References
- P.R. Amestoy, T.A. Davis and I.S. Duff. Algorithm 837: AMD, an approximate minimum degree ordering algorithm. ACM Trans. Math. Software, 30(3):381–388, 2004. http://dx.doi.org/10.1145/1024074.1024081.
- M. Benzi. A generalization of the Hermitian and skew-Hermitian splitting iteration. SIAM J. Matrix Anal. Appl., 31(2):360–374, 2009. http://dx.doi.org/10.1137/080723181.
- M. Benzi, G.H. Golub and J. Liesen. Numerical solution of saddle point problems. Acta Numer., 14:1–137, 2005. http://dx.doi.org/10.1017/S0962492904000212.
- M. Benzi and X.P. Guo. A dimensional split preconditioner for Stokes and linearized Navier–Stokes equations. Appl. Numer. Math., 61(1):66–76, 2011. http://dx.doi.org/10.1016/j.apnum.2010.08.005.
- M. Benzi, M. Ng, Q. Niu and Z. Wang. A relaxed dimensional factorization preconditioner for the incompressible Navier–Stokes equations. J. Comput. Phys., 230(16):6185–6202, 2011.
- M. Benzi and M.A. Olshanskii. An augmented Lagrangian-based approach to the Oseen problem. SIAM J. Sci. Comput., 28(6):2095–2113, 2006. http://dx.doi.org/10.1137/050646421.
- M. Benzi, M.A. Olshanskii and Z. Wang. Modified augmented Lagrangian preconditioners for the incompressible Navier–Stokes equations. Int. J. Numer. Meth. Fluids, 66(4):486–508, 2011. http://dx.doi.org/10.1002/fld.2267.
- M. Benzi and D.B. Szyld. Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods. Numer. Math., 76(3):309–321, 1997. http://dx.doi.org/10.1007/s002110050265.
- M. Benzi and Z. Wang. Analysis of augmented Lagrangian-based preconditioners for the steady incompressible Navier–Stokes equations. SIAM J. Sci. Comput., 33(5):2761–2784, 2011. http://dx.doi.org/10.1137/100797989.
- Y. Cao, M.Q. Jiang and Y.L. Zheng. A splitting preconditioner for saddle point problems. Numer. Linear Algebra Appl., 18(5):875–895, 2011. http://dx.doi.org/10.1002/nla.772.
- H.C. Elman, V.E. Howle, J. Shadid, D.J. Silvester and R. Tuminaro. Least squares preconditioners for stabilized discretizations of the Navier–Stokes equations. SIAM J. Sci. Comput., 30(1):290–311, 2007. http://dx.doi.org/10.1137/060655742.
- H.C. Elman, A. Ramage and D.J. Silvester. Algorithm 886: IFISS, a Matlab toolbox for modeling incompressible flow. ACM Trans. Math. Software, 33(2), 2007. http://dx.doi.org/10.1145/1236463.1236469.
- H.C. Elman and D.J. Silvester. Fast nonsymmetric iterations and preconditioning for the Navier–Stokes equations. SIAM J. Sci. Comput., 17:33–46, 1996. http://dx.doi.org/10.1137/0917004.
- H.C. Elman, D.J. Silvester and A.J. Wathen. Finite Elements and Fast Iterative Solvers: With Applications in Incompressible Fluid Dynamics. Numer. Math. Sci. Comput. Oxford University Press, Oxford, UK, 2005.
- M. Fortin and R. Glowinski. Augmented Lagrangian Methods: Applications to the Numerical Solution of Boundary Value Problems, volume 15 of Stud. Math. Appl. North-Holland, Amsterdam, New York, Oxford, 1983.
- G.H. Golub and C. Greif. On solving block-structured indefinite linear systems. SIAM J. Sci. Comput., 24(6):2076–2092, 2003. http://dx.doi.org/10.1137/S1064827500375096.
- R.A. Horn and C.R. Johnson. Matrix Analysis. Cambridge University Press, Cambridge, UK, 1991.
- Y. Saad. Iterative Methods for Sparse Linear Systems (2nd. edn.). SIAM, Philadelphia, PA, 2003.