New computational paradigm Isogeometric Residual Minimization method (iGRM) and its application for solution of parabolic, hyperbolic, linear and nonlinear problems

2017/26/M/ST1/00281

Keywords

Descriptors

  • ST1_16: Analiza numeryczna i obliczenia naukowe

Panel

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

Host institution

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie, Wydział Informatyki, Elektroniki i Telekomunikacji

Voivodeship: małopolskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Maciej Paszyński

Number of co-investigators in the project: 5

Call

HARMONIA 9 – announced on 2017-06-14

Amount awarded
554 400 PLN
Project start date
2018-04-16
Project end date
2021-12-15
Project duration
44 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 (15)

  1. Linear computational cost implicit solver for parabolic problems

    Authors:
    Grzegorz GURGUL, Marcin ŁOŚ, Maciej PASZYŃSKI, Victor Calo
    Academic press:
    Computer Science (year: 2020, volume: 21(3), pages: 335-352), Publisher: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie
    Status:
    Published
    DOI:
    10.7494/csci.2020.21.3.3824 – link to the publication
  2. Isogeometric Residual Minimization method (iGRM) with direction splitting preconditioner for stationary advection-dominated diffusion problems

    Authors:
    Victor Manuel Calo, Marcin ŁOŚ, Quanling Deng, Ignacio Muga, Maciej PASZYŃSKI
    Academic press:
    Computer Methods in Applied Mechanics and Engineering (year: 2021, volume: 373(113214), pages: 46038), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cma.2020.113214 – link to the publication
  3. Parallel graph‑grammar‑based algorithm for the longest‑edge refnement of triangular meshes and the pollution simulations in Lesser Poland area

    Authors:
    Krzysztof Podsiadło, Albert Oliver Serra, Anna Paszyńska, Rafael Montenegro, Ian Henriksen, Maciej Paszyński, Keshav Pingali
    Academic press:
    Engineering with Computers (year: 2021, volume: 37(1), pages: 46046), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00366-020-01253-y – link to the publication
  4. DGIRM: Discontinuous Galerkin based isogeometric residual minimization for the Stokes problem

    Authors:
    Marcin Łoś, Sergio Rojas, Maciej Paszyński, Ignacio Muga,Victor M. Calo
    Academic press:
    Journal of Computational Science (year: 2021, volume: 50, pages: 46032), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jocs.2021.101306 – link to the publication
  5. Isogeometric residual minimization (iGRM) for non-stationary Stokes and Navier–Stokes problems

    Authors:
    Marcin Łoś, Ignacio Muga, Judit Munoz-Matute, Maciej Paszyński
    Academic press:
    Computers and Mathematics with Applications (year: 2021, volume: 95, pages: 200-214), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.camwa.2020.11.013 – link to the publication
  6. Computational costs of multi-frontal direct solvers with analysis-suitable T-splines

    Authors:
    Anna Paszyńska, Maciej PASZYŃSKI
    Academic press:
    Symmetry (year: 2020, volume: 12(12), pages: 46048), Publisher: MDPI
    Status:
    Published
    DOI:
    10.3390/sym12122070 – link to the publication
  7. Isogeometric Residual Minimization Method (iGRM) with Direction Splitting for Non-Stationary Advection-Diffusion Problems

    Authors:
    Marcin Łoś, Judit Munoz-Matute, Ignacio Muga, Maciej Paszynski
    Academic press:
    Computes and Mathematics with Applications (year: 2020, volume: 79, pages: 213-229), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.camwa.2019.06.023 – link to the publication
  8. Object-oriented implementation of the alternating directions implicit solver for isogeometric analysis

    Authors:
    Grzegorz Gurgul, Maciej Paszyński
    Academic press:
    Advances in Engineering Software (year: 2019, volume: 128, pages: 187-220), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.advengsoft.2018.09.008 – link to the publication
  9. Fast isogeometric solvers for hyperbolic wave propagation problems

    Authors:
    Marcin Łoś, Pouria Behnoudfar, Maciej Paszyński, Victor Calo
    Academic press:
    Computers and Mathematics with Applications (year: 2020, volume: 80, pages: 109-120), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.camwa.2020.03.002 – link to the publication
  10. Framework for topographic mesh generation and its application to the pollution simulations in Kraków area

    Authors:
    Krzysztof Podsiadło, Albert Oliver Serra, Maciej Paszyński
    Academic press:
    Computer Methods in Material Science (year: 2019, volume: 19(1), pages: 21-28), Publisher: Publishing House Akapit
    Status:
    Published
  11. Isogeometric Residual Minimization Method (iGRM) with Direction Splitting Preconditoner for Stationary Advection-Dominated Diffusion Problems

    Authors:
    Victor Calo, Marcin Łoś, Quanling Deng, Ignacio Muga, Maciej Paszyński
    Academic press:
    Computer Methods in Applied Mechanics and Engineering (year: 2021, volume: (373) 113214, pages: 46038), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cma.2020.113214 – link to the publication
  12. Comparison of multi-frontal and alternating directions parallel hybrid memory iGRM direct solver for non-stationary simulations

    Authors:
    Maciej Woźniak, Anna Bukowska
    Academic press:
    Computer Science (year: 2020, volume: 21(4), pages: 419-439), Publisher: AGH University
    Status:
    Published
    DOI:
    10.7494/csci.2020.21.4.3834 – link to the publication
  13. Higher order and continuity 𝐿2 projections with piece-wise constant test functions

    Authors:
    Maciej Paszyński, Marcin Łoś
    Academic press:
    Journal of Computational Science (year: 2021, volume: 55, pages: 46043), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jocs.2021.101442 – link to the publication
  14. Overview of adaptive and low-rank approximation algorithms for modeling influence of electromagnetic waves generated by the cellphone antenna on the human head

    Authors:
    Barbara Głut, Maciej Paszyński
    Academic press:
    Computer Science (year: 2021, volume: 22(4), pages: 433-461), Publisher: AGH University
    Status:
    Published
    DOI:
    10.7494/csci.2021.22.4.4251 – link to the publication
  15. Three-dimensional simulations of the airborne COVID-19 pathogens using the advection-diffusion model and alternating-directions implicit solver

    Authors:
    Marcin Łoś, Maciej Woźniak, Ignacio Muga, Maciej Paszyński
    Academic press:
    Bulletin of the Polish Academy of Sciences: Technical Sciences (year: 2021, volume: 69(4), pages: 46030), Publisher: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/bpasts.2021.137125 – link to the publication

Articles in post-conference publications (16)

  1. Isogeometric Residual Minimization Method (iGRM)

    Authors:
    M. Paszyński
    Conference:
    Minimum Residual & Least-Squares Finite Element Methods Fourth Workshop (by invitation only) (year: 2019, pages: 12), Publisher: Department of Mathematics Humboldt-Universität zu Berlin
    Date:
    conference 43724
    Status:
    Published
  2. A Massively Parallel Algorithm for the Three-Dimensional Navier-Stokes-Boussinesq Simulations of the Atmospheric Phenomena

    Authors:
    Maciej Paszyński, Leszek Siwik, Krzysztof Podsiadło, Peter Minev
    Conference:
    International Conference on Computational Science (year: 2020, pages: 102-117), Publisher: Lecture Notes in Computer Science
    Date:
    conference 3-5 czerwca
    Status:
    Published
  3. Isogeometric Residual Minimization Method (iGRM)

    Authors:
    Maciej Paszyński, Marcin Łoś, Ignacio Muga, Victor Calo
    Conference:
    Workshop on Computational Modeling and Numerical Analysis (WCMNA) (year: 2019, pages: 1), Publisher: LNCC, Petropolis, Brazylia
    Date:
    conference 43521
    Status:
    Published
  4. Framework for topographic mesh generation and its application to the pollution simulations in Kraków area

    Authors:
    Krzysztof Podsiadło, Maciej Paszyński, Albert Oliver Serra
    Conference:
    XXVI Conference on Computer Methods in Materials Technology (year: 2019, pages: 46024), Publisher: Wydawnictwo Naukowe Akapit
    Date:
    conference 13–16 stycznia 2019 Zakopane
    Status:
    Published
  5. Isogeometric Residual Minimization Method for Advection-Diffusion Problems

    Authors:
    Marcin Łoś, Maciej Paszyński, Ignacio Muga, Victor Manuel Calo
    Conference:
    4th Polish Congress of Mechanics, 23rd International Conference on Computer Methods in Mechanics (year: 2019, pages: 46024), Publisher: Polish Association for Computational Mechanics (PACM)
    Date:
    conference 8-12 września
    Status:
    Published
  6. A stable discontinuous Galerkin based isogeometric residual minimization for the stokes problem

    Authors:
    Marcin ŁOŚ, Sergio Rojas, Maciej PASZYŃSKI, Ignacio Muga, Victor M. Calo
    Conference:
    International Conference on Computational Science (year: 2020, pages: 197-211), Publisher: Lecture Notes in Computer Science, Springer
    Date:
    conference 3-5 czerwca
    Status:
    Published
  7. Outlier removal for isogeometric spectral approximation with the optimally-blended quadratures

    Authors:
    Quanling Deng, Victor Calo
    Conference:
    International Conference on Computational Science (year: 2021, pages: 46036), Publisher: Lecture Notes in Computer Science, Springer
    Date:
    conference 18-20.6
    Status:
    Published
  8. Effective solution of ill-posed inverse problems with stabilized forward solver

    Authors:
    Marcin Łoś, Robert Schaefer, Maciej Smołka
    Conference:
    International Conference on Computational Science (year: 2021, pages: 46036), Publisher: Lecture Notes in Computer Science, Springer
    Date:
    conference 18-20.6
    Status:
    Published
  9. Deep learning driven self-adaptive hp finite element method

    Authors:
    Maciej Paszyński, Rafał Grzeszczuk, David Pardo, Leszek Demkowicz
    Conference:
    International conference on Computational Science (year: 2021, pages: 114-121), Publisher: Lecture Notes in Computer Science 12742, Springer
    Date:
    conference 18-20.6
    Status:
    Published
  10. Parallel Shared-Memory Isogeometric Residual Minimization (iGRM) for Three-Dimensional Advection-Diffusion Problems

    Authors:
    Marcin Łoś, Judit Munoz-Matute, Krzysztof Podsiadło, Maciej Paszyński, Keshav Pingali
    Conference:
    International Conference on Computational Science (year: 2020, pages: 133-148), Publisher: Lecture Notes in Computer Science
    Date:
    conference 3-5 czerwca
    Status:
    Published
    DOI:
    link to the publication
  11. Three-dimensional efficient simulations of the pollution propagation in Krakow area using stabilized advection-diffusion-reaction solver

    Authors:
    Maciej Paszynski, Krzysztof Podsiadlo, Albert Oliver-Serra, Anna Paszynska
    Conference:
    The 3rd International Conference on Computational Engineering and Science for Safety and Environmental Problems (year: 2020, pages: 1), Publisher: Japan Association for Computational Mechanics
    Date:
    conference 8-11 grudnia
    Status:
    Published
  12. Fast Isogeometric Solvers for Implicit Dynamics Simulations of Heat Transfer and Elastic Wave Propagation Problems

    Authors:
    Maciej Paszyński, Marcin Łoś, Victor Manuel Calo
    Conference:
    World Congress on Computational Mechanics (year: 2018, pages: 1920), Publisher: WCCM 2018
    Date:
    conference 22-27 lipca
    Status:
    Published
    DOI:
    link to the publication
  13. Isogeometric Residual Minimization Method for Advection-Diffusion Problems

    Authors:
    Marcin Łoś, Maciej Paszyński, Ignacio Muga, Victor Manuel Calo
    Conference:
    XXVI Conference on Computer Methods in Materials Technology (year: 2019, pages: 46024), Publisher: Wydawnictwo Naukowe Akapit
    Date:
    conference 13–16 stycznia 2019 Zakopane
    Status:
    Published
  14. Optimization of the alternating direction splitting solver for three-dimensional finite difference simulations of Navier-Stokes problem

    Authors:
    Maciej Paszynski, Maciej Woźniak, Peter Minev
    Conference:
    XXVI Conference on Computer Methods in Materials Technology (year: 2019, pages: 46024), Publisher: Wydawnictwo Naukowe Akapit
    Date:
    conference 13–16 stycznia 2019 Zakopane
    Status:
    Published
  15. isogeometric Residual Minimization Method (iGRM)

    Authors:
    Maciej Paszyński, Marcin Łoś, Ignacio Muga, Victor Manuel Calo
    Conference:
    World Congress on Computational Mechanics (year: 2018, pages: 2533), Publisher: WCCM 2018
    Date:
    conference 22-27 lipca
    Status:
    Published
    DOI:
    link to the publication
  16. Isogeometric Residual Minimization Method

    Authors:
    Maciej Paszyński, Marcin Łoś, Ignacio Muga, Victor Manuel Calo
    Conference:
    Emerging Trends in Applied Mathematics and Mechanics (year: 2018, pages: 1), Publisher: Jagiellonian University
    Date:
    conference 18-22 czerwca
    Status:
    Published

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Graphic design and implementation: Jakub Piotrowski