Xu, Hao; Wang, Zeng-Qi Rotated block diagonal preconditioners for Navier-Stokes control problems. (English) Zbl 07784343 Comput. Math. Appl. 154, 1-11 (2024). MSC: 65F10 65F08 65K10 35Q30 49J20 PDFBibTeX XMLCite \textit{H. Xu} and \textit{Z.-Q. Wang}, Comput. Math. Appl. 154, 1--11 (2024; Zbl 07784343) Full Text: DOI
Aljohani, M. A.; Jimack, P. K.; Walkley, M. A. A faster optimal solver for thin film flows. (English) Zbl 07630339 Appl. Numer. Math. 184, 357-370 (2023). MSC: 65Fxx 65Nxx 76Mxx PDFBibTeX XMLCite \textit{M. A. Aljohani} et al., Appl. Numer. Math. 184, 357--370 (2023; Zbl 07630339) Full Text: DOI
Manzoni, Andrea; Quarteroni, Alfio; Salsa, Sandro Optimal control of partial differential equations. Analysis, approximation, and applications. (English) Zbl 1483.49001 Applied Mathematical Sciences 207. Cham: Springer (ISBN 978-3-030-77225-3/hbk; 978-3-030-77226-0/ebook). xvii, 498 p. (2021). Reviewer: Gheorghe Moroşanu (Cluj-Napoca) MSC: 49-01 49J20 49K20 49Q10 76-01 90C20 49N35 49S05 49N10 49-02 PDFBibTeX XMLCite \textit{A. Manzoni} et al., Optimal control of partial differential equations. Analysis, approximation, and applications. Cham: Springer (2021; Zbl 1483.49001) Full Text: DOI
Benner, Peter; Onwunta, Akwum; Stoll, Martin A low-rank inexact Newton-Krylov method for stochastic eigenvalue problems. (English) Zbl 1420.65043 Comput. Methods Appl. Math. 19, No. 1, 5-22 (2019). MSC: 65F15 60H15 35R60 60H35 65F50 PDFBibTeX XMLCite \textit{P. Benner} et al., Comput. Methods Appl. Math. 19, No. 1, 5--22 (2019; Zbl 1420.65043) Full Text: DOI arXiv
Porcelli, Margherita; Simoncini, Valeria; Stoll, Martin Preconditioning PDE-constrained optimization with \(L^1\)-sparsity and control constraints. (English) Zbl 1393.49022 Comput. Math. Appl. 74, No. 5, 1059-1075 (2017). MSC: 49M25 35Q93 65N30 65N22 49K20 49M15 PDFBibTeX XMLCite \textit{M. Porcelli} et al., Comput. Math. Appl. 74, No. 5, 1059--1075 (2017; Zbl 1393.49022) Full Text: DOI arXiv
Robbe, Pieterjan; Nuyens, Dirk; Vandewalle, Stefan A multi-index quasi-Monte Carlo algorithm for lognormal diffusion problems. (English) Zbl 1386.60225 SIAM J. Sci. Comput. 39, No. 5, S851-S872 (2017). MSC: 60H15 65C05 68U20 PDFBibTeX XMLCite \textit{P. Robbe} et al., SIAM J. Sci. Comput. 39, No. 5, S851--S872 (2017; Zbl 1386.60225) Full Text: DOI arXiv
Benner, Peter; Dolgov, Sergey; Onwunta, Akwum; Stoll, Martin Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data. (English) Zbl 1423.76329 Comput. Methods Appl. Mech. Eng. 304, 26-54 (2016). MSC: 76M25 65F10 35R60 60H35 65N22 76D07 76D55 PDFBibTeX XMLCite \textit{P. Benner} et al., Comput. Methods Appl. Mech. Eng. 304, 26--54 (2016; Zbl 1423.76329) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. W. Pearson}, Appl. Numer. Math. 108, 87--101 (2016; Zbl 1346.65035) Full Text: DOI Link
Benner, Peter; Onwunta, Akwum; Stoll, Martin Block-diagonal preconditioning for optimal control problems constrained by PDEs with uncertain inputs. (English) Zbl 1382.65074 SIAM J. Matrix Anal. Appl. 37, No. 2, 491-518 (2016). MSC: 65F08 65F10 49M25 35R60 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM J. Matrix Anal. Appl. 37, No. 2, 491--518 (2016; Zbl 1382.65074) Full Text: DOI
Porcelli, Margherita; Simoncini, Valeria; Tani, Mattia Preconditioning of active-set Newton methods for PDE-constrained optimal control problems. (English) Zbl 1325.65066 SIAM J. Sci. Comput. 37, No. 5, S472-S502 (2015). MSC: 65F50 15A09 65F08 65K05 65H10 49J20 PDFBibTeX XMLCite \textit{M. Porcelli} et al., SIAM J. Sci. Comput. 37, No. 5, S472--S502 (2015; Zbl 1325.65066) Full Text: DOI arXiv
Pearson, John W. On the development of parameter-robust preconditioners and commutator arguments for solving Stokes control problems. (English) Zbl 1312.65104 ETNA, Electron. Trans. Numer. Anal. 44, 53-72 (2015). MSC: 65K10 49J20 76D07 65F08 49M25 PDFBibTeX XMLCite \textit{J. W. Pearson}, ETNA, Electron. Trans. Numer. Anal. 44, 53--72 (2015; Zbl 1312.65104) Full Text: EMIS
Buchan, A. G.; Pain, C. C.; Umpleby, A. P.; Smedley-Stevenson, R. P. A sub-grid scale finite element agglomeration multigrid method with application to the Boltzmann transport equation. (English) Zbl 1352.65623 Int. J. Numer. Methods Eng. 92, No. 3, 318-342 (2012). MSC: 65N55 45K05 65N22 65N30 PDFBibTeX XMLCite \textit{A. G. Buchan} et al., Int. J. Numer. Methods Eng. 92, No. 3, 318--342 (2012; Zbl 1352.65623) Full Text: DOI
Pearson, John W.; Wathen, Andrew J. A new approximation of the Schur complement in preconditioners for PDE-constrained optimization. (English) Zbl 1274.65187 Numer. Linear Algebra Appl. 19, No. 5, 816-829 (2012). Reviewer: Martin Stoll (Magdeburg) MSC: 65K10 65F08 65F10 49J20 49M25 PDFBibTeX XMLCite \textit{J. W. Pearson} and \textit{A. J. Wathen}, Numer. Linear Algebra Appl. 19, No. 5, 816--829 (2012; Zbl 1274.65187) Full Text: DOI Link
Powell, Catherine E.; Silvester, David J. Preconditioning steady-state Navier-Stokes equations with random data. (English) Zbl 1256.35216 SIAM J. Sci. Comput. 34, No. 5, A2482-A2506 (2012). MSC: 35R60 35Q30 65C20 65F10 65N22 65N30 PDFBibTeX XMLCite \textit{C. E. Powell} and \textit{D. J. Silvester}, SIAM J. Sci. Comput. 34, No. 5, A2482--A2506 (2012; Zbl 1256.35216) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{V. Simoncini}, Comput. Optim. Appl. 53, No. 2, 591--617 (2012; Zbl 1266.49061) Full Text: DOI
Gordon, Andrew D.; Powell, Catherine E. On solving stochastic collocation systems with algebraic multigrid. (English) Zbl 1248.65007 IMA J. Numer. Anal. 32, No. 3, 1051-1070 (2012). MSC: 65C30 60H15 60H35 35R60 35J25 65N30 65N55 65F08 PDFBibTeX XMLCite \textit{A. D. Gordon} and \textit{C. E. Powell}, IMA J. Numer. Anal. 32, No. 3, 1051--1070 (2012; Zbl 1248.65007) Full Text: DOI Link
Rees, Tyrone; Stoll, Martin Block-triangular preconditioners for PDE-constrained optimization. (English) Zbl 1240.65097 Numer. Linear Algebra Appl. 17, No. 6, 977-996 (2010). MSC: 65F08 65F10 65K10 49J20 PDFBibTeX XMLCite \textit{T. Rees} and \textit{M. Stoll}, Numer. Linear Algebra Appl. 17, No. 6, 977--996 (2010; Zbl 1240.65097) Full Text: DOI Link
Benzi, Michele; Ferragut, Luis; Pennacchio, Micol; Simoncini, Valeria Solution of linear systems from an optimal control problem arising in wind simulation. (English) Zbl 1240.65194 Numer. Linear Algebra Appl. 17, No. 6, 895-915 (2010). MSC: 65K10 65F10 65F08 65F05 49M30 65F50 76G25 76M10 49J20 PDFBibTeX XMLCite \textit{M. Benzi} et al., Numer. Linear Algebra Appl. 17, No. 6, 895--915 (2010; Zbl 1240.65194) Full Text: DOI Link
Ullmann, Elisabeth A Kronecker product preconditioner for stochastic Galerkin finite element discretizations. (English) Zbl 1210.35306 SIAM J. Sci. Comput. 32, No. 2, 923-946 (2010). MSC: 35R60 60H15 60H35 65F10 65F08 65M60 65M22 65C30 PDFBibTeX XMLCite \textit{E. Ullmann}, SIAM J. Sci. Comput. 32, No. 2, 923--946 (2010; Zbl 1210.35306) Full Text: DOI Link
Powell, Catherine E.; Ullmann, Elisabeth Preconditioning stochastic Galerkin saddle point systems. (English) Zbl 1216.65010 SIAM J. Matrix Anal. Appl. 31, No. 5, 2813-2840 (2010); erratum ibid. 35, No. 1, 314-315 (2014). Reviewer: Grigori N. Milstein (Yekaterinburg) MSC: 65C30 35R60 65F10 65N30 60H15 60H35 35J25 65F08 PDFBibTeX XMLCite \textit{C. E. Powell} and \textit{E. Ullmann}, SIAM J. Matrix Anal. Appl. 31, No. 5, 2813--2840 (2010; Zbl 1216.65010) Full Text: DOI
Rees, Tyrone; Dollar, H. Sue; Wathen, Andrew J. Optimal solvers for PDE-constrained optimization. (English) Zbl 1208.49035 SIAM J. Sci. Comput. 32, No. 1, 271-298 (2010). MSC: 49M25 49K20 65F10 65N22 65F50 65N55 PDFBibTeX XMLCite \textit{T. Rees} et al., SIAM J. Sci. Comput. 32, No. 1, 271--298 (2010; Zbl 1208.49035) Full Text: DOI Link
Ernst, O. G.; Powell, C. E.; Silvester, D. J.; Ullmann, E. Efficient solvers for a linear stochastic Galerkin mixed formulation of diffusion problems with random data. (English) Zbl 1187.35298 SIAM J. Sci. Comput. 31, No. 2, 1424-1447 (2009). MSC: 35R60 65C20 65N22 65N30 PDFBibTeX XMLCite \textit{O. G. Ernst} et al., SIAM J. Sci. Comput. 31, No. 2, 1424--1447 (2009; Zbl 1187.35298) Full Text: DOI Link
Wathen, Andy; Rees, Tyrone Chebyshev semi-iteration in preconditioning for problems including the mass matrix. (English) Zbl 1189.65065 ETNA, Electron. Trans. Numer. Anal. 34(2008-2009), 125-135 (2009). MSC: 65F10 65F08 65N30 65N12 35Q30 49J20 PDFBibTeX XMLCite \textit{A. Wathen} and \textit{T. Rees}, ETNA, Electron. Trans. Numer. Anal. 34, 125--135 (2009; Zbl 1189.65065) Full Text: EuDML EMIS