Piotr Krzyżanowski

Publications

• P. Krzyżanowski, M.Sarkis, Nonoverlapping Additive Schwarz Method for hp-DGFEM with Higher-Order Penalty Terms, Domain Decomposition Methods in Science and Engineering XXV. Lecture Notes in Computer Science and Engineering. Springer (2019)
• P. Krzyżanowski, M. Winkler, D. Wrzosek, Migration-Driven Benefit in a Two-Species Nutrient Taxis System, Nonlinear Analysis: Real World Applications 48: 94–116 (2019)
• P. Krzyżanowski, Nonoverlapping Three Grid Additive Schwarz for hp-DGFEM with Discontinuous Coefficients, Domain Decomposition Methods in Science and Engineering XXIV, 125:455–63. Lecture Notes in Computer Science and Engineering. Springer (2018)
• P. Krzyżanowski, On a nonoverlapping additive Schwarz method for hp discontinuous Galerkin discretization of elliptic problems, Num. Meth. PDEs 32 (6): 1572–90(2016)
• P. Krzyżanowski, Additive nonoverlapping Schwarz for h-p composite discontinuous Galerkin, Parallel Processing and Applied Mathematics. 11th International Conference, PPAM 2015, Springer International Publishing (2016)
• M. Dryja, P. Krzyżanowski, Additive Schwarz Methods for DG Discretization of Elliptic Problems with Discontinuous Coefficient, Domain Decomposition Methods in Science and Engineering XXII. Lecture Notes in Computer Science and Engineering, 167–75. Springer (2016)
• M. Dryja, P. Krzyżanowski, A Massively Parallel Nonoverlapping Additive Schwarz Method for Discontinuous Galerkin Discretization of Elliptic Problems, Num. Math. 132 (2). Springer Berlin Heidelberg: 347–67 (2015).
• P. Krzyżanowski, Preconditioning Iterative Substructuring Methods Using Inexact Local Solvers, Parallel Processing and Applied Mathematics, Springer-Verlag (2014)
• M. Dryja, P. Krzyżanowski, M.Sarkis, Additive Schwarz Method for DG Discretization of Anisotropic Elliptic Problems, Domain Decomposition Methods in Science and Engineering XXI Lecture Notes in Computational Science and Engineering 98:407–15. Springer (2014)
• P. Krzyżanowski, On Block Preconditioners for Generalized Saddle Point Problems, Domain Decomposition Methods in Science and Engineering XX. Springer-Verlag (2013)
• P. Krzyżanowski, Block Preconditioners for Saddle Point Problems Resulting from Discretizations of Partial Differential Equations, in: O.Axelsson, J.Karátson (eds), Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations, e-book, Bentham Science Publishers, (2011).
• P. Krzyżanowski, Obliczenia inżynierskie i naukowe. Skuteczne, szybkie, efektowne, Wydawnictwo Naukowe PWN, 2011. Zobacz też stronę http://www.mimuw.edu.pl/~przykry/obliczenia.
• P. Krzyżanowski, On block preconditioners for saddle point problems with singular or indefinite (1, 1) block, Numerical Linear Algebra with Applications, online, (2010).
• P. Krzyżanowski, Ph. Laurençot, D. Wrzosek, Mathematical Models of Receptor-Mediated Transport of Morphogens, M3AS, vol. 20 (11) pp. 2021-2052 (2010).
• P. Krzyżanowski, On Preconditioners for Generalized Saddle Point Problems with an Indefinite Block, Proceedings of the 18th International Symposium on Domain Decomposition Methods, Lecture Notes in Computational Science and Engineering, Vol. 70, Springer, 2009.
• P. Krzyżanowski, Ph. Laurençot, D. Wrzosek, Well-posedness and convergence to the steady state for a model of morphogen transport, SIAM J. Math. Anal. 40 (2008).
• A. Gambin, P. Krzyżanowski, and P. Pokarowski, Aggregation Algorithms for Perturbed Markov Chains with Applications to Networks Modeling SIAM J. Sci. Comput. Volume 31, Issue 1, pp. 45-73 (2008)
• P. Krzyżanowski, D. Wrzosek, D. Wit, Discontinuous Galerkin method for piecewise regular solutions to the nonlinear age-structured population model , Mathematical Biosciences, 2006
• P. Krzyżanowski, Domain Decomposition for Discontinuous Galerkin Method with Application to Stokes Flow , Proceedings of the 15th International Symposium on Domain Decomposition Methods, DDM.org, 2004
• P. Krzyżanowski, A class of block smoothers for multigrid solution of saddle point problems with application to fluid flow , in: Parallel Processing and Applied Mathematics, Lecture Notes in Computer Science 3019, 2003
• P. Bjørstad, P. Krzyżanowski, Flexible 2-level Neumann-Neumann method for structural analysis problems , in: Proceedings of the 4th International Conference on Parallel Processing and Applied Mathematics, Lecture Notes in Computer Science 2328, 2002
• P. Krzyżanowski, On Block Preconditioners for Nonsymmetric Saddle Point Problems, SIAM J. Sci. Comp., vol. 23 (2001), 1, 157--169.
• P. Bjørstad, J. Koster, P. Krzyżanowski, Domain Decomposition Solvers for Large Scale Industrial Finite Element Problems, in: Applied Parallel Computing. New Paradigms for HPC in Industry and Academia, Lecture Notes in Computer Science 1947, Springer-Verlag, 2001.
• P. Krzyżanowski, Block preconditioners for nonsymmetric saddle point problems, Proceedings of the 11th International Symposium on Domain Decomposition Methods, DDM.org, 1999.
• P. Krzyżanowski, Mathematical and numerical analysis of problems in microcontinuum mechanics, distinguished PhD thesis, Warsaw University, Poland, February 1998.
• M. Bójko i P. Krzyżanowski, Rozwiazywanie ukladow rownan liniowych i nieliniowych przy uzyciu pakietu PETSc (Solving systems of linear and nonlinear equations with PETSc; in Polish), Technical Report RW 98-06 (44), Institute of Applied Mathematics, Warsaw University, September 1998.
• P. Krzyżanowski, A domain decomposition method for micropolar fluids, Proceedings of the Ninth International Conference on Domain Decomposition Methods, DDM.org, 1998.
• P. Krzyżanowski, Mixed finite element method for micropolar equations, Technical Report RW 96-12, Institute of Applied Mathematics, Warsaw University, 1996.
• G. Lukaszewicz and P. Krzyżanowski, On the Heat Convection Equations with Dissipation Term in Regions with Moving Boundaries, Technical Report RW 95-08, Institute of Applied Mathematics, Warsaw University, 1995 (a revised and updated version appeared in Math. Meth. Appli. Sci., vol. 20 (1997), 4, 347--368).
• P. Krzyżanowski, Mixed finite element for stationary flow of a mixture with barodiffusion, Proceedings of IFIP Working Group WG 7.2 Conference on Modelling and Optimization of Distributed Parameter Systems with Applications to Engineering, Warsaw, July 1995, Chapman & Hall.
• P. Krzyżanowski, On Stationary Flow of Asymmetric Fluids with Diffusion, Math. Meth. Appli. Sci., vol. 17 (1994), 11, 837--854.