A priori pivoting in incomplete Gaussian preconditioning for iterative solution of mixed finite-element formulation of the Navier–Stokes equations

Greaves, 1998, On the use of adaptive hierarchical meshes for numerical simulation of separated flows, Int. J. Numer. Methods Fluids, 26, 303, 10.1002/(SICI)1097-0363(19980215)26:3<303::AID-FLD643>3.0.CO;2-Y Greaves, 1999, Hierarchical tree-based finite element mesh generation, Int. J. Numer. Methods Engrg., 45, 447, 10.1002/(SICI)1097-0207(19990610)45:4<447::AID-NME592>3.0.CO;2-# Wille, 1992, A structured tri-tree search method for generation of optimal unstructured finite element grids in two and three dimensions, Int. J. Numer. Methods Fluids, 14, 861, 10.1002/fld.1650140707 Young, 1980, Generalized conjugate-gradient acceleration of non-symmetrizable iterative methods, Linear Algebra Appl., 34, 159, 10.1016/0024-3795(80)90165-2 P. Sonneveld, CGS, a fast Lanczos-type solver for nonsymmetric linear systems, SIAM J. Stat. Comput.10 (1987) 36–52 Howard, 1990, Unsymmetric conjugate gradient methods and sparse direct methods in finite element flow simulation, Int. J. Numer. Methods Fluids, 10, 925, 10.1002/fld.1650100806 Meijerink, 1977, An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-Matrix, Math. Comput., 31, 148 H.A. vanderVorst and P. Sonneveld, A more smoothly converging variant of CG-S. Report 90-50. Faculty of Technical Mathematics and Informatics. Delft University of Technology. The Netherlands. ISSN 0922-5641, 1990 S.Ø. Wille, An element by element preconditioner for refined finite element grids, in: Proceedings of the First International Conference on Numerical Grid Generation in Computational Fluid Dynamics, Landshut, Germany, 1986 S.Ø. Wille, Local Gaussian preconditioning of symmetric and nonsymmetric finite element equation solvers, in: Proceedings of the First International Conference on Industrial and Applied Mathematics, ICIAM 87, Paris, France, 1987 Dahl, 1992, An ILU preconditioner with coupled node fill-in for iterative solution of the mixed finite element formulation of the 2D and 3D Navier–Stokes equations, Int. J. Numer. Methods Fluids, 15, 525, 10.1002/fld.1650150503 C. Taylor, P. Hood, A numerical solution of the Navier–Stokes equations using the finite element technique, Computers and Fluids, vol. 1, Pergamon Press, Oxford, 1973, pp. 73–100 Carey, 1989, Performance of iterative methods for Newtonian and generalized Newtonian flows, Int. J. Numer. Methods Fluids, 9, 127, 10.1002/fld.1650090202 Wille, 1996, An adaptive unstructured tri-tree iterative solver for mixed finite element formulation of the Stokes equations, Int. J. Numer. Methods Fluids, 22, 899, 10.1002/(SICI)1097-0363(19960515)22:9<899::AID-FLD385>3.0.CO;2-L