Zampini, Stefano; Zerbinati, Umberto; Turkiyyah, George; Keyes, David PETScML: Second-order solvers for training regression problems in Scientific Machine Learning. arXiv:2403.12188 Preprint, arXiv:2403.12188 [cs.LG] (2024). MSC: 65K10 68T07 65M70 65Y05 BibTeX Cite \textit{S. Zampini} et al., ``PETScML: Second-order solvers for training regression problems in Scientific Machine Learning'', Preprint, arXiv:2403.12188 [cs.LG] (2024) Full Text: arXiv OA License
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
Zampini, Stefano; Boukaram, Wajih; Turkiyyah, George; Knio, Omar; Keyes, David H2Opus: a distributed-memory multi-GPU software package for non-local operators. (English) Zbl 1492.65003 Adv. Comput. Math. 48, No. 3, Paper No. 31, 32 p. (2022). MSC: 65-04 65Y05 65F55 65R20 PDFBibTeX XMLCite \textit{S. Zampini} et al., Adv. Comput. Math. 48, No. 3, Paper No. 31, 32 p. (2022; Zbl 1492.65003) 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
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; 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
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
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
Sukkari, Dalal; Ltaief, Hatem; Esposito, Aniello; Keyes, David A QDWH-based SVD software framework on distributed-memory manycore systems. (English) Zbl 1471.65023 ACM Trans. Math. Softw. 45, No. 2, Article No. 18, 21 p. (2019). MSC: 65F15 65Y10 PDFBibTeX XMLCite \textit{D. Sukkari} et al., ACM Trans. Math. Softw. 45, No. 2, Article No. 18, 21 p. (2019; Zbl 1471.65023) Full Text: DOI Link
Chávez, Gustavo; Turkiyyah, George; Zampini, Stefano; Keyes, David Parallel accelerated cyclic reduction preconditioner for three-dimensional elliptic PDEs with variable coefficients. (English) Zbl 1460.65028 J. Comput. Appl. Math. 344, 760-781 (2018). MSC: 65F08 65N22 65Y05 PDFBibTeX XMLCite \textit{G. Chávez} et al., J. Comput. Appl. Math. 344, 760--781 (2018; Zbl 1460.65028) 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
Chávez, Gustavo; Turkiyyah, George; Keyes, David E. A direct elliptic solver based on hierarchically low-rank Schur complements. (English) Zbl 1367.65149 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, 135-143 (2017). MSC: 65F05 65F50 65N22 65Y05 PDFBibTeX XMLCite \textit{G. Chávez} et al., Lect. Notes Comput. Sci. Eng. 116, 135--143 (2017; Zbl 1367.65149) Full Text: DOI arXiv
Sukkari, Dalal; Ltaief, Hatem; Keyes, David High performance polar decomposition on distributed memory systems. (English) Zbl 1439.65062 Dutot, Pierre-François (ed.) et al., Euro-Par 2016: parallel processing. 22nd international conference on parallel and distributed computing, Grenoble, France, August 24–26, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9833, 605-616 (2016). MSC: 65F99 65Y05 68M07 PDFBibTeX XMLCite \textit{D. Sukkari} et al., Lect. Notes Comput. Sci. 9833, 605--616 (2016; Zbl 1439.65062) Full Text: DOI
Sukkari, Dalal; Ltaief, Hatem; Keyes, David A high performance QDWH-SVD solver using hardware accelerators. (English) Zbl 1369.65058 ACM Trans. Math. Softw. 43, No. 1, Article No. 6, 25 p. (2016). MSC: 65F15 15A23 65Y10 65Y20 PDFBibTeX XMLCite \textit{D. Sukkari} et al., ACM Trans. Math. Softw. 43, No. 1, Article No. 6, 25 p. (2016; Zbl 1369.65058) Full Text: DOI Link
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
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
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
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
Ahmadia, Aron; Keyes, David; Melville, David; Rosenbluth, Alan; Tian, Kehan Distributed decomposition over hyperspherical domains. (English) Zbl 1183.65060 Bercovier, Michel (ed.) et al., Domain decomposition methods in science and engineering XVIII. Selected papers based on the presentations at the 18th international conference of domain decomposition methods, Jerusalem, Israel, January 12–17, 2008. Berlin: Springer (ISBN 978-3-642-02676-8/hbk; 978-3-642-04466-3/ebook). Lecture Notes in Computational Science and Engineering 70, 251-258 (2009). MSC: 65K05 90C05 65Y05 82D37 PDFBibTeX XMLCite \textit{A. Ahmadia} et al., Lect. Notes Comput. Sci. Eng. 70, 251--258 (2009; Zbl 1183.65060) Full Text: DOI
He, Yuan; Keyes, David E. PDE-based parameter reconstruction through Schur and Schwarz decompositions. (English) Zbl 1139.65313 Langer, Ulrich (ed.) et al., Domain decomposition methods in science and engineering XVII. Selected papers based on the presentations at the 17th international conference on domain decomposition methods, St. Wolfgang/Strobl, Austria, July 3–7, 2006. Berlin: Springer (ISBN 978-3-540-75198-4/pbk). Lecture Notes in Computational Science and Engineering 60, 543-550 (2008). MSC: 65M32 35K57 35R30 92C55 65Y05 PDFBibTeX XMLCite \textit{Y. He} and \textit{D. E. Keyes}, Lect. Notes Comput. Sci. Eng. 60, 543--550 (2008; Zbl 1139.65313)
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
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
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, 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)
McInnes, L. C.; Susan-Resiga, R.; Atassi, H. M.; Keyes, D. E. Parallel solution of Helmholtz problems using additive Schwarz methods. (English) Zbl 0940.65121 DeSanto, John A. (ed.), Mathematical and numerical aspects of wave propagation. Proceedings of the 4th international conference held at Mines in Golden, CO, USA, June 1-5, 1998. Philadelphia, PA: SIAM. Proc. Appl. Math. 623-625 (1998). MSC: 65N30 65F10 65Y05 65F35 35J05 PDFBibTeX XMLCite \textit{L. C. McInnes} et al., Proc. Appl. Math. 623--625, 623--625 (1998; Zbl 0940.65121)
Wu, Yunhai; Cai, Xiao-Chuan; Keyes, David E. Additive Schwarz methods for hyperbolic equations. (English) Zbl 0909.65062 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, 468-476 (1998). MSC: 65M55 65M60 65M12 65Y05 35L45 65F10 65F35 PDFBibTeX XMLCite \textit{Y. Wu} et al., Contemp. Math. 218, 468--476 (1998; Zbl 0909.65062)
McInnes, Lois C.; Susan-Resiga, Romeo F.; Keyes, David E.; Atassi, Hafiz M. Additive Schwarz methods with nonreflecting boundary conditions for the parallel computation of Helmholtz problems. (English) Zbl 0910.65086 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, 325-333 (1998). MSC: 65N55 65N30 65Y05 35J05 65F10 65F35 PDFBibTeX XMLCite \textit{L. C. McInnes} et al., Contemp. Math. 218, 325--333 (1998; Zbl 0910.65086)
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)
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
Kelley, C. T.; Keyes, David E. Convergence analysis of pseudo-transient continuation. (English) Zbl 0911.65080 SIAM J. Numer. Anal. 35, No. 2, 508-523 (1998). Reviewer: K.Najzar (Praha) MSC: 65M20 65M12 65L05 65H10 35K55 PDFBibTeX XMLCite \textit{C. T. Kelley} and \textit{D. E. Keyes}, SIAM J. Numer. Anal. 35, No. 2, 508--523 (1998; Zbl 0911.65080) Full Text: DOI
Keyes, David E. Parallel numerical algorithms: An introduction. (English) Zbl 0865.65108 Keyes, David E. (ed.) et al., Parallel numerical algorithms. Proceedings of the workshop, Hampton, VA, May 23–25, 1994. Dordrecht: Kluwer Academic Publishers. ICASE/LaRC Interdisciplinary Series in Science and Engineering. 4, 1-15 (1997). MSC: 65Y05 65-02 65Fxx PDFBibTeX XMLCite \textit{D. E. Keyes}, in: Parallel numerical algorithms. Proceedings of the workshop, Hampton, VA, May 23--25, 1994. Dordrecht: Kluwer Academic Publishers. 1--15 (1997; Zbl 0865.65108)
Keyes, David E. (ed.); Sameh, Ahmed (ed.); Venkatakrishnan, V. (ed.) Parallel numerical algorithms. Proceedings of the workshop, Hampton, VA, May 23–25, 1994. (English) Zbl 0857.00034 ICASE/LaRC Interdisciplinary Series in Science and Engineering. 4. Dordrecht: Kluwer Academic Publishers. xi, 395 p. 0 (1997). MSC: 00B25 65-06 68W15 65Y05 68-06 PDFBibTeX XMLCite \textit{D. E. Keyes} (ed.) et al., Parallel numerical algorithms. Proceedings of the workshop, Hampton, VA, May 23--25, 1994. Dordrecht: Kluwer Academic Publishers (1997; Zbl 0857.00034)
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)
Keyes, D. E.; Venkatakrishnan, V. Newton-Krylov-Schwarz methods: Interfacing sparse linear solvers with nonlinear applications. (English) Zbl 0900.65158 Z. Angew. Math. Mech. 76, Suppl. 1, 147-150 (1996). MSC: 65H10 PDFBibTeX XMLCite \textit{D. E. Keyes} and \textit{V. Venkatakrishnan}, Z. Angew. Math. Mech. 76, 147--150 (1996; Zbl 0900.65158)
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)
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E. A comparison of some domain decomposition and ILU preconditioned iterative methods for nonsymmetric elliptic problems. (English) Zbl 0838.65025 Numer. Linear Algebra Appl. 1, No. 5, 477-504 (1994). MSC: 65F10 65F35 65N06 65N55 35J25 PDFBibTeX XMLCite \textit{X.-C. Cai} et al., Numer. Linear Algebra Appl. 1, No. 5, 477--504 (1994; Zbl 0838.65025) Full Text: DOI
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)
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
Sincovec, Richard F. (ed.); Keyes, David E. (ed.); Leuze, Michael R. (ed.); Petzold, Linda R. (ed.); Reed, Daniel A. (ed.) Proceedings of the sixth SIAM conference on parallel processing for scientific computing, held at Norfolk, VA (USA), March 22-24, 1993. Volumes I, II. (English) Zbl 0774.65002 Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xix, 1046 p. (1993). MSC: 65-06 65Y05 00B25 68W15 PDFBibTeX XMLCite \textit{R. F. Sincovec} (ed.) et al., Proceedings of the sixth SIAM conference on parallel processing for scientific computing, held at Norfolk, VA (USA), March 22-24, 1993. Volumes I, II. Philadelphia, PA: SIAM (1993; Zbl 0774.65002)
Gropp, William D.; Keyes, David E. Parallel performance of domain-decomposed preconditioned Krylov methods for PDEs with locally uniform refinement. (English) Zbl 0752.65083 SIAM J. Sci. Stat. Comput. 13, No. 1, 128-145 (1992). Reviewer: S.K.Rangarajan (Karaikudi) MSC: 65N55 65Y05 65F10 35J25 65Y20 PDFBibTeX XMLCite \textit{W. D. Gropp} and \textit{D. E. Keyes}, SIAM J. Sci. Stat. Comput. 13, No. 1, 128--145 (1992; Zbl 0752.65083) Full Text: DOI
Gropp, William D.; Keyes, David E. Parallel domain decomposition and the solution of nonlinear systems of equations. (English) Zbl 0767.65040 Fourth international symposium on domain decomposition methods for partial differential equations, Proc. Symp., Moscow/Russ. 1990, 373-381 (1991). MSC: 65H10 65Y05 PDFBibTeX XMLCite \textit{W. D. Gropp} and \textit{D. E. Keyes}, in: Fourth international symposium on domain decomposition methods for partial differential equations. Proceedings of the symposium, held at Moscow, Russia, in May 21-25, 1990. Philadelphia, PA: SIAM. 373--381 (1991; Zbl 0767.65040)
Keyes, David E.; Gropp, William D. Domain-decomposable preconditioners for second-order upwind discretizations of multicomponent systems. (English) Zbl 0766.65103 Fourth international symposium on domain decomposition methods for partial differential equations, Proc. Symp., Moscow/Russ. 1990, 129-139 (1991). MSC: 65N55 65F35 65Y05 35K57 PDFBibTeX XMLCite \textit{D. E. Keyes} and \textit{W. D. Gropp}, in: Fourth international symposium on domain decomposition methods for partial differential equations. Proceedings of the symposium, held at Moscow, Russia, in May 21-25, 1990. Philadelphia, PA: SIAM. 129--139 (1991; Zbl 0766.65103)
Chan, Tony F.; Keyes, David E. Interface preconditionings for domain-decomposed convection-diffusion operators. (English) Zbl 0722.65060 Domain decomposition methods for partial differential equations, Proc. 3rd Int. Symp. Houston/TX (USA) 1989, 245-262 (1990). Reviewer: J.Mandel (Denver) MSC: 65N55 65F10 35J70 65F35 PDFBibTeX XML
Keyes, David E.; Gropp, William D. Domain decomposition techniques for the parallel solution of nonsymmetric systems of elliptic boundary value problems. (English) Zbl 0694.65048 Appl. Numer. Math. 6, No. 4, 281-301 (1990). Reviewer: J.Albrycht MSC: 65N22 65F10 80A32 35J25 PDFBibTeX XMLCite \textit{D. E. Keyes} and \textit{W. D. Gropp}, Appl. Numer. Math. 6, No. 4, 281--301 (1990; Zbl 0694.65048) Full Text: DOI
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
Gropp, William D.; Keyes, David E. Domain decomposition on parallel computers. (English) Zbl 0703.65078 IMPACT Comput. Sci. Eng. 1, No. 4, 421-439 (1989). Reviewer: P.K.Mahanti MSC: 65N55 65F10 68Q25 65Y05 65Y20 PDFBibTeX XMLCite \textit{W. D. Gropp} and \textit{D. E. Keyes}, IMPACT Comput. Sci. Eng. 1, No. 4, 421--439 (1989; Zbl 0703.65078) Full Text: DOI
Gropp, William D.; Keyes, David E. Domain decomposition on parallel computers. (English) Zbl 0681.68030 Domain decomposition methods, Proc. 2nd Int. Symp., Los Angeles/Calif 1988, 260-268 (1989). MSC: 68N25 68N99 65F50 65Y05 PDFBibTeX XML
Gropp, William D.; Keyes, David E. Complexity of parallel implementation of domain decomposition techniques for elliptic partial differential equations. (English) Zbl 0645.65069 SIAM J. Sci. Stat. Comput. 9, No. 2, 312-326 (1988). Reviewer: G.Stoyan MSC: 65N22 65Y05 68Q25 65F10 35J25 PDFBibTeX XMLCite \textit{W. D. Gropp} and \textit{D. E. Keyes}, SIAM J. Sci. Stat. Comput. 9, No. 2, 312--326 (1988; Zbl 0645.65069) Full Text: DOI
Keyes, David E.; Gropp, William D. A comparison of domain decomposition techniques for elliptic partial differential equations and their parallel implementation. (English) Zbl 0619.65088 SIAM J. Sci. Stat. Comput. 8, S166-S202 (1987). Reviewer: W.Schönauer MSC: 65N22 65F35 65F10 35J25 65Y05 PDFBibTeX XMLCite \textit{D. E. Keyes} and \textit{W. D. Gropp}, SIAM J. Sci. Stat. Comput. 8, S166--S202 (1987; Zbl 0619.65088) Full Text: DOI