Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

Effective parallel algorithms for solving partial differential equations

2016/21/B/ST1/00350

Keywords:

parallel algorithms partial differential equations domain decomposition methods

Descriptors:

  • ST1_16: Numerical analysis
  • ST1_11: Partial differential equations

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Leszek Marcinkowski 

Number of co-investigators in the project: 4

Call: OPUS 11 - announced on 2016-03-15

Amount awarded: 468 000 PLN

Project start date (Y-m-d): 2017-02-09

Project end date (Y-m-d): 2022-02-08

Project duration:: 60 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (9)
  • Book publications / chapters in book publications (12)
  1. An adaptively enriched coarse space for Schwarz preconditioners for P1 discontinuous Galerkin multiscale finite element problems
    Authors:
    Erik Eikeland, Leszek Marcinkowski, Talal Rahman
    Academic press:
    IMA Journal of Numerical Analysis (rok: 2021, tom: 41, strony: 2873--2895), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imanum/draa043 - link to the publication
  2. ADDITIVE AVERAGE SCHWARZ WITH ADAPTIVE COARSE SPACES: SCALABLE ALGORITHMS FOR MULTISCALE PROBLEMS
    Authors:
    Leszek Marcinkowski, Talal Rahman
    Academic press:
    Electronic Transactions on Numerical Analysis (rok: 2018, tom: 49, strony: 28--40), Wydawca: Kent State University and RICAM
    Status:
    Published
    DOI:
    10.1553/etna_vol49s28 - link to the publication
  3. On the composite discontinuous Galerkin method for simulations of electric properties of semiconductor devices
    Authors:
    KONRAD SAKOWSKI, LESZEK MARCINKOWSKI, PAWEL STRAK , PAWEL KEMPISTY, STANISLAW KRUKOWSKI
    Academic press:
    Electronic Transactions on Numerical Analysis (rok: 2019, tom: 51, strony: 75-98), Wydawca: Kent State University and RICAM
    Status:
    Published
    DOI:
    10.1553/etna_vol51s75. - link to the publication
  4. Overlapping Schwarz methods with adaptive coarse spaces for multiscale problems in 3D
    Authors:
    Erik Eikeland, Leszek Marcinkowski, Talal Rahman
    Academic press:
    Numerische Mathematik (rok: 2018, tom: Online first, strony: 45317), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00211-018-1008-9 - link to the publication
  5. An adaptively enriched coarse space for Schwarz preconditioners for P1 discontinuous Galerkin multiscale finite element problems
    Authors:
    Erik Eikeland, Leszek Marcinkowski, Talal Rahman
    Academic press:
    IMA Journal of Numerical Analysis (rok: 2020, tom: online wkrótce, strony: 45315), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imanum/draa043 - link to the publication
  6. Analysis of a preconditioner for a membrane difussion problem with Kedem--Katchalsky transmission condition
    Authors:
    Piotr Krzyżanowski
    Academic press:
    Computers & Mathematics with Applications , Wydawca: Elsevier
    Status:
    Submitted
  7. Effects of Mg dopant in Al-composition-graded AlxGa1−xN (0.45 ⩽ x) on vertical electrical conductivity of ultrawide bandgap AlGaN p–n junction
    Authors:
    Kosuke Sato, Kazuki Yamada, Konrad Sakowski, Motoaki Iwaya, Tetsuya Takeuchi, Satoshi Kamiyama, Yoshihiro Kangawa, Pawel Kempisty, Stanislaw Krukowski, Jacek Piechota, Isamu Akasaki.
    Academic press:
    Applied Physics Express (rok: 2021, tom: 14, strony: 096503-1--096503-5), Wydawca: The Japan Society of Applied Physics
    Status:
    Published
    DOI:
    10.35848/1882-0786/ac1d64 - link to the publication
  8. Estimating efficiency of AlGaN light-emitting diodes with numerical simulations.
    Authors:
    Konrad Sakowski, Kazuki Yamada, Kosuke Sato, Pawel Kempisty, Motoaki Iwaya, Hideto Miyake, Pawel Strak, Akira Kusaba, Yoshihiro Kangawa, Stanislaw Krukowski.
    Academic press:
    Journal of the Japanese Association for Crystal Growth (rok: 2020, tom: 47, strony: 47-3-05), Wydawca: The Japanese Association for Crystal Growth
    Status:
    Published
    DOI:
    10.19009/jjacg.47-3-05 - link to the publication
  9. Additive Average Schwarz Method for Elliptic Mortar Finite Element Problems with Highly Heterogeneous Coefficients
    Authors:
    Ali Khademi, Leszek Marcinkowski, Sanjib Kumar Acharya, Talal Rahman
    Academic press:
    Numerical Algorithms , Wydawca: Springer
    Status:
    Submitted
  1. Additive Schwarz with vertex based adaptive coarse space for multiscale problems in 3D
    Authors:
    Leszek Marcinkowski, Talal Rahman
    Book:
    Domain Decomposition Methods in Science and Engineering XXIV (rok: 2018, tom: 125, strony: 475-482), Wydawca: Springer (Lecture Notes in Computational Science and Engineering)
    Status:
    Published
  2. Two New Enriched Multiscale Coarse Spaces for the Additive Average Schwarz Method
    Authors:
    Leszek Marcinkowski, Talal Rahman
    Book:
    Domain Decomposition Methods in Science and Engineering XXIII (rok: 2017, tom: 116, strony: 389-396), Wydawca: Springer ( Lecture Notes in Computational Science and Engineering)
    Status:
    Published
  3. Numerical study of an additive Schwarz preconditioner for a thin membrane diffusion problem
    Authors:
    Piotr Krzyżanowski
    Book:
    Domain Decomposition Methods in Science and Engineering XXVI (rok: 2022, ), Wydawca: Springer, Lecture Notes in Computational Science and Engineering
    Status:
    Accepted for publication
  4. A Study of the Effects of Irregular Subdomain Boundaries on Some Domain Decomposition Algorithms
    Authors:
    Erik Eikeland, Leszek Marcinkowski, Talal Rahman
    Book:
    Domain Decomposition Methods in Science and Engineering XXIII (rok: 2017, tom: 116, strony: 295-302), Wydawca: Springer ( Lecture Notes in Computational Science and Engineering)
    Status:
    Published
  5. Nonoverlapping Three Grid Additive Schwarz for hp-DGFEM with Discontinuous Coefficients
    Authors:
    Piotr Krzyżanowski
    Book:
    Domain Decomposition Methods in Science and Engineering XXIV (rok: 2018, tom: 125, strony: 455-463), Wydawca: Springer Lecture Notes in Computational Science and Engineering book series (LNCSE)
    Status:
    Published
  6. Adaptive Schwarz method for Crouzeix-Raviart multiscale problems in 2D
    Authors:
    Leszek Marcinkowski, Talal Rahman, Ali Khademi
    Book:
    Domain Decomposition Methods in Science and Engineering XXVI (rok: 2022, ), Wydawca: Springer, Lecture Notes in Computational Science and Engineering
    Status:
    Accepted for publication
  7. Adaptive Schwarz method for DG Multiscale Problems in 2D
    Authors:
    Leszek Marcinkowski, Talal Rahman
    Book:
    Domain Decomposition Methods in Science and Engineering XXV (rok: 2020, tom: 138, strony: 294-301), Wydawca: Springer Lecture Notes in Computational Science and Engineering book series (LNCSE)
    Status:
    Published
  8. Nonoverlapping Additive Schwarz Method for hp-DGFEM with Higher-order Penalty Terms
    Authors:
    Piotr Krzyżanowski and Marcus Sarkis
    Book:
    Domain Decomposition Methods in Science and Engineering XXV (rok: 2020, tom: 138, strony: 227-233), Wydawca: Springer Lecture Notes in Computational Science and Engineering book series (LNCSE)
    Status:
    Published
  9. Overlapping Schwarz Preconditioner for Fourth Order Multiscale Elliptic Problems
    Authors:
    Leszek Marcinkowski, Talal Rahman
    Book:
    Parallel Processing and Applied Mathematics 13th International Conference, PPAM 2019, Bialystok, Poland, September 8–11, 2019, Revised Selected Papers, Part II (rok: 2020, tom: 12044, strony: 245-255), Wydawca: Springer, Lecture Notes in Computer Science book series (LNCS)
    Status:
    Published
  10. Additive Average Schwarz with Adaptive Coarse Space for Morley FE
    Authors:
    Salah Alrebeei, Mahmood Jokar, Leszek Marcinkowski
    Book:
    Parallel Processing and Applied Mathematics 13th International Conference, PPAM 2019, Bialystok, Poland, September 8–11, 2019, Revised Selected Papers, Part II (rok: 2020, tom: 12044, strony: 287-297), Wydawca: Springer, Lecture Notes in Computer Science book series (LNCS)
    Status:
    Published
  11. MATLAB Implementation of Element-Based Solvers
    Authors:
    Leszek Marcinkowski, Jan Valdman
    Book:
    Large-Scale Scientific Computing (rok: 2020, tom: 11958, strony: 601-609), Wydawca: Springer Lecture Notes in Computer Science book series (LNCS)
    Status:
    Published
  12. Simple Preconditioner for a Thin Membrane Diffusion Problem
    Authors:
    Piotr Krzyżanowski
    Book:
    Parallel Processing and Applied Mathematics 13th International Conference, PPAM 2019, Bialystok, Poland, September 8–11, 2019, Revised Selected Papers, Part II (rok: 2020, tom: 12044, strony: 267-276), Wydawca: Springer, Lecture Notes in Computer Science book series (LNCS)
    Status:
    Published