Publications:

1. Leszek Marcinkowski, and Talal Rahman, A FETI-DP method for Crouzeix-Raviart finite element discretizations, Computational methods in applied mathematics (CMAM), to appear.
2. Leszek Marcinkowski, A preconditioner for a FETI-DP method for mortar element discretization of a 4th order problem in 2D, Electronic Transactions on Numerical Analysis (ETNA), Volume 38, 2011, pp. 1 - 16. On-line.
3. Leszek Marcinkowski, A balancing Neumann–Neumann method for a mortar finite element discretization of a fourth order elliptic problem, Journal of Numerical Mathematics, Volume 18, Issue 3, 2010, pp. 219–234. On-line: DOI: 10.1515/JNUM.2010.011.
4. Leszek Marcinkowski, A Balancing Domain Decomposition Method for a Discretization of a Plate Problem on Nonmatching Grids, In: Parallel Processing and Applied Mathematics, Roman Wyrzykowski, Jack Dongarra, Konrad Karczewski, and Jerzy Wasniewski, eds., vol. 6067/2010 of Lecture Notes in Computer Science (LNCS), Springer Verlag, 2010, pp. 70 - 79. on-line: DOI: 10.1007/978-3-642-14390-8_8.
5. Maria Gokieli and Leszek Marcinkowski. A solver for the finite element approximation scheme for the Cahn-Hiliard / Allen-Cahn system with logarithmic enhropy. In: Current Advances in Nonlinear Analysis and Related Topics, T. Aiki, N. Kenmochi, M. Niezgódka, M. Otani, editors. GAKUTO Internat. Ser. Scie. Appl. 32, 2010, Gakkotosho, Tokyo, Japan, pp. 289-306.
6. Leszek Marcinkowski, Talal Rahman, and Jan Valdman, A 3D Crouzeix-Raviart mortar finite element, Computing, Volume 86, Number 4, 2009, pp. 313-330. On-line: DOI: 10.1007/s00607-009-0071-6.
7. Leszek Marcinkowski, An Additive Neumann-Neumann Method for Mortar Finite Element for 4th Order Problems In: Domain Decomposition Methods in Science and Engineering XVIII, Michel Bercovier, Martin J. Gander, Ralf Korhuber, and Olof B. Widlund, eds., vol. 70 of Lecture Notes in Computational Science and Engineering(LNCSE), Springer Verlag, 2009, pp. 323-330. On-line: DOI: 10.1007/978-3-642-02677-5_36. The book and the paper are also published on-line on DD18 www pages: book in pdf and paper (pdf)..
8. Leszek Marcinkowski, A Neumann-Neumann algorithm for a mortar finite element for fourth order elliptic problems in 2D. Numerical Methods for Partial Differential Equations, Volume 25, Issue 6, 2009, pp. 1425-1442. Online in Wiley InterScience: DOI: 10.1002/num.20406.
9. Leszek Marcinkowski, and Talal Rahman, Neumann - Neumann algorithms for a mortar Crouzeix-Raviart element for 2nd order elliptic problems, BIT Numerical Mathematics, Volume 48, Number 3, 2008, pp. 607-626. On-line DOI: 10.1007/s10543-008-0167-y.
10. Leszek Marcinkowski, and Nina Dokeva, A FETI-DP method for mortar finite element discretization of a fourth order problem In: Domain Decomposition Methods in Science and Engineering XVII, Ulrich Langer, Marco Discacciati, David E. Keyes, Olof B. Widlund, and Walter Zulehner, eds., vol. 60 of Lecture Notes in Computational Science and Engineering(LNCSE), Springer Verlag, 2008, pp. 583 - 590. On-line: pdf-file
11. Leszek Marcinkowski, An Additive Schwarz Method for mortar Morley finite element discretizations of 4th order elliptic problem in 2D, Electronic Transactions on Numerical Analysis (ETNA), Volume 26, 2007, pp.34-54. on-line.
12. Leszek Marcinkowski, An iterative substructuring method for mortar nonconforming discretization of a fourth-order elliptic problem in two dimensions. In: Domain Decomposition Methods in Science and Engineering XVI, Olof B. Widlund and David E. Keyes, eds., vol. 55. of Lecture Notes in Computational Science and Engineering, Springer Verlag, 2007, pp. 685 - 692. On-line: pdf-file.
13. Maria Gokieli and Leszek Marcinkowski, Modeling phase transitions in alloys. Nonlinear Analysis 63, Issues 5-7, 2005, str. 1143-1153. Elsevier, on-line: DOI:10.1016/j.na.2005.03.090
14. Leszek Marcinkowski, Additive Schwarz Method for mortar discretization of elliptic problems with P1 nonconforming finite element. BIT Numerical Mathematics 45, No 2, 2005. pp. 375 - 394, on-line: DOI: 10.1007/s10543-005-7123-x. This is a revised version of the preprint.
    
15. Xiao-Chuan Cai, Leszek Marcinkowski, and Panayot Vassilevski An Element Agglomeration Nonlinear Additive Schwarz Preconditioned Newton Method for Unstructured Finite Element Problems, Applications of Mathematics 50, No 3, June 2005, pp. 247- 275, on-line: DOI: 10.1007/s10492-005-0016-0
16. Leszek Marcinkowski.A Mortar Finite Element Method for Fourth Order Problems in Two Dimensions with Lagrange Multipliers. SIAM Journal on Numerical Analysis 42, issue 5, 2005 pp. 1998-2019, DOI: 10.1137/S0036142902387574
17. Leszek Marcinkowski, and Xiao-Chuan Cai - Parallel Performance of Some Two-Level ASPIN Algorithms. In Domain Decomposition Methods in Science and Engineering, R. Kornhuber, R. Hoppe, J. Périaux, O. Pironneau, O.B. Widlund, J. Xu, eds., vol. 40 of Lecture Notes in Computational Science and Engineering , 2005, Springer Verlag, pp. 639-646. Electronic preprint - pdf file
    
18. Leszek Marcinkowski, Xiao-Chuan Cai, and Panayot Vassilevski. Nonlinear Additive Schwarz Preconditioned Newton Method for Unstructured Meshes, in Proceedings of the conference 'Iterative Methods, Preconditioning and Numerical PDE's (IMET 2004), Prague, May 25 -28, 2004, Radim Blaheta and Jiří Starý, editors. The conference was devoted to the jubilee of Owe Axelsson, pp. 121-124.
19. Maria Gokieli, and Leszek Marcinkowski. Discrete approximation of a Cahn-Hilliard /Allen-Cahn system with logarithmical entropy. Japan Journal of Industrial and Applied Mathematics 20, 2003,no 3, pp. 321-351.
20. Xiao-Chuan Cai , David E. Keyes, and Leszek Marcinkowski, Nonlinear Additive Schwarz Preconditioners and Applications in Computational Fluid Dynamics, International Journal of Numerical Methods in Fluid Mechanics 40, 2002, pp. 1463-1470. Digital Object Identifier (DOI): 10.1002/fld.404
21. Leszek Marcinkowski. A mortar element method for some discretizations of a plate problem, Numerische Mathematik 93, 2002, Issue 2 , pp. 361-386 on-line : DOI: 10.1007/s002110100389
22. Maria Gokieli, and Leszek Marcinkowski. Numerical solution of coupled Cahn--Hilliard and Allen--Cahn equations with logarithmic entropy, pp. 173-182. In: Proceedings of the 2nd Polish-Japanese Days on: Mathematical Aspects of Modelling Structure Formation Phenomena, Warsaw-Bedlewo, November 19-26, 2000. Eds: N. Kenmochi, M. Niezgodka, M. Otani. GAKUTO Internat. Ser. Math. Sci. Appl. 17, 2001, Gakkotosho, Tokyo.
23. Leszek Marcinkowski, Domain decomposition methods for mortar finite discretizations of plate problems, SIAM Journal on Numerical Analysis 39, issue 4, 2001 , pp. 1097-1114, DOI: 10.1137/S0036142900371192
24. Leszek Marcinkowski, A mortar finite element method for plate problems, In: Domain Decomposition Methods in Sciences and Engineering, 12th International Conference on Domain Decomposition Methods, Chiba, Japan (Chiba University, Chiba, Japan, October 25-29, 1999). T. Chan, T. Kako, H. Kawarada and O. Pironneau, eds., DDM org., 2001, pp. 183-190. On-line: a pdf file.
25. Leszek Marcinkowski, The mortar element method with locally nonconforming elements, BIT Numerical Mathematics 39, no 4, 1999, pp. 716-739, on-line: DOI: 10.1023/A:1022343324625
26. Leszek Marcinkowski, The mortar element method for quasilinear elliptic boundary value problems, East-West J. Numer. Math. 4, no 4, 1996, pp. 293-309.

1. Leszek Marcinkowski. Numeryczne równania różniczkowe. (Numerical Differential Equations). Lecture notes in Polish available on-line on the portal of Faculty of Mathematics, Informatics and Mechanics, University of Warsaw. Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Warsaw, 2011. pdf file
2. Leszek Marcinkowski. Numerical methods of solving elliptic equations on nonmatching meshes, distinguished habilitation thesis, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, June 2010, summary pdf-115KB
3. Leszek Marcinkowski, A Balancing Neumann-Naumann Method for a Mortar Finite Element Discretization of Fourth Order Elliptic Problems, Technical Report, Institute of Applied Mathematics and Mechanics, Department of Mathematics, Informatics and Mechanics, University of Warsaw, No 197, February 2010. pdf-230KB
4. Leszek Marcinkowski, A preconditioner for FETI-DP method for mortar element discretization of a 4th order problem in 2D Technical Report, Institute of Applied Mathematics and Mechanics, Department of Mathematics, Informatics and Mechanics, University of Warsaw, No 182, July 2008. pdf-256KB..
5. Leszek Marcinkowski, A Neumann-Neumann algorithm for a mortar finite element for fourth order elliptic problems in 2D Technical Report, Institute of Applied Mathematics and Mechanics, Department of Mathematics, Informatics and Mechanics, University of Warsaw, No 173, June 2007. Published after revisions, see above
6. Leszek Marcinkowski, and Talal Rahman, Neumann - Neumann algorithms for a mortar formulation of the Crouzeix-Raviart nonconforming finite element for second order elliptic problems, Bergen Center of Computational Sciences (BCCS), Technical Report No.19, Bergen, Norway, 2006/07. Published after revisions, see above
7. Leszek Marcinkowski, An Additive Schwarz Method for mortar Morley finite element discretizations of 4th order elliptic problem in 2D, Technical Report, Institute of Applied Mathematics and Mechanics, Department of Mathematics, Informatics and Mechanics,Warsaw University, No 152, June 2005. pdf-204K. Published after revisions see above.
8. Leszek Marcinkowski, Additive Schwarz Method for mortar discretization of elliptic problems with P1 nonconforming finite element. Technical Report, Institute of Applied Mathematics and Mechanics,Department of Mathematics, Informatics and Mechanics, Warsaw University, No 138, April 2004. Published after revisions see above.
9. Maria Gokieli and Leszek Marcinkowski: Discrete approximation of a Cahn-Hilliard / Allen-Cahn system with logarithmic entropy. Technical Report, Institute of Applied Mathematics and Mechanics, Department of Mathematics, Informatics and Mechanics, Warsaw University, No 118, February 2002. Published after revisions see above.
10. Xiao-Chuan Cai, David E. Keyes, and Leszek Marcinkowski, Nonlinear Additive Schwarz Preconditioners and Applications in Computational Fluid Dynamics, unpublished draft 2001. Published after revisions see above. Preprint pdf-205KB.
11. Leszek Marcinkowski: A mortar method for 4th order problems with dual Lagrange multipliers Technical Report, Institute of Applied Mathematics and Mechanics, Department of Mathematics, Informatics and Mechanics,Warsaw University, No 84, January 2001. Published after revisions see above.
12. Leszek Marcinkowski: Two Domain Decomposition Methods for Mortar Finite Element Discretizations of Plate Problems. Technical Report, Institute of Applied Mathematics and Mechanics, Department of Mathematics, Informatics and Mechanics, Warsaw University, No 75, April 2000. Published after revisions see above.
13. Leszek Marcinkowski: A mortar element method for some discretizations of a plate problem. Technical Report, Institute of Applied Mathematics and Mechanics, Department of Mathematics, Informatics and Mechanics,Warsaw University, No 61, October1999. Published after revisions see above.
14. Leszek Marcinkowski. Mortar methods for some second and fourth order elliptic equations. distinguished Ph.D. thesis, Faculty of Mathematics, Informatics and Mechanics, Warsaw University, adviser: prof. M. Dryja, January 1999, pdf-1024KB. A summary of the thesis in polish (7 pages): pdf-100KB
15. Leszek Marcinkowski: The mortar element method with locally nonconforming elements. Technical Report, Institute of Applied Mathematics and Mechanics, Department of Mathematics, Informatics and Mechanics, Warsaw University, No 35, 1997. Some results are included PhD thesis, Warsaw University 1999, see above. Published after revisions see above.
16. Leszek Marcinkowski. The mortar element method for quasilinear elliptic boundary value problems. Unpublished draft 1996. Some results are included PhD thesis, Warsaw University 1999, see above. Published after revisions see above.
17. Leszek Marcinkowski. Additive Schwarz method for quasilinear partial differential equations, Technical Report, Institute of Applied Mathematics and Mechanics, Department of Mathematics, Informatics and Mechanics,Warsaw University, No 13, January 1996. Preprint: pdf-138KB
18. Leszek Marcinkowski. Metoda dekompozycji obszaru dla quasiliniowych eliptycznych równań różniczkowych cząstkowych. (Domain Decomposition Method for Quasilinear Elliptic Partial Differential Equations). Master's thesis. Faculty of Mathematics, Informatics and Mechanics, Warsaw University, adviser: prof. M. Dryja, August 1994, draft in polish: pdf-196KB.