Preprints

1. Proximal discontinuous Galerkin methods for variational inequalities
   A. Ern, B. Keith, D. Kim, R. Masri, B. Riviere
   Submitted, 2026
2. The proximal Galerkin method for non-symmetric variational inequalities
   G. Fu, B. Keith, D. Kim, R. Masri, W. Pazner
   Submitted, 2026
3. Analysis of a discontinuous Galerkin method for diffusion problems on intersecting domains
   M. Kuchta, R. Masri, B. Riviere
   Submitted, 2026
4. A priori error analysis of the proximal Galerkin method
   B. Keith, R. Masri, M. Zeinhofer
   Submitted, 2025

Publications

1. In-silico molecular enrichment and clearance of the human intracranial space
   M. Causemann, M. Kuchta, R. Masri, M.E. Rognes
   Nature Communications, 2026
2. A locally-conservative proximal Galerkin method for pointwise bound constraints
   G. Fu, B. Keith, R. Masri
   Mathematics of Computation, 2026
3. A discontinuous Galerkin method for the extracellular membrane intracellular model
   R. Masri, KLA. Kirk, E. Hauge, M. Kuchta
   IMA Journal of Numerical Analysis, 2026
4. 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
5. 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
6. Discontinuous Galerkin methods for 3D-1D systems
   R. Masri, M. Kuchta, B. Riviere
   SIAM Journal on Numerical Analysis, 2024
7. 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
8. 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
9. 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
10. 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
11. 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
12. 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
13. 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

Teaching Experience and Qualifications

• Instructor: Brown University
  Introduction to Scientific Computing, Fall 2025
• Co-instructor and Co-organizer: Simula Academy
  FAEFEM: Functional Analysis Essentials for the Finite Element Method, Simula Academy, March 2023
• Certificate in Teaching and Learning: Center for Teaching Excellence at Rice University, December 2021
• Teaching Assistant: Rice University
  CAAM 336, Differential equations in science and engineering
  Fall 2019 - Spring 2020

Theses

• Analysis of discontinuous Galerkin schemes for flow and transport problems
  R. Masri
  Thesis for the degree of Doctor of Philosophy, Rice University, 2022
• Derivation and numerical simulation of oxygen transport in blood vessels
  R. Masri
  Thesis for the degree of Master of Arts, Rice University, 2019