Widlund} (ed.) and \textit{D. E. Keyes} (ed.), Domain decomposition methods in science and engineering XVI. 16th international conference, New York, NY, January 11--15, 2005. Berlin: Springer (2007; Zbl 1104.74004) Full Text: DOI
Germaschewski, Kai; Bhattacharjee, Amitava; Grauer, Rainer; Keyes, David; Smith, Barry Using Krylov-Schwarz methods in an adaptive mesh refinement environment. (English) Zbl 1246.65228 Plewa, Tomasz (ed.) et al., Adaptive mesh refinement – theory and applications. Proceedings of the Chicago workshop on adaptive mesh refinement methods, Chicago, IL, USA, September 3–5, 2003. Berlin: Springer (ISBN 3-540-21147-0/pbk). Lecture Notes in Computational Science and Engineering 41, 115-124 (2005). MSC: 65N50 65M50 76M25 PDFBibTeX XMLCite \textit{K. Germaschewski} et al., Lect. Notes Comput. Sci. Eng. 41, 115--124 (2005; Zbl 1246.65228) Full Text: DOI
Knoll, D. A.; Keyes, D. E. Jacobian-free Newton-Krylov methods: a survey of approaches and applications. (English) Zbl 1036.65045 J. Comput. Phys. 193, No. 2, 357-397 (2004). MSC: 65H10 65F35 65M06 65R20 35Q35 45G10 65Z05 76M25 PDFBibTeX XMLCite \textit{D. A. Knoll} and \textit{D. E. Keyes}, J. Comput. Phys. 193, No. 2, 357--397 (2004; Zbl 1036.65045) Full Text: DOI
Cai, Xiao-Chuan; Keyes, David E.; Young, David P. A nonlinear additive Schwarz preconditioned inexact Newton method for shocked duct flows. (English) Zbl 1201.76107 Debit, N. (ed.) et al., Domain decomposition methods in science and engineering. Papers of the thirteenth international conference on domain decomposition methods, Lyon, France, October 9–12, 2000. Barcelona: International Center for Numerical Methods in Engineering (CIMNE) (ISBN 84-95999-07-2/hbk). Theory Eng. Appl. Comput. Methods, 345-352 (2002). MSC: 76L05 PDFBibTeX XMLCite \textit{X.-C. Cai} et al., in: Domain decomposition methods in science and engineering. XIII. Papers of the thirteenth international conference on domain decomposition methods, Lyon, France, October 9--12, 2000. Barcelona: International Center for Numerical Methods in Engineering (CIMNE). 345--352 (2002; Zbl 1201.76107)
Cai, Xiao-Chuan; Keyes, David E.; Marcinkowski, Leszek Nonlinear additive Schwarz preconditioners and application in computational fluid dynamics. (English) Zbl 1025.76040 Int. J. Numer. Methods Fluids 40, No. 12, 1463-1470 (2002). MSC: 76M99 76D05 65N55 PDFBibTeX XMLCite \textit{X.-C. Cai} et al., Int. J. Numer. Methods Fluids 40, No. 12, 1463--1470 (2002; Zbl 1025.76040) Full Text: DOI
Keyes, David E. Terascale implicit methods for partial differential equations. (English) Zbl 1018.65121 Feng, Xiaobing (ed.) et al., Recent advances in numerical methods for partial differential equations and applications. Proceedings of the 2001 John H. Barrett memorial lectures trends in computational mathematics, Univ. of Tennessee, Knoxville, TN, USA, May 10-12, 2001. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 306, 29-84 (2002). MSC: 65M55 65F35 65H10 65M60 35Q30 76M10 65Y05 76D05 76N15 PDFBibTeX XMLCite \textit{D. E. Keyes}, Contemp. Math. 306, 29--84 (2002; Zbl 1018.65121)
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
Keyes, D. (ed.); Ecer, A. (ed.); Periaux, J. (ed.); Satofuka, N. (ed.); Fox, P. (ed.) Parallel computational fluid dynamics. Towards teraflops, optimization and novel formulations. Proceedings of the parallel CFD ’99 conference, Williamsburg, VA, USA, My 23–26, 1999. (English) Zbl 0953.68144 Amsterdam: Elsevier. xx, 455 p. $ 131.00 (2000). MSC: 68U99 76-06 68-06 76Mxx 00B25 76-04 PDFBibTeX XML
Keyes, D. (ed.); Ecer, A. (ed.); Periaux, J. (ed.); Satofuka, N. (ed.); Fox, P. (ed.) Parallel computational fluid dynamics. Towards teraflops, optimization and novel formulations. Proceedings of the parallel CFD ’99 conference, Williamsburg, VA, USA, My 23–26, 1999. (English) Zbl 0972.68173 Amsterdam: Elsevier. xx, 455 p. (2000). MSC: 68U99 76-06 68-06 76Mxx 00B25 76-04 PDFBibTeX XMLCite \textit{D. Keyes} (ed.) et al., Parallel computational fluid dynamics. Towards teraflops, optimization and novel formulations. Proceedings of the parallel CFD '99 conference, Williamsburg, VA, USA, My 23--26, 1999. Amsterdam: Elsevier (2000; Zbl 0972.68173)
Keyes, David E.; Kaushik, Dinesh K.; Smith, Barry F. Prospects for CFD on petaflops systems. (English) Zbl 0990.76074 Bjørstad, Petter (ed.) et al., Parallel solution of partial differential equations. Proceedings of a workshop, Univ. of Minnesota, Minneapolis, MN, USA, June 9-13, 1997. New York, NY: Springer. IMA Vol. Math. Appl. 120, 247-277 (2000). MSC: 76M99 65Y05 PDFBibTeX XMLCite \textit{D. E. Keyes} et al., IMA Vol. Math. Appl. 120, 247--277 (2000; Zbl 0990.76074)
Kaushik, Dinesh K.; Keyes, David E.; Smith, Barry F. On the interaction of architecture and algorithm in the domain-based parallelization of an unstructured-grid incompressible flow code. (English) Zbl 0921.76128 Mandel, Jan (ed.) et al., Domain decomposition methods 10. The 10th international conference, Boulder, CO, USA, August 10–14, 1997. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 218, 287-295 (1998). Reviewer: E.Krause (Aachen) MSC: 76M99 65Y05 65N55 PDFBibTeX XMLCite \textit{D. K. Kaushik} et al., Contemp. Math. 218, 287--295 (1998; Zbl 0921.76128)
McHugh, P. R.; Knoll, D. A.; Keyes, D. E. Application of Newton-Krylov-Schwarz algorithm to low-Mach-number compressible combustion. (English) Zbl 0900.76422 AIAA J. 36, No. 2, 290-292 (1998). MSC: 76M25 76V05 80A25 PDFBibTeX XMLCite \textit{P. R. McHugh} et al., AIAA J. 36, No. 2, 290--292 (1998; Zbl 0900.76422) 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
Knoll, D. A.; McHugh, P. R.; Keyes, D. E. Newton-Krylov methods for low-Mach-number compressible combustion. (English) Zbl 0900.76406 AIAA J. 34, No. 5, 961-967 (1996). MSC: 76M25 76V05 80A25 PDFBibTeX XMLCite \textit{D. A. Knoll} et al., AIAA J. 34, No. 5, 961--967 (1996; Zbl 0900.76406) Full Text: DOI
Melvin, R. G.; Young, D. P.; Keyes, D. E.; Ashcraft, C. C.; Bieterman, M. B.; Hilmes, C. L.; Huffman, W. P.; Johnson, F. T. A two-level acceleration scheme applied to full potential flow computations. (English) Zbl 0900.76212 Z. Angew. Math. Mech. 76, Suppl. 1, 243-246 (1996). MSC: 76G25 65F10 76H05 68Q10 76M99 PDFBibTeX XMLCite \textit{R. G. Melvin} et al., Z. Angew. Math. Mech. 76, 243--246 (1996; Zbl 0900.76212)
Knoll, D. A.; McHugh, P. R.; Keyes, D. E. Domain decomposition methods applied to a system of convection-diffusion-reaction equations. (English) Zbl 0900.76617 Z. Angew. Math. Mech. 76, Suppl. 1, 235-238 (1996). MSC: 76R99 PDFBibTeX XMLCite \textit{D. A. Knoll} et al., Z. Angew. Math. Mech. 76, 235--238 (1996; Zbl 0900.76617)
Gropp, William D.; Keyes, David E.; Tidriri, M. Driss Parallel implicit solvers for steady, compressible aerodynamics. (English) Zbl 0875.76542 Ecer, A. (ed.) et al., Parallel computational fluid dynamics: new trends and advances. Proceedings of the parallel CFD ’93 conference, Paris, France, May 10-12, 1993. Amsterdam: North-Holland. 391-399 (1995). MSC: 76M99 76N10 65Y05 PDFBibTeX XMLCite \textit{W. D. Gropp} et al., in: Parallel computational fluid dynamics: new trends and advances. Proceedings of the parallel CFD '93 conference, Paris, France, May 10--12, 1993. Amsterdam: North-Holland. 391--399 (1995; Zbl 0875.76542)
Keyes, David E. Aerodynamic applications of Newton-Krylov-Schwarz solvers. (English) Zbl 0854.76073 Deshpande, S. M. (ed.) et al., 14th international conference on numerical methods in fluid dynamics. Proceedings of the Conference, held in Bangalore, India, 11-15 July, 1994. Berlin: Springer-Verlag. Lect. Notes Phys. 453, 1-20 (1995). MSC: 76M99 65F99 65H10 PDFBibTeX XMLCite \textit{D. E. Keyes}, Lect. Notes Phys. 453, 1--20 (1995; Zbl 0854.76073)
Chefter, J. G.; Chu, C. K.; Keyes, D. E. Domain decomposition for the shallow water equations. (English) Zbl 0830.76061 Keyes, David E. (ed.) et al., Domain decomposition methods in scientific and engineering computing. Proceedings of the 7th international conference on domain decomposition, October 27-30, 1993, Pennsylvania State University, PA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 180, 485-490 (1994). Reviewer: J.Siekmann (Essen) MSC: 76M20 76M25 76U05 65M55 86A05 PDFBibTeX XMLCite \textit{J. G. Chefter} et al., Contemp. Math. 180, 485--490 (1994; Zbl 0830.76061)
Cai, X.-C.; Gropp, W. D.; Keyes, D. E.; Tidriri, M. D. Parallel implicit methods for aerodynamics. (English) Zbl 0818.76065 Keyes, David E. (ed.) et al., Domain decomposition methods in scientific and engineering computing. Proceedings of the 7th international conference on domain decomposition, October 27-30, 1993, Pennsylvania State University, PA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 180, 465-470 (1994). MSC: 76M25 76N10 65Y05 65N55 PDFBibTeX XMLCite \textit{X. C. Cai} et al., Contemp. Math. 180, 465--470 (1994; Zbl 0818.76065)
Gropp, William D.; Keyes, David E.; Mounts, Jon S. Implicit domain decomposition algorithms for steady, compressible aerodynamics. (English) Zbl 0796.76067 Quarteroni, Alfio (ed.) et al., Domain decomposition methods in science and engineering. The sixth international conference on domain decomposition, Como, Italy, June 15-19, 1992. Providence, RI: American Mathematical Society. Contemp. Math. 157, 203-213 (1994). MSC: 76M25 65N55 76H05 PDFBibTeX XMLCite \textit{W. D. Gropp} et al., Contemp. Math. 157, 203--213 (1994; Zbl 0796.76067)
Cai, X.-C.; Gropp, W. D.; Keyes, D. E.; Tidriri, M. D. Newton-Krylov-Schwarz methods in CFD. (English) Zbl 0876.76059 Hebeker, Friedrich-Karl (ed.) et al., Numerical methods for the Navier-Stokes equations. Proceedings of the international workshop held, Heidelberg, Germany, October 25-28, 1993. Braunschweig: Vieweg. Notes Numer. Fluid Mech. 47, 17-30 (1994). MSC: 76M25 76N10 76R99 PDFBibTeX XMLCite \textit{X. C. Cai} et al., Notes Numer. Fluid Mech. 47, 17--30 (1994; Zbl 0876.76059)
Gropp, William D.; Keyes, David E. Domain decomposition methods in computational fluid dynamics. (English) Zbl 0745.76062 Int. J. Numer. Methods Fluids 14, No. 2, 147-165 (1992). MSC: 76M25 65N55 65M55 PDFBibTeX XMLCite \textit{W. D. Gropp} and \textit{D. E. Keyes}, Int. J. Numer. Methods Fluids 14, No. 2, 147--165 (1992; Zbl 0745.76062) Full Text: DOI Link
Keyes, David E. Domain decomposition methods for the parallel computation of reacting flows. (English) Zbl 0804.76066 Comput. Phys. Commun. 53, No. 1-3, 181-200 (1989). MSC: 76M25 76V05 76M20 65N55 65Y05 PDFBibTeX XMLCite \textit{D. E. Keyes}, Comput. Phys. Commun. 53, No. 1--3, 181--200 (1989; Zbl 0804.76066) Full Text: DOI Link