Bibliography ============ .. [Adam98] Adams, Mark. "A parallel maximal independent set algorithm", in Proceedings 5th copper mountain conference on iterative methods, 1998. .. [ABHT03] Adams, M., Brezina, M., Hu, J., & Tuminaro, R. (2003). `Parallel multigrid smoothing: polynomial versus Gauss–Seidel `_. Journal of Computational Physics, 188(2), 593-610. .. [Alex00] A. Alexandrescu, Modern C++ design: generic programming and design patterns applied, AddisonWesley, 2001. .. [AnCD15] Anzt, Hartwig, Edmond Chow, and Jack Dongarra. `Iterative sparse triangular solves for preconditioning `_. European Conference on Parallel Processing. Springer Berlin Heidelberg, 2015. .. [BaJM05] Baker, A. H., Jessup, E. R., & Manteuffel, T. (2005). `A technique for accelerating the convergence of restarted GMRES `_. SIAM Journal on Matrix Analysis and Applications, 26(4), 962-984. .. [Barr94] Barrett, Richard, et al. `Templates for the solution of linear systems: building blocks for iterative methods `_. Vol. 43. Siam, 1994. .. [BeGL05] Benzi, Michele, Gene H. Golub, and Jörg Liesen. `Numerical solution of saddle point problems `_. Acta numerica 14 (2005): 1-137. .. [BrGr02] Bröker, Oliver, and Marcus J. Grote. `Sparse approximate inverse smoothers for geometric and algebraic multigrid `_. Applied numerical mathematics 41.1 (2002): 61-80. .. [BrMH85] Brandt, A., McCormick, S., & Huge, J. (1985). Algebraic multigrid (AMG) for sparse matrix equations. Sparsity and its Applications, 257. .. [BrCC15] Brown, Geoffrey L., David A. Collins, and Zhangxin Chen. `Efficient preconditioning for algebraic multigrid and red-black ordering in adaptive-implicit black-oil simulations `_. SPE Reservoir Simulation Symposium. Society of Petroleum Engineers, 2015. .. [CaGP73] Caretto, L. S., et al. `Two calculation procedures for steady, three-dimensional flows with recirculation `_. Proceedings of the third international conference on numerical methods in fluid mechanics. Springer Berlin Heidelberg, 1973. .. [ChPa15] Chow, Edmond, and Aftab Patel. `Fine-grained parallel incomplete LU factorization `_. SIAM journal on Scientific Computing 37.2 (2015): C169-C193. .. [DeSh12] Demidov, D. E., and Shevchenko, D. V. `Modification of algebraic multigrid for effective GPGPU-based solution of nonstationary hydrodynamics problems `_. Journal of Computational Science 3.6 (2012): 460-462. .. [DeRo19] Demidov, Denis, and Riccardo Rossi. `Subdomain deflation combined with local AMG: A case study using AMGCL library `_. Lobachevskii Journal of Mathematics 41.4 (2020): 491-511. .. [Demi19] Demidov, Denis. `AMGCL: An efficient, flexible, and extensible algebraic multigrid implementation `_. Lobachevskii Journal of Mathematics 40.5 (2019): 535-546. .. [DeMW20] D. Demidov, L. Mu, and B. Wang. `Accelerating linear solvers for Stokes problems with C++ metaprogramming `_. Journal of Computational Science 49 (2021): 101285. .. [Demi20] Demidov, Denis. `AMGCL -- A C++ library for efficient solution of large sparse linear systems `_. Software Impacts 6 (2020): 100037. .. [Demi21] Demidov, D. E. `Partial Reuse AMG Setup Cost Amortization Strategy for the Solution of Non-Steady State Problems `_. Lobachevskii Journal of Mathematics 42.11 (2021): 2530-2536. .. [Demi22] Demidov, Denis. `Efficient solution of 3D elasticity problems with smoothed aggregation algebraic multigrid and block arithmetics `_. arXiv preprint arXiv:2202:09056 (2022). .. [ElHS08] Elman, Howard, et al. `A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier–Stokes equations `_. Journal of Computational Physics 227.3 (2008): 1790-1808. .. [Fokk96] Fokkema, Diederik R. "Enhanced implementation of BiCGstab (l) for solving linear systems of equations." Universiteit Utrecht. Mathematisch Instituut, 1996. .. [FrVu01] Frank, Jason, and Cornelis Vuik. `On the construction of deflation-based preconditioners `_. SIAM Journal on Scientific Computing 23.2 (2001): 442-462. .. [GhKK12] P. Ghysels, P. Kłosiewicz, and W. Vanroose. `Improving the arithmetic intensity of multigrid with the help of polynomial smoothers `_. Numer. Linear Algebra Appl. 2012;19:253-267. .. [GiSo11] Van Gijzen, Martin B., and Peter Sonneveld. `Algorithm 913: An elegant IDR (s) variant that efficiently exploits biorthogonality properties `_. ACM Transactions on Mathematical Software (TOMS) 38.1 (2011): 5. .. [GmHJ15] Gmeiner, Björn, et al. `A quantitative performance study for Stokes solvers at the extreme scale `_. Journal of Computational Science 17 (2016): 509-521. .. [Grie14] Gries, Sebastian, et al. `Preconditioning for efficiently applying algebraic multigrid in fully implicit reservoir simulations `_. SPE Journal 19.04 (2014): 726-736. .. [GrHu97] Grote, Marcus J., and Thomas Huckle. `Parallel preconditioning with sparse approximate inverses `_. SIAM Journal on Scientific Computing 18.3 (1997): 838-853. .. [Meye05] S. Meyers, Effective C++: 55 specific ways to improve your programs and designs, Pearson Education, 2005. .. [MiKu03] Mittal, R. C., and A. H. Al-Kurdi. `An efficient method for constructing an ILU preconditioner for solving large sparse nonsymmetric linear systems by the GMRES method `_. Computers & Mathematics with applications 45.10-11 (2003): 1757-1772. .. [Saad03] Saad, Yousef. Iterative methods for sparse linear systems. Siam, 2003. .. [SaTu08] Sala, Marzio, and Raymond S. Tuminaro. `A new Petrov-Galerkin smoothed aggregation preconditioner for nonsymmetric linear systems `_. SIAM Journal on Scientific Computing 31.1 (2008): 143-166. .. [SlDi93] Sleijpen, Gerard LG, and Diederik R. Fokkema. "BiCGstab (l) for linear equations involving unsymmetric matrices with complex spectrum." Electronic Transactions on Numerical Analysis 1.11 (1993): 2000. .. [Stue07] Stüben, Klaus, et al. `Algebraic multigrid methods (AMG) for the efficient solution of fully implicit formulations in reservoir simulation `_. SPE Reservoir Simulation Symposium. Society of Petroleum Engineers, 2007. .. [Stue99] Stüben, Klaus. Algebraic multigrid (AMG): an introduction with applications. GMD-Forschungszentrum Informationstechnik, 1999. .. [TNVE09] Tang, J. M., Nabben, R., Vuik, C., & Erlangga, Y. A. (2009). `Comparison of two-level preconditioners derived from deflation, domain decomposition and multigrid methods `_. Journal of scientific computing, 39(3), 340-370. .. [TrOS01] Trottenberg, U., Oosterlee, C., and Schüller, A. Multigrid. Academic Press, London, 2001. .. [VaMB96] Vaněk, Petr, Jan Mandel, and Marian Brezina. `Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems. `_ Computing 56.3 (1996): 179-196. .. [ViBo92] Vincent, C., and R. Boyer. `A preconditioned conjugate gradient Uzawa‐type method for the solution of the Stokes problem by mixed Q1–P0 stabilized finite elements `_. International journal for numerical methods in fluids 14.3 (1992): 289-298.