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
Alzahrani, Hasnaa; Turkiyyah, George; Knio, Omar; Keyes, David Space-fractional diffusion with variable order and diffusivity: discretization and direct solution strategies. (English) Zbl 1513.35511 Commun. Appl. Math. Comput. 4, No. 4, 1416-1440 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 35R11 65F55 65R20 PDFBibTeX XMLCite \textit{H. Alzahrani} et al., Commun. Appl. Math. Comput. 4, No. 4, 1416--1440 (2022; Zbl 1513.35511) Full Text: DOI arXiv
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
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
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
Huang, Jingfang; Cao, Jian; Fang, Fuhui; Genton, Marc G.; Keyes, David E.; Turkiyyah, George An \(O(N)\) algorithm for computing expectation of \(N\)-dimensional truncated multi-variate normal distribution. I: Fundamentals. (English) Zbl 07400547 Adv. Comput. Math. 47, No. 5, Paper No. 65, 34 p. (2021). MSC: 03D20 34B27 62H10 65C60 65D30 65T40 PDFBibTeX XMLCite \textit{J. Huang} et al., Adv. Comput. Math. 47, No. 5, Paper No. 65, 34 p. (2021; Zbl 07400547) 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
Cao, Jian; Genton, Marc G.; Keyes, David E.; Turkiyyah, George M. Exploiting low-rank covariance structures for computing high-dimensional normal and Student-\(t\) probabilities. (English) Zbl 1461.62014 Stat. Comput. 31, No. 1, Paper No. 2, 16 p. (2021). MSC: 62-08 62M30 65C05 PDFBibTeX XMLCite \textit{J. Cao} et al., Stat. Comput. 31, No. 1, Paper No. 2, 16 p. (2021; Zbl 1461.62014) Full Text: DOI arXiv
Cao, Jian; Genton, Marc G.; Keyes, David E.; Turkiyyah, George M. Sum of Kronecker products representation and its Cholesky factorization for spatial covariance matrices from large grids. (English) Zbl 1510.62021 Comput. Stat. Data Anal. 157, Article ID 107165, 15 p. (2021). MSC: 62-08 65F55 PDFBibTeX XMLCite \textit{J. Cao} et al., Comput. Stat. Data Anal. 157, Article ID 107165, 15 p. (2021; Zbl 1510.62021) 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
Gao, Longfei; Keyes, David Simultaneous approximation terms for elastic wave equations on nonuniform grids. (English) Zbl 1509.65134 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, 125-133 (2020). MSC: 65N55 65N50 65N06 65M20 86A15 35Q86 35Q74 35R35 PDFBibTeX XMLCite \textit{L. Gao} and \textit{D. Keyes}, Lect. Notes Comput. Sci. Eng. 138, 125--133 (2020; Zbl 1509.65134) Full Text: DOI arXiv
Boukaram, Wajih; Lucchesi, Marco; Turkiyyah, George; Le Maître, Olivier; Knio, Omar; Keyes, David Hierarchical matrix approximations for space-fractional diffusion equations. (English) Zbl 1506.65142 Comput. Methods Appl. Mech. Eng. 369, Article ID 113191, 21 p. (2020). MSC: 65M22 65Y10 PDFBibTeX XMLCite \textit{W. Boukaram} et al., Comput. Methods Appl. Mech. Eng. 369, Article ID 113191, 21 p. (2020; Zbl 1506.65142) Full Text: DOI HAL
Keyes, D. E.; Ltaief, H.; Turkiyyah, G. Hierarchical algorithms on hierarchical architectures. (English) Zbl 1462.65048 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2166, Article ID 20190055, 16 p. (2020). MSC: 65F99 15A23 PDFBibTeX XMLCite \textit{D. E. Keyes} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2166, Article ID 20190055, 16 p. (2020; Zbl 1462.65048) 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
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
Cao, Jian; Genton, Marc G.; Keyes, David E.; Turkiyyah, George M. Hierarchical-block conditioning approximations for high-dimensional multivariate normal probabilities. (English) Zbl 1430.62094 Stat. Comput. 29, No. 3, 585-598 (2019). MSC: 62G30 62H12 65C05 PDFBibTeX XMLCite \textit{J. Cao} et al., Stat. Comput. 29, No. 3, 585--598 (2019; Zbl 1430.62094) Full Text: DOI Link
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
Charara, Ali; Keyes, David; Ltaief, Hatem Batched triangular dense linear algebra kernels for very small matrix sizes on GPUs. (English) Zbl 1471.65028 ACM Trans. Math. Softw. 45, No. 2, Article No. 15, 28 p. (2019). MSC: 65F99 65Y10 65Y15 PDFBibTeX XMLCite \textit{A. Charara} et al., ACM Trans. Math. Softw. 45, No. 2, Article No. 15, 28 p. (2019; Zbl 1471.65028) Full Text: DOI Link
Boukaram, Wajih; Turkiyyah, George; Keyes, David Hierarchical matrix operations on GPUs. Matrix-vector multiplication and compression. (English) Zbl 1471.65027 ACM Trans. Math. Softw. 45, No. 1, Article No. 3, 28 p. (2019). MSC: 65F99 65Y10 PDFBibTeX XMLCite \textit{W. Boukaram} et al., ACM Trans. Math. Softw. 45, No. 1, Article No. 3, 28 p. (2019; Zbl 1471.65027) Full Text: DOI arXiv
Litvinenko, Alexander; Keyes, David; Khoromskaia, Venera; Khoromskij, Boris N.; Matthies, Hermann G. Tucker tensor analysis of Matérn functions in spatial statistics. (English) Zbl 1420.60084 Comput. Methods Appl. Math. 19, No. 1, 101-122 (2019). MSC: 60H15 60H35 65N25 PDFBibTeX XMLCite \textit{A. Litvinenko} et al., Comput. Methods Appl. Math. 19, No. 1, 101--122 (2019; Zbl 1420.60084) Full Text: 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
Gao, Longfei; Keyes, David Combining finite element and finite difference methods for isotropic elastic wave simulations in an energy-conserving manner. (English) Zbl 1416.65263 J. Comput. Phys. 378, 665-685 (2019). MSC: 65M06 65M60 86A15 86-08 74J05 PDFBibTeX XMLCite \textit{L. Gao} and \textit{D. Keyes}, J. Comput. Phys. 378, 665--685 (2019; Zbl 1416.65263) Full Text: DOI arXiv Link
Litvinenko, Alexander; Sun, Ying; Genton, Marc G.; Keyes, David E. Likelihood approximation with hierarchical matrices for large spatial datasets. (English) Zbl 1507.62110 Comput. Stat. Data Anal. 137, 115-132 (2019). MSC: 62-08 62M30 65F55 PDFBibTeX XMLCite \textit{A. Litvinenko} et al., Comput. Stat. Data Anal. 137, 115--132 (2019; Zbl 1507.62110) 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
Ibeid, Huda; Yokota, Rio; Pestana, Jennifer; Keyes, David Fast multipole preconditioners for sparse matrices arising from elliptic equations. (English) Zbl 1398.65039 Comput. Vis. Sci. 18, No. 6, 213-229 (2018). MSC: 65F08 65F10 65F50 PDFBibTeX XMLCite \textit{H. Ibeid} et al., Comput. Vis. Sci. 18, No. 6, 213--229 (2018; Zbl 1398.65039) Full Text: DOI arXiv
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
Huang, Jingfang; Fang, Fuhui; Turkiyyah, George; Cao, Jian; Genton, Marc G.; Keyes, David E. O(N) Hierarchical algorithm for computing the expectations of truncated multi-variate normal distributions in N dimensions. arXiv:1809.08315 Preprint, arXiv:1809.08315 [math.NA] (2018). MSC: 03D20 34B27 62H10 65C60 65D30 65T40 BibTeX Cite \textit{J. Huang} et al., ``O(N) Hierarchical algorithm for computing the expectations of truncated multi-variate normal distributions in N dimensions'', Preprint, arXiv:1809.08315 [math.NA] (2018) Full Text: arXiv OA License
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
Lee, Chang-Ock (ed.); Cai, Xiao-Chuan (ed.); Keyes, David E. (ed.); Kim, Hyea Hyun (ed.); Klawonn, Axel (ed.); Park, Eun-Jae (ed.); Widlund, Olof B. (ed.) Domain decomposition methods in science and engineering XXIII. Proceedings of the 23rd international conference, Jeju Island, South Korea, July 6–10, 2015. (English) Zbl 1371.65003 Lecture Notes in Computational Science and Engineering 116. Cham: Springer (ISBN 978-3-319-52388-0/hbk; 978-3-319-52389-7/ebook). xviii, 415 p. (2017). MSC: 65-06 65M55 65N55 00B25 PDFBibTeX XMLCite \textit{C.-O. Lee} (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 (2017; Zbl 1371.65003) Full Text: DOI
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
Charara, Ali; Ltaief, Hatem; Keyes, David Redesigning triangular dense matrix computations on GPUs. (English) Zbl 1439.65233 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, 477-489 (2016). MSC: 65Y10 68M14 65F99 PDFBibTeX XMLCite \textit{A. Charara} et al., Lect. Notes Comput. Sci. 9833, 477--489 (2016; Zbl 1439.65233) Full Text: DOI Link
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
Abdelfattah, Ahmad; Keyes, David; Ltaief, Hatem KBLAS: an optimized library for dense matrix-vector multiplication on GPU accelerators. (English) Zbl 1369.65042 ACM Trans. Math. Softw. 42, No. 3, Article No. 18, 31 p. (2016). MSC: 65Fxx 65Y10 65Y15 65Y20 PDFBibTeX XMLCite \textit{A. Abdelfattah} et al., ACM Trans. Math. Softw. 42, No. 3, Article No. 18, 31 p. (2016; Zbl 1369.65042) Full Text: DOI arXiv
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
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
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
Yang, Chao; Cai, Xiao-Chuan; Keyes, David E.; Pernice, Michael NKS method for the implicit solution of a coupled Allen-Cahn/Cahn-Hilliard system. (English) Zbl 1465.35343 Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer. Lect. Notes Comput. Sci. Eng. 98, 819-827 (2014). MSC: 35Q35 65M06 PDFBibTeX XMLCite \textit{C. Yang} et al., Lect. Notes Comput. Sci. Eng. 98, 819--827 (2014; Zbl 1465.35343) Full Text: DOI
He, Yuan; Keyes, David E. Large-scale parameter extraction in electrocardiology models through Born approximation. (English) Zbl 1303.92051 Inverse Probl. 29, No. 1, Article ID 015001, 25 p. (2013). MSC: 92C55 65J22 78A70 PDFBibTeX XMLCite \textit{Y. He} and \textit{D. E. Keyes}, Inverse Probl. 29, No. 1, Article ID 015001, 25 p. (2013; Zbl 1303.92051) Full Text: DOI
Yuan, Xuefei; Jardin, Stephen C.; Keyes, David E. Numerical simulation of four-field extended magnetohydrodynamics in dynamically adaptive curvilinear coordinates via Newton-Krylov-Schwarz. (English) Zbl 1277.49037 J. Comput. Phys. 231, No. 17, 5822-5853 (2012). MSC: 49M15 35G20 65M99 PDFBibTeX XMLCite \textit{X. Yuan} et al., J. Comput. Phys. 231, No. 17, 5822--5853 (2012; Zbl 1277.49037) Full Text: DOI
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
Berger-Vergiat, Luc; Waisman, Haim; Hiriyur, Badri; Tuminaro, Ray; Keyes, David Inexact Schwarz-algebraic multigrid preconditioners for crack problems modeled by extended finite element methods. (English) Zbl 1242.74094 Int. J. Numer. Methods Eng. 90, No. 3, 311-328 (2012). MSC: 74S05 74R10 65N55 PDFBibTeX XMLCite \textit{L. Berger-Vergiat} et al., Int. J. Numer. Methods Eng. 90, No. 3, 311--328 (2012; Zbl 1242.74094) 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
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
Mallet, V.; Keyes, D. E.; Fendell, F. E. Modeling wildland fire propagation with level set methods. (English) Zbl 1186.65140 Comput. Math. Appl. 57, No. 7, 1089-1101 (2009). MSC: 65N06 35Q79 35Q92 35F20 PDFBibTeX XMLCite \textit{V. Mallet} et al., Comput. Math. Appl. 57, No. 7, 1089--1101 (2009; Zbl 1186.65140) Full Text: DOI arXiv
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)
Langer, Ulrich (ed.); Discacciati, Marco (ed.); Keyes, David (ed.); Widlund, Olof (ed.); Zulehner, Walter (ed.) 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. (English) Zbl 1130.65004 Lecture Notes in Computational Science and Engineering 60. Berlin: Springer (ISBN 978-3-540-75198-4/pbk). xix, 655 p. (2008). MSC: 65-06 00B25 PDFBibTeX XMLCite \textit{U. Langer} (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 (2008; Zbl 1130.65004) 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
Herrera, Ismael (ed.); Keyes, David E. (ed.); Widlund, Olof B. (ed.); Yates, Robert (ed.) Domain decomposition methods in science and engineering. XIV. Papers from the 14th international conference on domain decomposition methods, Cocoyoc, México, January 6–12, 2002. (English) Zbl 1103.65004 México: National Autonomous University of México (UNAM) (ISBN 82-994951-1-3). xiv, 490, electronic. (2003). MSC: 65-06 65M55 65N55 00B25 PDFBibTeX XMLCite \textit{I. Herrera} (ed.) et al., Domain decomposition methods in science and engineering. XIV. Papers from the 14th international conference on domain decomposition methods, Cocoyoc, México, January 6--12, 2002. México: National Autonomous University of México (UNAM) (2003; Zbl 1103.65004)
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.; 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)
Debit, N. (ed.); Garbey, M. (ed.); Hoppe, R. (ed.); Keyes, D. (ed.); Kuznetsov, Y. (ed.); Périaux, J. (ed.) Domain decomposition methods in science and engineering. XIII. Papers of the thirteenth international conference on domain decomposition methods, Lyon, France, October 9–12, 2000. (English) Zbl 1011.00036 Theory and Engineering Applications of Computational Methods. Barcelona: International Center for Numerical Methods in Engineering (CIMNE). xvi, 511 p. (2002). MSC: 00B25 65-06 PDFBibTeX XMLCite \textit{N. Debit} (ed.) et al., 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) (2002; Zbl 1011.00036)
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)
Keyes, David E. (ed.); Saad, Youcef (ed.); Truhlar, Donald G. (ed.) Domain-based parallelism and problem decomposition methods in computational science and engineering. (English) Zbl 0829.00009 Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xvi, 323 p. (1995). MSC: 00B15 65-06 65Yxx PDFBibTeX XMLCite \textit{D. E. Keyes} (ed.) et al., Domain-based parallelism and problem decomposition methods in computational science and engineering. Philadelphia, PA: SIAM (1995; Zbl 0829.00009)
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
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)
Keyes, David E. (ed.); Xu, Jinchao (ed.) 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. (English) Zbl 0809.00026 Contemporary Mathematics. 180. Providence, RI: American Mathematical Society (AMS). xxvii, 546 p. (1994). MSC: 00B25 65-06 68-06 PDFBibTeX XMLCite \textit{D. E. Keyes} (ed.) and \textit{J. Xu} (ed.), 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 (1994; Zbl 0809.00026) Full Text: DOI
Prasad, K. Guru; Kane, J. H.; Keyes, D. E.; Balakrishna, C. Preconditioned Krylov solvers for BEA. (English) Zbl 0800.73504 Int. J. Numer. Methods Eng. 37, No. 10, 1651-1672 (1994). MSC: 74S15 65N38 PDFBibTeX XMLCite \textit{K. G. Prasad} et al., Int. J. Numer. Methods Eng. 37, No. 10, 1651--1672 (1994; Zbl 0800.73504) 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
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)
Gropp, William D.; Keyes, David E. Domain decomposition as a mechanism for using asymptotic methods. (English) Zbl 0808.65124 Kaper, Hans G. (ed.) et al., Asymptotic and numerical methods for partial differential equations with critical parameters. Proceedings of the NATO Advanced Research Workshop on asymptotic-induced numerical methods for partial differential equations, critical parameters, and domain decomposition, Beaune (France), May 25-28, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 384, 93-105 (1993). Reviewer: J.R.Kuttler (Laurel) MSC: 65N55 65N50 65N06 35B40 35J25 35B25 PDFBibTeX XMLCite \textit{W. D. Gropp} and \textit{D. E. Keyes}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 384, 93--105 (1993; Zbl 0808.65124)
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. Domain decomposition with local mesh refinement. (English) Zbl 0756.65045 SIAM J. Sci. Stat. Comput. 13, No. 4, 967-993 (1992). Reviewer: R.Redlinger (Karlsruhe) MSC: 65F10 65N55 65N50 65N22 35J25 PDFBibTeX XMLCite \textit{W. D. Gropp} and \textit{D. E. Keyes}, SIAM J. Sci. Stat. Comput. 13, No. 4, 967--993 (1992; Zbl 0756.65045) Full Text: DOI Link
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. (ed.); Chan, Tony F. (ed.); Meurant, Gérard (ed.); Scroggs, Jeffrey S. (ed.); Voigt, Robert G. (ed.) Fifth international SIAM symposium on domain decomposition methods for partial differential equations, held in Norfolk, Virginia, USA, May 6-8, 1991. (English) Zbl 0758.00015 Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xiii, 623 (1992). MSC: 00B25 35-06 65-06 PDFBibTeX XMLCite \textit{D. E. Keyes} (ed.) et al., Fifth international SIAM symposium on domain decomposition methods for partial differential equations, held in Norfolk, Virginia, USA, May 6-8, 1991. Philadelphia, PA: SIAM (1992; Zbl 0758.00015)
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
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E. A comparison of some domain decomposition algorithms for nonsymmetric ellliptic problems. (English) Zbl 0770.65079 Domain decomposition methods for partial differential equations, Proc. 5th Int. SIAM Symp., Norfolk/VA (USA) 1991, 224-235 (1992). MSC: 65N55 65F10 35J25 PDFBibTeX XMLCite \textit{X.-C. Cai} et al., in: Fifth international SIAM symposium on domain decomposition methods for partial differential equations, held in Norfolk, Virginia, USA, May 6-8, 1991. Philadelphia, PA: SIAM. 224--235 (1992; Zbl 0770.65079)
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E. Convergence rate estimate for a domain decomposition method. (English) Zbl 0727.65105 Numer. Math. 61, No. 2, 153-170 (1991). Reviewer: X.-C.Cai (Lexington, KY) MSC: 65N55 65N30 65F10 35J25 PDFBibTeX XMLCite \textit{X.-C. Cai} et al., Numer. Math. 61, No. 2, 153--170 (1991; Zbl 0727.65105) Full Text: DOI EuDML
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
Gropp, William; Keyes, David E. A domain decomposition method with locally uniform mesh refinement. (English) Zbl 0701.65079 Domain decomposition methods for partial differential equations, Proc. 3rd Int. Symp. Houston/TX (USA) 1989, 115-129 (1990). Reviewer: P.Kloucek MSC: 65N55 65N50 35J25 65F10 PDFBibTeX XML