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Author: Vaněk, Petr

• Tezaur, Radek; Vaněk, Petr: Improved convergence estimate for a multiply polynomially smoothed two-level method with an aggressive coarsening. (English). Applications of Mathematics, vol. 63 (2018), issue 6, pp. 629-641
• Vaněk, Petr; Pultarová, Ivana: Convergence theory for the exact interpolation scheme with approximation vector as the first column of the prolongator and Rayleigh quotient iteration nonlinear smoother. (English). Applications of Mathematics, vol. 62 (2017), issue 1, pp. 49-73
• Brousek, Jan; Fraňková, Pavla; Vaněk, Petr: Improved convergence bounds for smoothed aggregation method: linear dependence of the convergence rate on the number of levels. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 3, pp. 829-845
• Fraňková, Pavla; Mandel, Jan; Vaněk, Petr: Model analysis of BPX preconditioner based on smoothed aggregation. (English). Applications of Mathematics, vol. 60 (2015), issue 3, pp. 219-250
• Vaněk, Petr; Brezina, Marian: Nearly optimal convergence result for multigrid with aggressive coarsening and polynomial smoothing. (English). Applications of Mathematics, vol. 58 (2013), issue 4, pp. 369-388
• Fraňková, Pavla; Hanuš, Milan; Kopincová, Hana; Kužel, Roman; Vaněk, Petr; Vastl, Zbyněk: A short philosophical note on the origin of smoothed aggregations. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 67-76
• Vaněk, Petr: Smoothed prolongation multigrid with rapid coarsening and massive smoothing. (English). Applications of Mathematics, vol. 57 (2012), issue 1, pp. 1-10
• Vaněk, Petr: Fast multigrid solver. (English). Applications of Mathematics, vol. 40 (1995), issue 1, pp. 1-20
• Křížková, Jitka; Vaněk, Petr: Explicit conjugate gradient method with preconditioning. (English). Applications of Mathematics, vol. 39 (1994), issue 4, pp. 309-316
• Vaněk, Petr: Multi-level method in eigenvalue problem. (English). Applications of Mathematics, vol. 39 (1994), issue 4, pp. 259-267
• Křížková, Jitka; Vaněk, Petr: Multigrid method with preconditioning on coarse level. (English). Applications of Mathematics, vol. 39 (1994), issue 5, pp. 365-373
• Křížková, Jitka; Vaněk, Petr: Preconditioning of conjugate gradients by multigrid solver. (English). Applications of Mathematics, vol. 39 (1994), issue 5, pp. 357-364
• Míka, Stanislav; Vaněk, Petr: Acceleration of convergence of a two-level algebraic algorithm by aggregation in smoothing process. (English). Applications of Mathematics, vol. 37 (1992), issue 5, pp. 343-356
• Vaněk, Petr: Acceleration of convergence of a two-level algorithm by smoothing transfer operators. (English). Applications of Mathematics, vol. 37 (1992), issue 4, pp. 265-274
• Míka, Stanislav; Vaněk, Petr: A modification of the two-level algorithm with overcorrection. (English). Applications of Mathematics, vol. 37 (1992), issue 1, pp. 13-28