Leveque, Santolo; Bergamaschi, Luca; Martínez, Ángeles; Pearson, John W. Parallel-in-time solver for the all-at-once Runge-Kutta discretization. (English) Zbl 07931233 SIAM J. Matrix Anal. Appl. 45, No. 4, 1902-1928 (2024). MSC: 65F08 65F10 65N22 65L06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Zhongshu; Dong, Haixia; Ying, Wenjun An FFT-based MAC scheme for Stokes equations with periodic boundary conditions and its application to elasticity problems. (English) Zbl 07829080 J. Comput. Appl. Math. 439, Article ID 115624, 21 p. (2024). MSC: 76M20 76D07 74B05 × Cite Format Result Cite Review PDF Full Text: DOI
Fehling, Marc; Bangerth, Wolfgang Algorithms for parallel generic \(hp\)-adaptive finite element software. (English) Zbl 07910040 ACM Trans. Math. Softw. 49, No. 3, Article No. 25, 26 p. (2023). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saberi, S.; Meschke, G.; Vogel, A. Adaptive geometric multigrid for the mixed finite cell formulation of Stokes and Navier-Stokes equations. (English) Zbl 07847171 Int. J. Numer. Methods Fluids 95, No. 7, 1035-1053 (2023). MSC: 76-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Papadopoulos, Ioannis P. A.; Farrell, Patrick E. Preconditioners for computing multiple solutions in three-dimensional fluid topology optimization. (English) Zbl 1533.65046 SIAM J. Sci. Comput. 45, No. 6, B853-B883 (2023). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65F08 65K10 65N55 35Q35 49M15 90C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aznaran, Francis R. A.; Farrell, Patrick E.; Kirby, Robert C. Transformations for Piola-mapped elements. (English) Zbl 1528.65099 SMAI J. Comput. Math. 8, 399-437 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N55 65F08 65F10 76D07 74B10 35A15 68W30 78M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, Yani; Liao, Qifeng; Silvester, David Robin-type domain decomposition with stabilized mixed approximation for incompressible flow. (English) Zbl 1538.76105 Comput. Math. Appl. 147, 53-63 (2023). MSC: 76M10 65N30 65N55 65F10 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Bradley, Susanne; Greif, Chen Eigenvalue bounds for saddle-point systems with singular leading blocks. (English) Zbl 07697411 J. Comput. Appl. Math. 424, Article ID 114996, 11 p. (2023). MSC: 65Fxx 65Nxx 90Cxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaur, Avleen; Lui, S. H. New lower bounds on the minimum singular value of a matrix. (English) Zbl 1515.15011 Linear Algebra Appl. 666, 62-95 (2023). MSC: 15A18 15A42 15A60 15B57 × Cite Format Result Cite Review PDF Full Text: DOI
Qiu, Songqiang On the componentwise boundedness away from zero of iterates generated by stabilized interior point methods. (English) Zbl 1514.90219 Optimization 72, No. 2, 551-579 (2023). MSC: 90C30 90C55 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Lorca, José Pablo Lucero; Gander, Martin J. Should multilevel methods for discontinuous Galerkin discretizations use discontinuous interpolation operators? (English) Zbl 07936299 Brenner, Susanne C. (ed.) et al., Domain decomposition methods in science and engineering XXVI. Selected papers based on the presentations at the 26th international conference on domain decomposition methods, virtual, December 7–12, 2020. Cham: Springer. Lect. Notes Comput. Sci. Eng. 145, 273-280 (2022). MSC: 65M55 65N55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gondzio, Jacek; Pougkakiotis, Spyridon; Pearson, John W. General-purpose preconditioning for regularized interior point methods. (English) Zbl 1518.90125 Comput. Optim. Appl. 83, No. 3, 727-757 (2022). MSC: 90C51 90C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghannad, Alexandre; Orban, Dominique; Saunders, Michael A. Linear systems arising in interior methods for convex optimization: a symmetric formulation with bounded condition number. (English) Zbl 1518.65073 Optim. Methods Softw. 37, No. 4, 1344-1369 (2022). MSC: 65K10 65F15 90C06 90C20 90C51 × Cite Format Result Cite Review PDF Full Text: DOI
Karim, Samah; Solomonik, Edgar Efficient preconditioners for interior point methods via a new Schur complement-based strategy. (English) Zbl 1508.65020 SIAM J. Matrix Anal. Appl. 43, No. 4, 1680-1711 (2022). MSC: 65F08 65F10 65F50 65K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zilli, Giovanni; Bergamaschi, Luca Block preconditioners for linear systems in interior point methods for convex constrained optimization. (English) Zbl 1500.65013 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 68, No. 2, 337-368 (2022). MSC: 65F08 65F10 65K05 90C20 90C25 90C06 90C51 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Zisheng; Hu, Xiaozhe; Pan, Wenxiao A multigrid preconditioner for spatially adaptive high-order meshless method on fluid-solid interaction problems. (English) Zbl 1507.74140 Comput. Methods Appl. Mech. Eng. 400, Article ID 115506, 30 p. (2022). MSC: 74F10 65F08 65N55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brubeck, Pablo D.; Farrell, Patrick E. A scalable and robust vertex-star relaxation for high-order FEM. (English) Zbl 1501.65014 SIAM J. Sci. Comput. 44, No. 5, A2991-A3017 (2022). MSC: 65F08 65N35 65N55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boon, Wietse M.; Hornkjøl, Martin; Kuchta, Miroslav; Mardal, Kent-André; Ruiz-Baier, Ricardo Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers. (English) Zbl 07568560 J. Comput. Phys. 467, Article ID 111464, 25 p. (2022). MSC: 65Nxx 65Fxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ainsworth, Mark; Parker, Charles A mass conserving mixed \(hp\)-FEM scheme for Stokes flow. III: Implementation and preconditioning. (English) Zbl 1492.65296 SIAM J. Numer. Anal. 60, No. 3, 1574-1606 (2022). MSC: 65N30 65N55 65F08 65F10 35P15 76M10 76D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saberi, S.; Meschke, G.; Vogel, A. A restricted additive vanka smoother for geometric multigrid. (English) Zbl 07525121 J. Comput. Phys. 459, Article ID 111123, 16 p. (2022). MSC: 65Nxx 65Fxx 76Dxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leveque, Santolo; Pearson, John W. Fast iterative solver for the optimal control of time-dependent PDEs with Crank-Nicolson discretization in time. (English) Zbl 07511600 Numer. Linear Algebra Appl. 29, No. 2, e2419, 23 p. (2022). MSC: 65F08 65F10 65M22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Farrell, Patrick; Orozco, Pablo Alexei Gazca; Süli, Endre Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids. (English) Zbl 1490.65271 Math. Comput. 91, No. 334, 659-697 (2022). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N12 65N55 65F08 65F10 35D30 80A19 76A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Fabien, Maurice; Guzmán, Johnny; Neilan, Michael; Zytoon, Ahmed Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits. (English) Zbl 1507.76100 Comput. Methods Appl. Mech. Eng. 390, Article ID 114444, 21 p. (2022). MSC: 76M10 65M60 76D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Na-Na; Li, Ji-Cheng On parameterized block symmetric positive definite preconditioners for a class of block three-by-three saddle point problems. (English) Zbl 1480.65067 J. Comput. Appl. Math. 405, Article ID 113959, 15 p. (2022). MSC: 65F08 65F10 65F15 65F50 × Cite Format Result Cite Review PDF Full Text: DOI
Clevenger, Thomas C.; Heister, Timo Comparison between algebraic and matrix-free geometric multigrid for a Stokes problem on adaptive meshes with variable viscosity. (English) Zbl 1538.65584 Numer. Linear Algebra Appl. 28, No. 5, e2375, 13 p. (2021). Reviewer: Ivana Pultarová (Praha) MSC: 65N55 65N22 65N30 65Y05 76D07 65N50 65F08 65F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rees, Tyrone; Wathen, Michael An element-based preconditioner for mixed finite element problems. (English) Zbl 1487.65185 SIAM J. Sci. Comput. 43, No. 5, S884-S907 (2021). MSC: 65N30 65F08 65F10 65F15 65F50 65N22 74S05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bergamaschi, Luca; Gondzio, Jacek; Martínez, Ángeles; Pearson, John W.; Pougkakiotis, Spyridon A new preconditioning approach for an interior point-proximal method of multipliers for linear and convex quadratic programming. (English) Zbl 1549.90091 Numer. Linear Algebra Appl. 28, No. 4, e2361, 19 p. (2021). MSC: 90C20 90C05 90C25 65F08 90C06 90C51 65K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Farrell, Patrick E.; He, Yunhui; MacLachlan, Scott P. A local Fourier analysis of additive Vanka relaxation for the Stokes equations. (English) Zbl 1549.65588 Numer. Linear Algebra Appl. 28, No. 3, e2306, 28 p. (2021). MSC: 65Y05 65N55 65M55 65N30 76D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xia, Jingmin; Farrell, Patrick E.; Wechsung, Florian Augmented Lagrangian preconditioners for the Oseen-Frank model of nematic and cholesteric liquid crystals. (English) Zbl 1482.76008 BIT 61, No. 2, 607-644 (2021). Reviewer: Xingbin Pan (Shanghai) MSC: 76A15 65F08 65N30 65N55 82D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El Akkad, Abdeslam; Elkhalfi, Ahmed Analysis of estimators for Stokes problem using a mixed approximation. (English) Zbl 1474.05027 Bol. Soc. Parana. Mat. (3) 39, No. 6, 105-128 (2021). MSC: 05B05 05B25 20B25 × Cite Format Result Cite Review PDF Full Text: Link
Antonietti, Paola F.; De Ponti, Jacopo; Formaggia, Luca; Scotti, Anna Preconditioning techniques for the numerical solution of flow in fractured porous media. (English) Zbl 1456.65139 J. Sci. Comput. 86, No. 1, Paper No. 2, 32 p. (2021). MSC: 65N06 65F08 65F10 76S05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Heinlein, Alexander; Hochmuth, Christian; Klawonn, Axel Reduced dimension GDSW coarse spaces for monolithic Schwarz domain decomposition methods for incompressible fluid flow problems. (English) Zbl 1548.76108 Int. J. Numer. Methods Eng. 121, No. 6, 1101-1119 (2020). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Pearson, John W.; Pestana, Jennifer Preconditioners for Krylov subspace methods: an overview. (English) Zbl 1541.65016 GAMM-Mitt. 43, No. 4, Article ID e202000015, 35 p. (2020). MSC: 65F08 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Qiu, Songqiang; Chen, Zhongwen An adaptively regularized sequential quadratic programming method for equality constrained optimization. (English) Zbl 1476.65103 J. Ind. Manag. Optim. 16, No. 6, 2675-2701 (2020). MSC: 65K05 90C30 90C55 × Cite Format Result Cite Review PDF Full Text: DOI
Southworth, Ben S.; Sivas, Abdullah A.; Rhebergen, Sander On fixed-point, Krylov, and \(2\times 2\) block preconditioners for nonsymmetric problems. (English) Zbl 1511.65027 SIAM J. Matrix Anal. Appl. 41, No. 2, 871-900 (2020). MSC: 65F08 65F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Farrell, P. E.; Gazca-Orozco, P. A. An augmented Lagrangian preconditioner for implicitly constituted non-Newtonian incompressible flow. (English) Zbl 1458.65147 SIAM J. Sci. Comput. 42, No. 6, B1329-B1349 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N55 65N22 65F08 35Q35 76A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pougkakiotis, Spyridon; Pearson, John W.; Leveque, Santolo; Gondzio, Jacek Fast solution methods for convex quadratic optimization of fractional differential equations. (English) Zbl 1458.65026 SIAM J. Matrix Anal. Appl. 41, No. 3, 1443-1476 (2020). MSC: 65F08 65F10 65M22 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Daužickaitė, Ieva; Lawless, Amos S.; Scott, Jennifer A.; van Leeuwen, Peter Jan Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation. (English) Zbl 1474.65083 Numer. Linear Algebra Appl. 27, No. 5, e2313, 24 p. (2020). Reviewer: Miroslav Tůma (Praha) MSC: 65F15 65F10 15A06 15A18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Xi A fast null-space method for the unsteady Stokes equations. (English) Zbl 1447.65095 Comput. Math. Appl. 80, No. 5, 1459-1477 (2020). MSC: 65M60 65M06 65F10 65F05 65F60 76D07 35A24 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Ju; Marsden, Alison L. A robust and efficient iterative method for hyper-elastodynamics with nested block preconditioning. (English) Zbl 1451.74208 J. Comput. Phys. 383, 72-93 (2019). MSC: 74S05 65M60 65M22 74B20 92C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Alrehaili, A. H.; Walkley, M. A.; Jimack, P. K.; Hubbard, Matthew E. An efficient numerical algorithm for a multiphase tumour model. (English) Zbl 1443.92004 Comput. Math. Appl. 78, No. 8, 2734-2745 (2019). MSC: 92-08 92C35 92C50 65Z05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Fang, Rui; Kronbichler, Martin; Wurzer, Maximilian; Wall, Wolfgang A. Parallel, physics-oriented, monolithic solvers for three-dimensional, coupled finite element models of Lithium-ion cells. (English) Zbl 1441.78024 Comput. Methods Appl. Mech. Eng. 350, 803-835 (2019). MSC: 78M10 78A57 × Cite Format Result Cite Review PDF Full Text: DOI
Farrell, Patrick E.; Mitchell, Lawrence; Wechsung, Florian An augmented Lagrangian preconditioner for the 3D stationary incompressible Navier-Stokes equations at High Reynolds number. (English) Zbl 1448.65261 SIAM J. Sci. Comput. 41, No. 5, A3073-A3096 (2019). Reviewer: Vit Dolejsi (Praha) MSC: 65N55 65N30 65F08 65F10 65H10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Müller, Christopher; Ullmann, Sebastian; Lang, Jens A Bramble-Pasciak conjugate gradient method for discrete Stokes equations with random viscosity. (English) Zbl 1425.65018 SIAM/ASA J. Uncertain. Quantif. 7, 787-805 (2019). MSC: 65C30 35R60 60H15 60H35 65N22 65N30 65F08 65F10 65F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Heinlein, Alexander; Hochmuth, Christian; Klawonn, Axel Monolithic overlapping Schwarz domain decomposition methods with GDSW coarse spaces for incompressible fluid flow problems. (English) Zbl 1420.65034 SIAM J. Sci. Comput. 41, No. 4, C291-C316 (2019). MSC: 65F10 65M55 65Y05 65F08 × Cite Format Result Cite Review PDF Full Text: DOI
Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael Preconditioning trace coupled \(3d-1d\) systems using fractional Laplacian. (English) Zbl 1437.65014 Numer. Methods Partial Differ. Equations 35, No. 1, 375-393 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65F08 65N30 65N35 35R11 65N22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Yunhui; MacLachlan, Scott P. Local Fourier analysis for mixed finite-element methods for the Stokes equations. (English) Zbl 1415.76453 J. Comput. Appl. Math. 357, 161-183 (2019). MSC: 76M10 65N55 65F10 65F08 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qiu, Songqiang Convergence of a stabilized SQP method for equality constrained optimization. (English) Zbl 1414.90330 Comput. Optim. Appl. 73, No. 3, 957-996 (2019). MSC: 90C30 90C55 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Pougkakiotis, Spyridon; Gondzio, Jacek Dynamic non-diagonal regularization in interior point methods for linear and convex quadratic programming. (English) Zbl 1420.90082 J. Optim. Theory Appl. 181, No. 3, 905-945 (2019). MSC: 90C51 90C25 90C20 90C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Na; Ma, Chang-Feng Spectral analysis of the preconditioned system for the \(3 \times 3\) block saddle point problem. (English) Zbl 1454.65019 Numer. Algorithms 81, No. 2, 421-444 (2019). MSC: 65F10 65F08 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Heidel, Gennadij; Wathen, Andy Preconditioning for boundary control problems in incompressible fluid dynamics. (English) Zbl 1524.49034 Numer. Linear Algebra Appl. 26, No. 1, e2218, 21 p. (2019). MSC: 49K20 49M25 65F08 65F10 65F50 76D05 76D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ainsworth, Mark; Jiang, Shuai Preconditioning the mass matrix for high order finite element approximation on triangles. (English) Zbl 1426.65168 SIAM J. Numer. Anal. 57, No. 1, 355-377 (2019). Reviewer: Petr Sváček (Praha) MSC: 65N30 65N55 65F08 × Cite Format Result Cite Review PDF Full Text: DOI
Montardini, M.; Sangalli, G.; Tani, M. Robust isogeometric preconditioners for the Stokes system based on the fast diagonalization method. (English) Zbl 1440.76080 Comput. Methods Appl. Mech. Eng. 338, 162-185 (2018). MSC: 76M10 65N30 65D07 65N22 76D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pearson, John W.; Wathen, Andy Matching Schur complement approximations for certain saddle-point systems. (English) Zbl 1405.65048 Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer (ISBN 978-3-319-72455-3/hbk; 978-3-319-72456-0/ebook). 1001-1016 (2018). MSC: 65F10 65F08 49J20 49K20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Fan, Hong-Tao; Zhu, Xin-Yun; Zheng, Bing The generalized double shift-splitting preconditioner for nonsymmetric generalized saddle point problems from the steady Navier-Stokes equations. (English) Zbl 1416.65082 Comput. Appl. Math. 37, No. 3, 3256-3266 (2018). MSC: 65F10 65F08 65F50 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Na; Ma, Chang-Feng On the eigenvalues of the saddle point matrices discretized from Navier-Stokes equations. (English) Zbl 1397.65049 Numer. Algorithms 79, No. 1, 41-64 (2018). MSC: 65F10 65F08 65F50 65N35 35Q30 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Na; Ma, Chang-Feng; Zou, Jun Spectral analysis, properties and nonsingular preconditioners for singular saddle point problems. (English) Zbl 1391.65067 Comput. Methods Appl. Math. 18, No. 2, 237-256 (2018). MSC: 65F10 65F08 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Qiu, Yue; van Gijzen, Martin B.; van Wingerden, Jan-Willem; Verhaegen, Michel; Vuik, Cornelis Evaluation of multilevel sequentially semiseparable preconditioners on computational fluid dynamics benchmark problems using incompressible flow and iterative solver software. (English) Zbl 1386.65104 Math. Methods Appl. Sci. 41, No. 3, 888-903 (2018). MSC: 65F08 76M25 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Pearson, John W.; Pestana, Jennifer; Silvester, David J. Refined saddle-point preconditioners for discretized Stokes problems. (English) Zbl 1408.76371 Numer. Math. 138, No. 2, 331-363 (2018). MSC: 76M10 65F08 65F10 65N30 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Na; Ma, Chang-Feng; Zou, Jun Analysis on block diagonal and triangular preconditioners for a PML system of an electromagnetic scattering problem. (English) Zbl 1397.65269 Comput. Math. Appl. 74, No. 11, 2856-2873 (2017). MSC: 65N30 78A25 15A18 65F08 78M10 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Borzacchiello, Domenico; Leriche, Emmanuel; Blottière, Benoît; Guillet, Jacques Box-relaxation based multigrid solvers for the variable viscosity Stokes problem. (English) Zbl 1390.76397 Comput. Fluids 156, 515-525 (2017). MSC: 76M12 65N08 65N55 76Txx 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Adler, James H.; Benson, Thomas R.; MacLachlan, Scott P. Preconditioning a mass-conserving discontinuous Galerkin discretization of the Stokes equations. (English) Zbl 1424.65217 Numer. Linear Algebra Appl. 24, No. 3, e2047, 23 p. (2017). Reviewer: Petr Knobloch (Praha) MSC: 65N30 65F08 65F10 65N22 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
White, Joshua A.; Castelletto, Nicola; Tchelepi, Hamdi A. Block-partitioned solvers for coupled poromechanics: a unified framework. (English) Zbl 1425.74497 Comput. Methods Appl. Mech. Eng. 303, 55-74 (2016). MSC: 74S05 65M22 65M60 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Liang, Zhao-Zheng; Zhang, Guo-Feng Two new variants of the HSS preconditioner for regularized saddle point problems. (English) Zbl 1359.65043 Comput. Math. Appl. 72, No. 3, 603-619 (2016). MSC: 65F08 65F10 15A24 × Cite Format Result Cite Review PDF Full Text: DOI
Morini, Benedetta; Simoncini, Valeria; Tani, Mattia Spectral estimates for unreduced symmetric KKT systems arising from interior point methods. (English) Zbl 1413.65246 Numer. Linear Algebra Appl. 23, No. 5, 776-800 (2016). MSC: 65K05 90C20 90C51 65F08 × Cite Format Result Cite Review PDF Full Text: DOI Link
Harbrecht, Helmut; Wendland, Wolfgang L.; Zorii, Natalia Rapid solution of minimal Riesz energy problems. (English) Zbl 1354.65134 Numer. Methods Partial Differ. Equations 32, No. 6, 1535-1552 (2016). MSC: 65K10 49J10 49M29 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chen, Ke; Fairag, Faisal; Al-Mahdi, Adel Preconditioning techniques for an image deblurring problem. (English) Zbl 1413.94006 Numer. Linear Algebra Appl. 23, No. 3, 570-584 (2016). MSC: 94A08 65F22 68U10 × Cite Format Result Cite Review PDF Full Text: DOI
Vecharynski, Eugene; Knyazev, Andrew Preconditioned steepest descent-like methods for symmetric indefinite systems. (English) Zbl 1352.65101 Linear Algebra Appl. 511, 274-295 (2016). MSC: 65F08 65F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pearson, John W. Fast iterative solvers for large matrix systems arising from time-dependent Stokes control problems. (English) Zbl 1346.65035 Appl. Numer. Math. 108, 87-101 (2016). MSC: 65K10 49J20 65F05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Riahi, Mohamed Kamel A new approach to improve ill-conditioned parabolic optimal control problem via time domain decomposition. (English) Zbl 1347.65116 Numer. Algorithms 72, No. 3, 635-666 (2016). Reviewer: Hans Benker (Merseburg) MSC: 65K10 49J20 49M27 90C25 65K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Fairag, Faisal; Alshahrani, Mohammed; Tawfiq, Hattan Bramble-Pasciak-type conjugate gradient method for Darcy’s equations. (English) Zbl 1338.65074 SIAM J. Matrix Anal. Appl. 37, No. 1, 469-489 (2016). MSC: 65F08 65F10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Jun; Xiao, Mingqing A new semi-smooth Newton multigrid method for control-constrained semi-linear elliptic PDE problems. (English) Zbl 1339.49025 J. Glob. Optim. 64, No. 3, 451-468 (2016). MSC: 49M15 49M25 49M05 49K20 65K10 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Kirchhart, Matthias; Gross, Sven; Reusken, Arnold Analysis of an XFEM discretization for Stokes interface problems. (English) Zbl 1381.76182 SIAM J. Sci. Comput. 38, No. 2, A1019-A1043 (2016). MSC: 76M10 65N30 65F10 65N15 65N22 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Liang, Zhao-Zheng; Zhang, Guo-Feng On PSS-based constraint preconditioners for singular nonsymmetric saddle point problems. (English) Zbl 1443.65037 Comput. Math. Appl. 69, No. 6, 455-465 (2015). MSC: 65F08 65F10 15A24 39B12 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Junfeng; Jin, Yiming Eigenvalue analysis of a generalized indefinite block triangular preconditioner for generalized saddle point problems. (English) Zbl 1410.65089 Appl. Math. Comput. 271, 389-399 (2015). MSC: 65F08 15A18 65F10 65F50 65N22 × Cite Format Result Cite Review PDF Full Text: DOI
Pearson, John W. Preconditioned iterative methods for Navier-Stokes control problems. (English) Zbl 1349.76087 J. Comput. Phys. 292, 194-207 (2015). MSC: 76D55 49M25 65M60 76D05 65K10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Pestana, Jennifer; Wathen, Andrew J. Natural preconditioning and iterative methods for saddle point systems. (English) Zbl 1338.65078 SIAM Rev. 57, No. 1, 71-91 (2015). MSC: 65F08 65F10 65F50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Axelsson, Owe Unified analysis of preconditioning methods for saddle point matrices. (English) Zbl 1363.65047 Numer. Linear Algebra Appl. 22, No. 2, 233-253 (2015). Reviewer: Miroslav Rozloznik MSC: 65F10 65F15 65F08 × Cite Format Result Cite Review PDF Full Text: DOI
Salkuyeh, Davod Khojasteh; Masoudi, Mohsen; Hezari, Davod On the generalized shift-splitting preconditioner for saddle point problems. (English) Zbl 1325.65048 Appl. Math. Lett. 48, 55-61 (2015). MSC: 65F10 65F08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lu, Junfeng A generalization of parameterized block triangular preconditioners for generalized saddle point problems. (English) Zbl 1336.65032 Appl. Math. Comput. 241, 25-35 (2014). MSC: 65F08 65F10 15A24 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Shu-Qian; Jian, Ling; Bao, Wen-Di; Huang, Ting-Zhu On the eigenvalue distribution of preconditioned nonsymmetric saddle point matrices. (English) Zbl 1340.65040 Numer. Linear Algebra Appl. 21, No. 4, 557-568 (2014). Reviewer: Jennifer Pestana (Manchester) MSC: 65F08 15A18 15B57 65F10 65F50 15A42 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Shi-Liang; Li, Cui-Xia Eigenvalue estimates of an indefinite block triangular preconditioner for saddle point problems. (English) Zbl 1293.65044 J. Comput. Appl. Math. 260, 349-355 (2014). MSC: 65F08 65F10 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Yang; Du, Jun; Niu, Qiang Shift-splitting preconditioners for saddle point problems. (English) Zbl 1303.65012 J. Comput. Appl. Math. 272, 239-250 (2014). MSC: 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Heister, Timo; Rapin, Gerd Efficient augmented Lagrangian-type preconditioning for the Oseen problem using Grad-Div stabilization. (English) Zbl 1430.76115 Int. J. Numer. Methods Fluids 71, No. 1, 118-134 (2013). MSC: 76D05 65N22 65N30 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Pestana, J.; Wathen, A. J. Combination preconditioning of saddle point systems for positive definiteness. (English) Zbl 1313.65052 Numer. Linear Algebra Appl. 20, No. 5, 785-808 (2013). Reviewer: Tyrone Rees (Didcot) MSC: 65F08 65F10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wu, Shi-Liang; Li, Cui-Xia A note on parameterized block triangular preconditioners for generalized saddle point problems. (English) Zbl 1288.65035 Appl. Math. Comput. 219, No. 14, 7907-7916 (2013). MSC: 65F08 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Shi-Liang; Li, Cui-Xia Indefinite block triangular preconditioner for symmetric saddle point problems. (English) Zbl 1280.65030 Calcolo 50, No. 1, 1-15 (2013). Reviewer: Ludwig Elsner (Bielefeld) MSC: 65F08 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Zulehner, Walter Efficient solvers for saddle point problems with applications to PDE-constrained optimization. (English) Zbl 1263.65030 Apel, Thomas (ed.) et al., Advanced finite element methods and applications. Berlin: Springer (ISBN 978-3-642-30315-9/hbk; 978-3-642-30316-6/ebook). Lecture Notes in Applied and Computational Mechanics 66, 197-216 (2013). MSC: 65F08 49J20 65K10 65F10 49M25 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Amit; Graham, Michael D. Accelerated boundary integral method for multiphase flow in non-periodic geometries. (English) Zbl 1284.76277 J. Comput. Phys. 231, No. 20, 6682-6713 (2012). MSC: 76M15 76D07 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Yang; Jiang, Mei-Qun; Zheng, Ying-Long A note on the positive stable block triangular preconditioner for generalized saddle point problems. (English) Zbl 1280.65028 Appl. Math. Comput. 218, No. 22, 11075-11082 (2012). MSC: 65F08 76D07 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Ferronato, Massimiliano Preconditioning for sparse linear systems at the dawn of the 21st century: history, current developments, and future perspectives. (English) Zbl 1264.65037 ISRN Appl. Math. 2012, Article ID 127647, 49 p. (2012). MSC: 65F08 65F10 65-03 01A61 65-02 × Cite Format Result Cite Review PDF Full Text: DOI
Bergamaschi, Luca On eigenvalue distribution of constraint-preconditioned symmetric saddle point matrices. (English) Zbl 1274.65084 Numer. Linear Algebra Appl. 19, No. 4, 754-772 (2012); corrigendum ibid. 21, No. 1, 171-174 (2014). Reviewer: Pavel Jiránek (Toulous) MSC: 65F08 65F10 15A42 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Simoncini, V. Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems. (English) Zbl 1266.49061 Comput. Optim. Appl. 53, No. 2, 591-617 (2012). Reviewer: Igor Bock (Bratislava) MSC: 49M30 49K20 49M25 35J20 49Q20 × Cite Format Result Cite Review PDF Full Text: DOI
Friedlander, M. P.; Orban, D. A primal-dual regularized interior-point method for convex quadratic programs. (English) Zbl 1279.90193 Math. Program. Comput. 4, No. 1, 71-107 (2012). MSC: 90C51 90C20 90C05 90C06 90C25 65F22 65F50 × Cite Format Result Cite Review PDF Full Text: DOI
Melchior, S. A.; Legat, V.; Van Dooren, P.; Wathen, A. J. Analysis of preconditioned iterative solvers for incompressible flow problems. (English) Zbl 1426.76290 Int. J. Numer. Methods Fluids 68, No. 3, 269-286 (2012). MSC: 76M10 76D05 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Gondzio, Jacek Matrix-free interior point method. (English) Zbl 1241.90179 Comput. Optim. Appl. 51, No. 2, 457-480 (2012). MSC: 90C51 90C20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Olshanskii, Maxim A. Multigrid analysis for the time dependent Stokes problem. (English) Zbl 1426.76293 Math. Comput. 81, No. 277, 57-79 (2012). MSC: 76M10 76D07 65N12 65N55 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Junfeng; Zhang, Zhenyue Convergence analysis of generalized nonlinear inexact Uzawa algorithm for stabilized saddle point problems. (English) Zbl 1283.65021 Front. Math. China 6, No. 3, 473-492 (2011). MSC: 65F10 65F50 × Cite Format Result Cite Review PDF Full Text: DOI
Houzeaux, G.; Aubry, R.; Vázquez, M. Extension of fractional step techniques for incompressible flows: the preconditioned Orthomin(1) for the pressure Schur complement. (English) Zbl 1271.76208 Comput. Fluids 44, No. 1, 297-313 (2011). MSC: 76M20 76M30 76D05 65F15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Washio, Takumi; Hisada, Toshiaki Convergence analysis of inexact Lu-type preconditioners for indefinite problems arising in incompressible continuum analysis. (English) Zbl 1253.74133 Japan J. Ind. Appl. Math. 28, No. 1, 89-117 (2011). MSC: 74S30 65F08 65N12 74B20 74G15 × Cite Format Result Cite Review PDF Full Text: DOI