Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

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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

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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. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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