Publications

Submitted (in review)

  • J. Blechta, P. A. Gazca-Orozco, A. Kaltenbach, and M. Růžička.
    Quasi-optimal Discontinous Galerkin discretisations of the $p$-Dirichlet problem, 2023.
    [pdf | ArXiv]

Refereed journal articles

  • P. A. Gazca-Orozco, A. Kaltenbach.
    On the stability and convergence of Discontinuous Galerkin schemes for incompressible flow.
    IMA J. Numer. Anal., drae004, 2024.
    [DOI | pdf | ArXiv]

  • P. A. Gazca-Orozco, J. Málek, and K. R. Rajagopal.
    Development of boundary layers in Euler fluids that on “activation” respond like Navier-Stokes fluids.
    Math. Models Methods Appl. Sci., 34(04), 705-721, 2024.
    [DOI | pdf | ArXiv]

  • P. A. Gazca-Orozco, V. Průša, and K. Tůma.
    Numerical approximation of a thermodynamically complete rate-type model for the elastic–perfectly plastic response.
    Z. Angew. Math. Mech. 00, e202300030, 2023.
    [DOI | pdf | ArXiv]

  • D. Cichra, P. A. Gazca-Orozco, V. Průša, and K. Tůma.
    A thermodynamic framework for non-isothermal phenomenological models of the Mullins effect.
    Proc. R. Soc. A, 472(2272), 2023.
    [DOI | pdf | ArXiv]

  • P. A. Gazca-Orozco, P. Heid and E. Süli.
    Nonlinear iterative approximation of steady incompressible chemically reacting flows.
    Comptes Rendus. Mécanique 350.S2, 1-25, 2022.
    [DOI | pdf]

  • P. A. Gazca-Orozco, and V. Patel.
    Weak-strong uniqueness for heat conducting non-Newtonian incompressible fluids.
    Nonlinear Anal. Real World Appl., 68, 2022.
    [DOI | pdf | ArXiv]

  • P. E. Farrell, P. A. Gazca-Orozco, and E. Süli.
    Finite element approximation and augmented Lagrangian preconditioning for anisothermal implicitly-constituted non-Newtonian flow.
    Math. Comp. 91, 659-697, 2022.
    [DOI | pdf | ArXiv]

  • P. A. Gazca-Orozco
    A semismooth Newton method for implicitly constituted non-Newtonian fluids and its application to the numerical approximation of Bingham flow.
    ESAIM: M2AN, 55(6), 2679-2703, 2021.
    [DOI | pdf | ArXiv]

  • P. E. Farrell and P. A. Gazca-Orozco.
    An augmented Lagrangian preconditioner for implicitly constituted non-Newtonian incompressible flow.
    SIAM J. Sci. Comput., 42(6), B1329-B1349, 2020.
    [DOI | pdf | ArXiv]

  • P. E. Farrell and P. A. Gazca-Orozco, and E. Süli.
    Numerical analysis of unsteady implicitly constituted incompressible fluids: 3-field formulation
    SIAM J. Numer. Anal., 58(1), 757-787, 2020.
    [DOI | pdf | ArXiv]