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Preprints

  1. Analysis of a discontinuous Galerkin method for diffusion problems on intersecting domains
    M. Kuchta, R. Masri, B. Riviere
    Submitted, 2026
  2. A priori error analysis of the proximal Galerkin method
    B. Keith, R. Masri, M. Zeinhofer
    Submitted, 2025
  3. In-silico molecular enrichment and clearance of the human intracranial space
    M. Causemann, M. Kuchta, R. Masri, M.E. Rognes
    Submitted, 2025
  4. A locally-conservative proximal Galerkin method for pointwise bound constraints
    G. Fu, B. Keith, R. Masri
    Submitted, 2025

Publications

  1. A discontinuous Galerkin method for the extracellular membrane intracellular model
    R. Masri, KLA. Kirk, E. Hauge, M. Kuchta
    IMA Journal of Numerical Analysis (to appear), 2026
  2. A unified framework for the error analysis of physics-informed neural networks
    M. Zeinhofer, R. Masri, K. A. Mardal
    IMA Journal of Numerical Analysis, 2024
  3. The modelling error in multi-dimensional time-dependent solute transport models
    R. Masri, M. Zeinhofer, M. Kuchta, M. E. Rognes
    ESAIM: Mathematical Modelling and Numerical Analysis, 2024
  4. Discontinuous Galerkin methods for 3D-1D systems
    R. Masri, M. Kuchta, B. Riviere
    SIAM Journal on Numerical Analysis, 2024
  5. Numerical analysis of a hybridized discontinuous Galerkin method for the Cahn–Hilliard problem
    KLA. Kirk, R. Masri, B. Riviere
    IMA Journal of Numerical Analysis, 2023
  6. Convergence of a decoupled splitting scheme for the Cahn-Hilliard-Navier-Stokes System
    C.Liu, R. Masri, B. Riviere
    SIAM Journal on Numerical Analysis, 2023
  7. Discontinuous Galerkin approximations to elliptic and parabolic problems with a Dirac line source
    R. Masri, B. Shen, B. Riviere
    ESAIM: Mathematical Modelling and Numerical Analysis, 2023
  8. Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations
    R. Masri, C. Liu, B. Riviere
    Numerical Methods for Partial Differential Equations, 2023
  9. A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: stability and convergence
    R. Masri, C. Liu, B. Riviere
    Mathematics of Computation, 2022
  10. A discontinuous Galerkin method for blood flow and solute transport in one-dimensional vessel networks
    R. Masri, C. Puelz, B. Riviere
    Communications on Applied Mathematics and Computation, 2021
  11. A reduced model for solute transport in compliant blood vessels with arbitrary axial velocity profile
    R. Masri, C. Puelz, B. Riviere
    International Journal of Heat and Mass Transfer, 2021

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