Publications

Leszek Marcinkowski

Number of publications: 63

2025

• Leszek Marcinkowski , Talal Rahman, Adaptive Parallel Average Schwarz Preconditioner for Reduced Hsieh-Clouh-Tocher Macro Element, 15th International Conference on Parallel Processing and Applied Mathematics, Ostrawa, Czechia, 7 September 2024 - 10 September 2024. See in PBN

2024

• Leszek Marcinkowski , Talal Rahman, Adaptive Schwarz Method for a Non-Conforming Crouzeix-Raviart Discretization of a Multiscale Elliptic Problem, 27th International Conference on Domain Decomposition Methods in Science and Engineering, Prague, Czechia, 25 July 2022 - 29 July 2022. See in PBN

2023

• Leszek Marcinkowski , Talal Rahman, Adaptive Parallel Average Schwarz Preconditioner for Crouzeix-Raviart Finite Volume Method, 14th International Conference on Parallel Processing and Applied Mathematics, Gdańsk, Poland, 11 September 2022 - 14 September 2022. See in PBN

2022

• Bartłomiej Szczygieł, Leszek Marcinkowski , A review note on arbitrary precision arithmetic, Mathematica Applicanda (Matematyka Stosowana). Annales Societatis Mathematicae Polonae Series III, 50 (2) 2022, p. 153-164. See in PBN
• Leszek Marcinkowski , Talal Rahman, Ali Khademi, Adaptive Schwarz Method for Crouzeix–Raviart Multiscale Problems in 2D, 26th International Conference on Domain Decomposition Methods in Science and Engineering, Hong Kong, China, 7 December 2020 - 12 December 2020. See in PBN

2021

• Erik Eikeland, Leszek Marcinkowski , Talal Rahman, An adaptively enriched coarse space for Schwarz preconditioners for P1 discontinuous Galerkin multiscale finite element problems, IMA Journal of Numerical Analysis, 41 (4) 2021, p. 2873-2895. See in PBN

2020

• Leszek Marcinkowski , Talal Rahman, Adaptive Schwarz Method for DG Multiscale Problems in 2D, Domain Decomposition Methods in Science and Engineering XXV, 2020, p. 294-301. See in PBN
• Salah Alrabeei, Mahmood Jokar, Leszek Marcinkowski , Additive Average Schwarz with Adaptive Coarse Space for Morley FE, Parallel Processing and Applied Mathematics: 13th International Conference, PPAM 2019, Bialystok, Poland, September 8–11, 2019, Revised Selected Papers, Part II, 2020, p. 287-297. See in PBN
• Leszek Marcinkowski , Jan Valdman, MATLAB Implementation of Element-Based Solvers, 12th International Conference on Large-Scale Scientific Computing, Sozopol, Bulgaria, 10 June 2019 - 14 June 2019. See in PBN
• Jan Valdman, Leszek Marcinkowski , Modeling and Simulation in Engineering - Selected Problems, 2020. See in PBN
• Leszek Marcinkowski , Talal Rahman, Overlapping Schwarz Preconditioner for Fourth Order Multiscale Elliptic Problems, Parallel Processing and Applied Mathematics: 13th International Conference, PPAM 2019, Bialystok, Poland, September 8–11, 2019, Revised Selected Papers, Part II, 2020, p. 245-255. See in PBN

2019

• Konrad Sakowski , Leszek Marcinkowski , Paweł Strąk, Paweł Kempisty, Stanisław Krukowski, On the composite discontinuous Galerkin method for simulations of electric properties of semiconductor devices, Electronic Transactions on Numerical Analysis, 51 2019, p. 75-98. See in PBN
• Erik Eikeland, Leszek Marcinkowski , Talal Rahman, Overlapping Schwarz methods with adaptive coarse spaces for multiscale problems in 3D, Numerische Mathematik, 142 (1) 2019, p. 103-128. See in PBN

2018

• Leszek Marcinkowski , Talal Rahman, Additive average Schwarz with adaptive coarse spaces: scalable algorithms for multiscale problems, Electronic Transactions on Numerical Analysis, 49 2018, p. 28-40. See in PBN
• Leszek Marcinkowski , Talal Rahman, Additive Schwarz with Vertex Based Adaptive Coarse Space for Multiscale Problems in 3D, International conference on Domain Decomposition Methods :DD24, Longyearbyen, Norway, 6 February 2018 - 10 February 2018. See in PBN
• Leszek Marcinkowski , Talal Rahman, Additive Schwarz with Vertex Based Adaptive Coarse Space for Multiscale Problems in 3D, Domain Decomposition Methods in Science and Engineering XXIV, 2018, p. 475-482. See in PBN

2017

• Erik Eikeland, Leszek Marcinkowski , Talal Rahman, A Study of the Effects of Irregular Subdomain Boundaries on Some Domain Decomposition Algorithms, The 23rd international conference on Domain Decomposition, Jeju, the Republic of Korea, 6 July 2015 - 10 July 2015. See in PBN
• Erik Eikeland, Talal Rahman, Leszek Marcinkowski , A Study of the Effects of Irregular Subdomain Boundaries on Some Domain Decomposition Algorithms, Domain Decomposition Methods in Science and Engineering XXIII, 2017, p. 295-302. See in PBN
• Leszek Marcinkowski , Talal Rahman, Two New Enriched Multiscale Coarse Spaces for the Additive Average Schwarz Method, Domain Decomposition Methods in Science and Engineering XXIII, 2017, p. 389-396. See in PBN
• Leszek Marcinkowski , Talal Rahman, Two New Enriched Multiscale Coarse Spaces for the Additive Average Schwarz Method, The 23rd international conference on Domain Decomposition, Jeju, the Republic of Korea, 6 July 2015 - 10 July 2015. See in PBN

2016

• Atle Loneland, Leszek Marcinkowski , Talal Rahman, Additive Average Schwarz Method for a Crouzeix-Raviart Finite Volume Element Discretization of Elliptic Problems, The 22th conference on Domain decomposition methods, Lugano, Switzerland, 16 September 2013 - 20 September 2013. See in PBN
• Leszek Marcinkowski , Additive average Schwarz method for a Crouzeix-Raviart finite volume element discretization of elliptic problems with heterogeneous coefficients, Numerische Mathematik, 134 2016, p. 91–118. See in PBN
• Leszek Marcinkowski , Additive Schwarz preconditioner for the finite volume element discretization of symmetric elliptic problems, BIT Numerical Mathematics, 56 2016, p. 967–993. See in PBN
• Leszek Marcinkowski , Talal Rahman, An Iterative Regularization Algorithm for the TV-Stokes in Image Processing, Parallel Processing and Applied Mathematics 2016, Kraków, Poland, 6 September 2015 - 9 September 2015. See in PBN
• Stanisław Krukowski, Paweł Kempisty, Leszek Marcinkowski , Paweł Strak, Konrad Sakowski , Discretization of the Drift-Diffusion Equations with the Composite Discontinuous Galerkin Method, Parallel Processing and Applied Mathematics. 11th International Conference, PPAM 2015, PPAM 2015, Revised Selected Papers, Part II, 2016, p. 391-400. See in PBN
• Konrad Sakowski , Leszek Marcinkowski , Paweł Strąk, Paweł Kempisty, Stanisław Krukowski, Discretization of the Drift-Diffusion Equations with the Composite Discontinuous Galerkin Method, Lecture Notes in Computer Science, 11th International Conference on Parallel Processing and Applied Mathematics, Kraków, Poland, 6 September 2015 - 9 September 2015, 9574 2016, p. 391-400. See in PBN
• Stanisław Krukowski, Leszek Marcinkowski , Konrad Sakowski , Paweł Strąk, Optimization of InGaN Laser Diodes Based on Numerical Simulations, Acta Physica Polonica A, 2016. See in PBN
• Leszek Marcinkowski , Bartłomiej Matejczyk, Zbigniew Piotrowski, Piotr K. Smolarkiewicz, Parallel ADI preconditioners for all-scale atmospheric models, Parallel Processing and Applied Mathematics 2016, Kraków, Poland, 6 September 2015 - 9 September 2015. See in PBN
• Atle Loneland, Leszek Marcinkowski , Talal Rahman, Schwarz Methods for a Crouzeix-Raviart Finite Volume Discretization of Elliptic Problems, The 22th conference on Domain decomposition methods, Lugano, Switzerland, 16 September 2013 - 20 September 2013. See in PBN
• Leszek Marcinkowski , Talal Rahman, Schwarz Preconditioner with Face Based Coarse Space for Multiscale Elliptic Problems in 3D, Parallel Processing and Applied Mathematics 2016, Kraków, Poland, 6 September 2015 - 9 September 2015. See in PBN

2015

• Leszek Marcinkowski , Edge-based Schwarz methods for the Crouzeix-Raviart finite volume element discretization of elliptic problems, Electronic Transactions on Numerical Analysis, 44 2015, p. 443-461. See in PBN

2014

• Leszek Marcinkowski , A Neumann-Dirichlet Preconditioner for FETI-DP Method For Mortar Discretization of a 4th Order Problems in 2D, 2014. See in PBN
• Stanisław Krukowski, Leszek Marcinkowski , Konrad Sakowski , Modification of the Newton's method for the simulations of gallium nitride semiconductor devices, Lecture Notes in Computer Science, 10th International Conference on Parallel Processing&Applied Mathematics, Warszawa, Poland, 8 September 2013 - 11 September 2013. See in PBN
• Leszek Marcinkowski , Stanisław Krukowski, Konrad Sakowski , Modification of the Newton's method for the simulations of gallium nitride semiconductor devices, Parallel Processing and Applied Mathematics, 2014. See in PBN
• Leszek Marcinkowski , Talal Rahman, Parallel preconditioner for Finite Volume Element discretization of elliptic problem, Parallel Processing and Applied Mathematics, 2014. See in PBN

2013

• Leszek Marcinkowski , A Neumann-Dirichlet preconditioner for FETI-DP method for mortar discretization of a 4th order problems in 2D, Domain decomposition methods in science and engineering XX, 2013, p. 627-634. See in PBN

2012

• Leszek Marcinkowski , Talal Rahman, A FETI-DP Method for Crouzeix-Raviart Finite Element Discretizations, Computational Methods in Applied Mathematics, 2012. See in PBN
• Leszek Marcinkowski , Parallel Preconditioner for Nonconforming Adini Discretization of a Plate Problem on Nonconforming Meshes, 2012. See in PBN
• Konrad Sakowski , Leszek Marcinkowski , Stanisław Krukowski, Szymon Grzanka, Elżbieta Litwin-Staszewska, Simulation of trap-assisted tunneling effect on characteristics of gallium nitride diodes, Journal of Applied Physics, 2012. See in PBN

2011

• 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, 2011. See in PBN

2010

• Leszek Marcinkowski , A Balancing Domain Decomposition Method for a Discretization of a Plate Problem on Nonmatching Grids, Lecture Notes in Computer Science, 2010. See in PBN
• Leszek Marcinkowski , A balancing Neumann-Neumann method for a mortar finite element discretization of a fourth order elliptic problem, Journal of Numerical Mathematics, 2010. See in PBN
• Maria Gokieli, Leszek Marcinkowski , A solver for the finite approximation scheme for the Cahn--Hilliard/Allen--Cahn system with logarithmic entropy, Games and Economic Behavior, 2010. See in PBN
• Maria Gokieli, Leszek Marcinkowski , A solver for the finite element approximation scheme for the Cahn-Hiliard/Allen-Cahn system with logarithmic entropy, 2010. See in PBN

2009

• Leszek Marcinkowski , Talal Rahman, Jan Valdman, A 3D Crouzeix - Raviart mortar finite element, Computing (Vienna/New York), 2009. See in PBN
• Leszek Marcinkowski , A Neumann-Neumann Algorithm for a Mortar Finite Element Discretization of Fourth-Order Elliptic Problems in 2D, Numerical Methods for Partial Differential Equations, 2009. See in PBN
• Leszek Marcinkowski , An Additive Neumann-Neumann Method for Mortar Finite Element for 4th Order Problems, 18th International Conference on Domain Decomposition, 2009. See in PBN

2008

• N. Dokeva, Leszek Marcinkowski , A FETI-DP method for mortar finite element discretization of a fourth order problem, 2008. See in PBN
• Leszek Marcinkowski , A Neumann-Neumann algorithm for a mortar finite element for fourth order elliptic problems in 2D, Numerical Methods for Partial Differential Equations, 2008. See in PBN
• Leszek Marcinkowski , Talal Rahman, Neuman-Neuman algorithms for a mortar Crouzeix-Raviart element for 2nd order elliptic problems, BIT Numerical Mathematics, 2008. See in PBN

2007

• Leszek Marcinkowski , An additive Schwarz method for mortar Morley finite element discretizations of 4th order elliptic problem in 2D, Electronic Transactions on Numerical Analysis, 2007. See in PBN

2006

• Leszek Marcinkowski , An Iterative Substructuring Method for Mortar Nonconforming Discretization of a Fourth-Order Elliptic Problem in Two Dimensions, 2006. See in PBN

2005

• Leszek Marcinkowski , A mortar finite element method for fourth order problems in two dimensions with Lagrange multipliers, SIAM Journal on Numerical Analysis, 2005. See in PBN
• Leszek Marcinkowski , Additive Schwarz method for mortar discretization of elliptic problems with P1 nonconforming finite element, BIT Numerical Mathematics, 2005. See in PBN
• Xiao-Chuan Cai, Leszek Marcinkowski , Panayot Vassilevski, An element agglomeration nonlinear additive Schwarz preconditioned Newton method for unstructured finite element problems, Applications of Mathematics, 2005. See in PBN
• Maria Gokieli, Leszek Marcinkowski , Modelling phase transitions in alloys, Nonlinear Analysis Forum, 2005. See in PBN

2004

• Xiao-Chuan Cai, Leszek Marcinkowski , Parallel performance of some two-level ASPIN algorithms, 2004. See in PBN

2003

• Maria Gokieli, Leszek Marcinkowski , Discrete Approximation of the Cahn-Hilliard/ Allen-Cahn System with Logarithmic Entropy, Japan Journal of Industrial and Applied Mathematics, 2003. See in PBN

2002

• Leszek Marcinkowski , A mortar element method for some discretizations of a plate problem., Numerische Mathematik, 2002. See in PBN
• Maria Gokieli, Leszek Marcinkowski , Numerical solution of coupled Cahn--Hilliard and Allen--Cahn equations with logarithmic entropy, 2002. See in PBN

2001

• Leszek Marcinkowski , A mortar finite element method for plate problems., 2001. See in PBN
• Leszek Marcinkowski , Domain decomposition methods for mortar finite element discretizations of plate problems., SIAM Journal on Numerical Analysis, 2001. See in PBN
• Maria Gokieli, Leszek Marcinkowski , Numerical solution of coupled Cahn-Hilliard and Allen-Cahn equations with logarithmic entropy., 2001. See in PBN