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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

2011/01/B/ST1/01179

Keywords:

parallel algorithms supercomputers partial differential equations finite element method nonconforming triangulations dicontinuous Galerkin method domain decomposition methods

Descriptors:

  • ST1_16: Numerical analysis
  • ST1_11: Partial differential equations
  • ST1_18: Control theory and optimisation

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):

prof. Maksymilian Dryja 

Number of co-investigators in the project: 3

Call: OPUS 1 - announced on 2011-03-15

Amount awarded: 338 000 PLN

Project start date (Y-m-d): 2011-12-01

Project end date (Y-m-d): 2015-07-31

Project duration:: 44 months (the same as in the proposal)

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (7)
  • Book publications / chapters in book publications (14)
  1. Edge-based schwarz methods for the Crouzeix-Raviart finite volume element discretization of elliptic problems
    Authors:
    Atle Loneland, Leszek Marcinkowski, Talal Rahman
    Academic press:
    Electronic Transactions on Numerical Analysis (rok: 2015, tom: 44, strony: 443-461), Wydawca: Kent State University
    Status:
    Published
    DOI:
    brak - link to the publication
  2. Additive average Schwarz method for a Crouzeix-Raviart finite volume element discretization of elliptic problems with heterogeneous coefficients
    Authors:
    Atle Loneland, Leszek Marcinkowski, Talal Rahman
    Academic press:
    Numerische Mathematik , Wydawca: Springer Verlag
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  3. A FETI-DP method for Crouzeix-Raviart finite element discretizations
    Authors:
    Leszek Marcinkowski, Talal Rahman
    Academic press:
    Computational methods in applied mathematics (CMAM) (rok: 2012, tom: 12, strony: 73 - 91), Wydawca: de Gruyter
    Status:
    Published
    DOI:
    10.2478/cmam-2012-0005 - link to the publication
  4. A massively parallel nonoverlapping additive Schwarz method for discontinuous Galerkin discretization of elliptic problems
    Authors:
    Maksymilian Dryja, Piotr Krzyżanowski
    Academic press:
    Numerische Matematik (rok: 2015, tom: on-line, strony: on-line), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00211-015-0718-5 - link to the publication
  5. A FETI-DP preconditioner for a composite finite element and discontinuous Galerkin method
    Authors:
    Maksymilian Dryja, Juan Galvis, Marcus Sarkis
    Academic press:
    SIAM J. Num. Anal. (rok: 2013, tom: 51, strony: 400-422), Wydawca: SIAM
    Status:
    Published
    DOI:
    10.1137/100796571 - link to the publication
  6. The analysis of a FETI-DP preconditioner for a full DG discretization of elliptic problems in two dimensions
    Authors:
    Maksymilian Dryja, Juan Galvis, Marcus Sarkis
    Academic press:
    Numerische Matematik (rok: 2015, tom: on-line, strony: on-line), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s00211-015-0705x - link to the publication
  7. Additive Schwarz preconditioner for the finite volume element discretization of symmetric elliptic problems
    Authors:
    Leszek Marcinkowski,Talal Rahman, Atle Loneland, Jan Valdman
    Academic press:
    BIT Numerical Mathematics , Wydawca: Springer Verlag
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  1. An iterative regularization algorithm for the TV-Stokes in image processing
    Authors:
    Talal Rahman, Leszek Marcinkowski
    Book:
    Parallel Processing and Applied Mathematics, PPAM2015, Seria: Lecture Notes in Computer Science (LNCS) (rok: 2015, ), Wydawca: Springer Verlag
    Status:
    Accepted for publication
  2. A domain decomposition method for discretization of multiscale elliptic problems by discontinuous Galerkin method
    Authors:
    Maksymilian Dryja
    Book:
    Parallel Processing and Applied Mathematics, PPAM2013 (rok: 2014, tom: LNCS 8385, strony: 461-468), Wydawca: Springer
    Status:
    Published
  3. A parallel preconditioner for a FETI-DP method for the Crouzeix-Raviart finite element
    Authors:
    Leszek Marcinkowski, Talal Rahman
    Book:
    Domain decomposition methods in science and engineering XXI (rok: 2014, tom: LNCSE 98, strony: 697-705), Wydawca: Springer
    Status:
    Published
    DOI:
    link to the publication
  4. Additive Average Schwarz Method for the Crouzeix-Raviart Finite Volume Element Discretization of Elliptic Problems
    Authors:
    Leszek Marcinkowski, Atle Loneland, Talal Rahman
    Book:
    Domain decomposition methods in science and engineering XXII, Seria: Lecture Notes in Computational Science and Engineering (LNCSE) (rok: 2015, ), Wydawca: Springer
    Status:
    Accepted for publication
  5. Additive Schwarz Methods for DG discretization of Elliptic Problems on Nonconforming Meshes
    Authors:
    Maksymilian Dryja, Piotr Krzyżanowski
    Book:
    Domain Decomposition Methods in Science and Engineering XXII (rok: 2015, ), Wydawca: Springer Verlag
    Status:
    Accepted for publication
  6. Schwarz Preconditioner with Face Based Coarse Space for Multiscale Elliptic Problems in 3D
    Authors:
    Leszek Marcinkowski, Talal Rahman
    Book:
    Parallel Processing and Applied Mathematics, PPAM2015, Seria: Lecture Notes in Computer Science (LNCS) (rok: 2015, ), Wydawca: Springer Verlag
    Status:
    Accepted for publication
  7. A deluxe FETI-DP method for full DG discretization of elliptic problems
    Authors:
    Maksymilian Dryja, Juan Galvis, Marcus Sarkis
    Book:
    Domain decomposition methods in science and engineering XXII, Seria: Lecture Notes in Computational Science and Engineering (LNCSE) (rok: 2015, ), Wydawca: Springer Verlag
    Status:
    Accepted for publication
  8. Parallel preconditioner for Finite Volume Element discretization of elliptic problem
    Authors:
    Leszek Marcinkowski, Talal Rahman
    Book:
    Parallel Processing and Applied Mathematics, PPAM2013 (rok: 2014, tom: LNCS 8385, strony: 469-478), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    link to the publication
  9. 3D FETI-DP preconditioner for composite finite element DG methods.
    Authors:
    Maksymilian Dryja, Marcus Sarkis
    Book:
    Domain decomposition methods in science and engineering XXI (rok: 2014, tom: LNCSE 98, strony: 127-140), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    link to the publication
  10. A Neumann-Dirichlet Preconditioner for FETI-DP Method For Mortar Discretization of a 4th Order Problems in 2D
    Authors:
    Leszek Marcinkowski
    Book:
    Domain decomposition methods in science and engineering XX, (rok: 2013, tom: LNCSE 91, strony: 627-634), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    link to the publication
  11. Additive Schwarz method for DG discretization of anisotropic elliptic problems
    Authors:
    Maksymilian Dryja, Piotr Krzyżanowski,Marcus Sarkis
    Book:
    Domain decomposition methods in science and engineering XXI (rok: 2014, tom: LNCSE 98, strony: 407-415), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    link to the publication
  12. Preconditioning iterative substructuring methods using inexact local solvers
    Authors:
    P. Krzyżanowski
    Book:
    Parallel Processing and Applied Mathematics, PPAM2013 (rok: 2014, tom: LNCS 8385, strony: 479-488), Wydawca: Springer
    Status:
    Published
    DOI:
    link to the publication
  13. Additive nonoverlapping Schwarz for h-p composite discontinuous Galerkin
    Authors:
    Piotr Krzyżanowski
    Book:
    Parallel Processing and Applied Mathematics, PPAM2015, Seria: Lecture Notes in Computer Science (LNCS) (rok: 2015, ), Wydawca: Springer Verlag
    Status:
    Accepted for publication
  14. Schwarz methods for a Crouzeix-Raviart finite volume discretization of elliptic problems
    Authors:
    Leszek Marcinkowski, Atle Loneland, Talal Rahman,
    Book:
    Domain decomposition methods in science and engineering XXII, Seria: Lecture Notes in Computational Science and Engineering (LNCSE), (rok: 2015, ), Wydawca: Springer, Berlin
    Status:
    Accepted for publication

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