Publications:

1. Leszek Marcinkowski, and Talal Rahman, Adaptive Schwarz Method for a Non-Conforming Crouzeix-Raviart Discretization of a Multiscale Elliptic Problem, In: Domain Decomposition Methods in Science and Engineering XXVII, Editors: Zdeněk Dostál, Tomáš Kozubek, Axel Klawonn, Ulrich Langer, Luca F. Pavarino, Jakub Šístek, Olof B. Widlund. Lecture Notes in Computational Science and Engineering, 2024, Volume 149, Springer Verlag, pp. 495-502, DOI: 10.1007/978-3-031-50769-4_59.
2. Leszek Marcinkowski and Talal Rahman, Adaptive Parallel Average Schwarz Preconditioner for Crouzeix-Raviart Finite Volume Method, In: Parallel Processing and Applied Mathematics 14th International Conference, PPAM 2022, Gdansk, Poland, September 11-14, 2022, Revised Selected Papers, Part II, Editors: Roman Wyrzykowski, Ewa Deelman, Jack Dongarra, and Konrad Karczewski. Lecture Notes in Computer Science, 2023, vol. 13827, Springer Verlag, pp. 300-312. Doi:10.1007/978-3-031-30445-3_25.
3. Leszek Marcinkowski, Talal Rahman, and Ali Khademi Adaptive Schwarz Method for Crouzeix-Raviart Multiscale Problems in 2D, In: Domain Decomposition Methods in Science and Engineering XXVI, Editors: Susanne C. Brenner, Eric Chung, Axel Klawonn, Felix Kwok, Jinchao Xu, and Jun Zou. Lecture Notes in Computational Science and Engineering, 2022, Volume 145, Springer Verlag, pp. 451-459, DOI: 10.1007/978-3-030-95025-5_48.
4. Bartłomiej Szczygieł, and Leszek Marcinkowski, A review note on arbitrary precision arithmetic, Mathematica Applicanda, , vol. 50, no. 2, 2022, pp. 153-164. DOI: 10.14708/ma.v50i2.7193
5. Erik Eikeland, Leszek Marcinkowski, and Talal Rahman, An adaptively enriched coarse space for Schwarz preconditioners for P1 discontinuous Galerkin multiscale finite element problems, IMA Journal of Numerical Analysis, vol. 41, Issue 4, October 2021, pp. 2873--2895. DOI: 10.1093/imanum/draa043
6. Modeling and Simulation in Engineering, Selected problems. Edited by Jan Valdman and Leszek Marcinkowski. IntechOpen, London, UK, 2020. ISBN: 978-1-83968-249-0. DOI: 10.5772/intechopen.87734
7. Leszek Marcinkowski and Talal Rahman, Adaptive Schwarz Method for DG Multiscale Problems in 2D In: Domain Decomposition Methods in Science and Engineering XXV, Editors: Ronald Haynes, Scott MacLachlan, Xiao-Chuan Cai, Laurence Halpern, Hyea Hyun Kim, Axel Klawonn, and Olof Widlund. Lecture Notes in Computational Science and Engineering book series (LNCSE), vol. 138, Springer Verlag, pp. 294-301. Doi:10.1007/978-3-030-56750-7_33.
8. Leszek Marcinkowski and Talal Rahman, Overlapping Schwarz Preconditioner for Fourth Order Multiscale Elliptic Problems, In: Parallel Processing and Applied Mathematics 13th International Conference, PPAM 2019, Bialystok, Poland, September 8-11, 2019, Revised Selected Papers, Part II, Editors: Roman Wyrzykowski, Ewa Deelman, Jack Dongarra, and Konrad Karczewski. Lecture Notes in Computer Science 2020, vol. 12044, Springer Verlag, pp. 245-255. Doi:10.1007/978-3-030-43222-5_21.
9. Salah Alrabeei, Mahmood Jokar, and Leszek Marcinkowski, Additive Average Schwarz with Adaptive Coarse Space for Morley FE, In: Parallel Processing and Applied Mathematics 13th International Conference, PPAM 2019, Bialystok, Poland, September 8-11, 2019, Revised Selected Papers, Part II, Editors: Roman Wyrzykowski, Ewa Deelman, Jack Dongarra, and Konrad Karczewski. Lecture Notes in Computer Science 2020, vol. 12044, Springer Verlag, pp. 287-297. Doi:10.1007/978-3-030-43222-5_25.
10. Leszek Marcinkowski and Jan Valdman, MATLAB Implementation of Element-Based Solvers, In: Large-Scale Scientific Computing, 12th International Conference, LSSC 2019, Sozopol, Bulgaria, June 10-14, 2019, Revised Selected Papers. Editors: Ivan Lirkov and Svetozar Margenov. Lecture Notes in Computer Science 2020, vol. 11958, Springer Verlag, pp. 601-609. Doi: 10.1007/978-3-030-41032-2_69
11. Konrad Sakowski, Leszek Marcinkowski, Pawel Strak, Pawel Kempisty, and Stanislaw Krukowski, On the composite discontinuous Galerkin method for simulations of electric properties of semiconductor devices, Electronic Transactions on Numerical Analysis (ETNA), vol. 51, 2019, pp. 75-98. On-line, doi:10.1553/etna_vol51s75.
12. Erik Eikeland, Leszek Marcinkowski, and Talal Rahman, Overlapping Schwarz methods with adaptive coarse spaces for multiscale problems in 3D, Numerische Mathematik, vol. 142, 2019, pp. 103-128. DOI: 10.1007/s00211-018-1008-9
13. Leszek Marcinkowski and Talal Rahman, Additive Schwarz with Vertex Based Adaptive Coarse Space for Multiscale Problems in 3D, In: Domain Decomposition Methods in Science and Engineering XXIV, Editors: Petter E. Bj?rstad, Susanne C. Brenner, Lawrence Halpern, Hyea Hyun Kim, Ralf Kornhuber, Talal Rahman, and Olof B. Widlund. Lecture Notes in Computational Science and Engineering, 2018, Volume 125, Springer Verlag, pp. 475-482, DOI: 10.1007/978-3-319-93873-8_45.
14. Leszek Marcinkowski and Talal Rahman, Additive Average Schwarz with Adaptive Coarse Spaces: Scalable Algorithms for Multiscale Problems, Electronic Transactions on Numerical Analysis (ETNA), Vol. 49 Dedicated to Olof B. Widlund on the occasion of his 80th birthday, 2018, pp. 28-40. On-line
15. Erik Eikeland, Leszek Marcinkowski, and Talal Rahman, A Study of the Effects of Irregular Subdomain Boundaries on Some Domain Decomposition Algorithms, In: Domain Decomposition Methods in Science and Engineering XXIII, Editors: Chang-Ock Lee, Xiao-Chuan Cai, David E. Keyes, Hyea Hyun Kim, Axel Klawonn, Eun-Jae Park, and Olof B. Widlund. Lecture Notes in Computational Science and Engineering, 2017, tom 116, Springer Verlag, pp. 295-302, DOI: 10.1007/978-3-319-52389-7_30.
16. Leszek Marcinkowski and Talal Rahman, Two New Enriched Multiscale Coarse Spaces for the Additive Average Schwarz Method, In: Domain Decomposition Methods in Science and Engineering XXIII, Editors: Chang-Ock Lee, Xiao-Chuan Cai, David E. Keyes, Hyea Hyun Kim, Axel Klawonn, Eun-Jae Park, and Olof B. Widlund. Lecture Notes in Computational Science and Engineering, 2017, vol. 116, Springer Verlag, pp. 389-396, DOI: 10.1007/978-3-319-52389-7_40.
17. Atle Loneland, Leszek Marcinkowski, Talal Rahman, and Jan Valdman Additive Schwarz preconditioner for the finite volume element discretization of symmetric elliptic problems , BIT Numerical Mathematics, Volume 56, Issue 3, September 2016, pp. 967-993. DOI: 10.1007/s10543-015-0581-x
18. Atle Loneland, Leszek Marcinkowski, and Talal Rahman, Additive average Schwarz method for a Crouzeix-Raviart finite volume element discretization of elliptic problems with heterogeneous coefficients, , Numerische Mathematik, Volume 134, Issue 1, September 2016, pp. 91-118. DOI: 10.1007/s00211-015-0771-0 ,
19. Konrad Sakowski, Pawel Strak, Stanislaw Krukowski, and Leszek Marcinkowski. Optimization of InGaN Laser Diodes Based on Numerical Simulations. Acta Physica Polonica, A. 129, 2016, pp. A33-A35.
20. Zbigniew P. Piotrowski , Bartlomiej Matejczyk, Leszek Marcinkowski, and Piotr K. Smolarkiewicz, Parallel ADI Preconditioners for All-Scale Atmospheric Models, In: Parallel Processing and Applied Mathematics, 11th International Conference, PPAM 2015, Krakow, Poland, September 6-9, 2015. Revised Selected Papers, Part II, Editors: Roman Wyrzykowski, Ewa Deelman, Jack Dongarra, Konrad Karczewski, Jacek Kitowski, Kazimierz Wiatr. Lecture Notes in Computer Science 2016, tom 9574, Springer Verlag, pp. 607-618.
21. Leszek Marcinkowski, and Talal Rahman, Schwarz Preconditioner with Face Based Coarse Space for Multiscale Elliptic Problems in 3D, In: Parallel Processing and Applied Mathematics, 11th International Conference, PPAM 2015, Krakow, Poland, September 6-9, 2015. Revised Selected Papers, Part II, Editors: Roman Wyrzykowski, Ewa Deelman, Jack Dongarra, Konrad Karczewski, Jacek Kitowski, and Kazimierz Wiatr. Lecture Notes in Computer Science 2016, vol. 9574, Springer Verlag, pp. 345-354.
22. Leszek Marcinkowski, and Talal Rahman, An Iterative Regularization Algorithm for the TV-Stokes in Image Processing, In: Parallel Processing and Applied Mathematics, 11th International Conference, PPAM 2015, Krakow, Poland, September 6-9, 2015. Revised Selected Papers, Part II, Editors: Roman Wyrzykowski, Ewa Deelman, Jack Dongarra, Konrad Karczewski, Jacek Kitowski, and Kazimierz Wiatr. Lecture Notes in Computer Science 2016, vol. 9574, Springer Verlag, pp. 381-390.
23. Konrad Sakowski , Leszek Marcinkowski, Pawel Strak, Pawel Kempisty, and Stanislaw Krukowski, Discretization of the Drift-Diffusion Equations with the Composite Discontinuous Galerkin Method, In: Parallel Processing and Applied Mathematics, 11th International Conference, PPAM 2015, Krakow, Poland, September 6-9, 2015. Revised Selected Papers, Part II, Editors: Roman Wyrzykowski, Ewa Deelman, Jack Dongarra, Konrad Karczewski, Jacek Kitowski, and Kazimierz Wiatr. Lecture Notes in Computer Science 2016, vol. 9574, Springer Verlag, pp. 391-400.
24. Atle Loneland , Leszek Marcinkowski, and Talal Rahman, Additive Average Schwarz Method for a Crouzeix - Raviart Finite Volume Element Discretization of Elliptic Problems, In: Domain Decomposition Methods in Science and Engineering XXII, Editors: Thomas Dickopf, Martin J. Gander, Laurence Halpern, Rolf Krause, Luca F. Pavarino, Lecture Notes in Computational Science and Engineering, 2016, Vol. 104, Springer Verlag, pp. 587-594
25. Leszek Marcinkowski , Atle Loneland, and Talal Rahman, Schwarz Methods for a Crouzeix-Raviart Finite Volume Discretization of Elliptic Problems, In: Domain Decomposition Methods in Science and Engineering XXII, Editors: Thomas Dickopf, Martin J. Gander, Laurence Halpern, Rolf Krause, Luca F. Pavarino, Lecture Notes in Computational Science and Engineering, 2016, Vol. 104, Springer Verlag, pp. 595-602.
26. Atle Loneland, Leszek Marcinkowski, and Talal Rahman, Edge-based Schwarz methods for the Crouzeix-Raviart finite volume element discretization of elliptic problems, Electronic Transactions on Numerical Analysis (ETNA), Volume 44, 2015, pp. 443-461. On-line
27. Leszek Marcinkowski, and Talal Rahman, Parallel Preconditioner for the Finite Volume Element Discretization of Elliptic Problems, In: Parallel Processing and Applied Mathematics, 10th International Conference, PPAM 2013, Warsaw, Poland, September 8-11, 2013, Revised Selected Papers, Part II, Roman Wyrzykowski,Jack Dongarra,Konrad Karczewski,Jerzy Wasniewski, editors, Lecture Notes in Computer Science 2014, Volume 8385, pp. 469-478.
28. Konrad Sakowski, Leszek Marcinkowski, and Stanislaw Krukowski Modification of the Newton's Method for the Simulations of Gallium Nitride Semiconductor Devices, In: Parallel Processing and Applied Mathematics, 10th International Conference, PPAM 2013, Warsaw, Poland, September 8-11, 2013, Revised Selected Papers, Part II, Roman Wyrzykowski,Jack Dongarra,Konrad Karczewski,Jerzy Wasniewski, editors, Lecture Notes in Computer Science 2014, Volume 8385, pp. 551-560.
29. Leszek Marcinkowski, and Talal Rahman, A parallel preconditioner for a FETI-DP method for the Crouzeix-Raviart finite element, Domain Decomposition Methods in Science and Engineering XXI, Erhel, J., Gander, M.J., Halpern, L., Pichot, G., Sassi, T., Widlund, O.B, editors, Lecture Notes in Computational Science and Engineering, Volume 98, April 2014, pp. 697-705. .
30. Leszek Marcinkowski, A Neumann-Dirichlet Preconditioner for FETI-DP Method For Mortar Discretization of a 4th Order Problems in 2D, in: Domain decomposition methods in science and engineering XX, R. Bank, M. Holst, O. Widlund, J. Xu, editors, Lecture Notes in Computational Science and Engineering, Springer, vol. 91, Berlin, May 2013, pp. 627-634.
31. Konrad Sakowski, Leszek Marcinkowski, Stanislaw Krukowski,Szymon Grzanka, Elzbieta Litwin-Staszewska, Simulation of trap-assisted tunneling effect on characteristics of gallium nitride diodes, Journal of Applied Physics, Vol.111, 2012, 123115:1-7
32. Leszek Marcinkowski, Parallel Preconditioner for Nonconforming Adini Discretization of a Plate Problem on Nonconforming Meshes, In: Parallel Processing and Applied Mathematics, 9th International Conference, PPAM 2011, Torun, Poland, September 11-14, 2011. Revised Selected Papers, Part I, , Roman Wyrzykowski, Jack Dongarra, Konrad Karczewski, Jerzy Wasniewski, eds., vol. 7203/2012 of Lecture Notes in Computer Science (LNCS), Springer Verlag, 2012, pp. 70 - 79.
33. Leszek Marcinkowski, Talal Rahman, A FETI-DP method for Crouzeix-Raviart finite element discretizations , Computational methods in applied mathematics (CMAM), Vol. 12, issue 1, 2012, pp. 73 - 91.
34. 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.
35. 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.
36. Leszek Marcinkowski, A Balancing Domain Decomposition Method for a Discretization of a Plate Problem on Nonmatching Grids, In: Parallel Processing and Applied Mathematics 8th International Conference, PPAM 2009, Wroclaw, Poland, September 13-16, 2009. Revised Selected Papers, Part I, , editors: 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.
37. 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. Niezg?dka, M. Otani, editors. GAKUTO Internat. Ser. Scie. Appl. 32, 2010, Gakkotosho, Tokyo, Japan, pp. 289-306.
38. 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.
39. 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)..
40. 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.
41. 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.
42. 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
43. 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.
44. 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.
45. 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
46. 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.
    
47. 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
48. 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
49. 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. P?riaux, 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
    
50. 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 Jiř? Star?, editors. The conference was devoted to the jubilee of Owe Axelsson, pp. 121-124.
51. 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.
52. 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
53. 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
54. 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.
55. 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
56. 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.
57. 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
58. 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, Talal Rahman. Additive average Schwarz with adaptive coarse spaces: scalable algorithms for multiscale problems. Eprint, arXiv:1709.00452, September 2017. Online: arXiv:1709.00452 [math.NA]. To appear in ETNA.
2. Erik Eikeland, Leszek Marcinkowski, Talal Rahman. Adaptively enriched coarse space for the discontinuous Galerkin multiscale problems. Eprint, arXiv:1706.02325, November 2017. Online: arXiv:1706.02325 [math.NA].
3. Erik Eikeland, Leszek Marcinkowski, and Talal Rahman. Overlapping Schwarz Methods with Adaptive Coarse Spaces for Multiscale Problems in 3D. Eprint, arXiv:1611.00968, November 2016. Published in arXiv:1611.00968 [math.NA].
4. Konrad Sakowski, Leszek Marcinkowski, Pawel Strak, Pawel Kempisty, Stanisław Krukowski, On Composite Discontinuous Galerkin Method for simulations of electric properties of semiconductor devices. Eprint, arXiv:1603.01167, March 2016. Online: arXiv:1603.01167 [math.NA].
5. Leszek Marcinkowski, Talal Rahman, and Jan Valdman. Additive Schwarz preconditioner for the general nite volume element discretization of symmetric elliptic problems. Technical Report No. 204, Institute of Applied Mathematics and Mechanics, University of Warsaw, May 2014. Published also as eprint in arXiv:1405.0185 [math.NA] and later in a revised form in BIT Numer. Math. vol.56, September 2016, see above.
6. Leszek Marcinkowski. Numeryczne rownania rozniczkowe. (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
7. 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
8. 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
9. 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..
10. 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
11. 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
12. 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.
13. 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.
14. 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.
15. 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.
16. 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.
17. 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.
18. 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.
19. 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
20. 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.
21. 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.
22. 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
23. 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.