Experience

• Postdoctoral Fellow, Department of Numerical Analysis and Scientific Computing, Simula Research Laboratory, June 2022 - Present

Education

• Ph.D., Computational and Applied Mathematics, Rice University, May 2022
• M.A., Computational and Applied Mathematics, Rice University, May 2019
• B.S., Mathematics, Lebanese American University, May 2017

Research Interests

• Mathematical modeling with applications to the life sciences: Coupled multi-dimensional models for networks embedded in domains
• Analysis of numerical methods for various PDES: Discontinuous Galerkin methods applied to the incompressible Navier-Stokes equations, Cahn–Hilliard–Navier–Stokes system, and elliptic problems with a Dirac line source; Neural network approximations

Preprints

1. Discontinuous Galerkin methods for 3D-1D systems
   R. Masri, M. Kuchta, B. Riviere
   Submitted, 2023
2. A unified framework for the error analysis of physics-informed neural networks
   M. Zeinhofer, R. Masri, K. A. Mardal
   Submitted, 2023
3. The modelling error in multi-dimensional time-dependent solute transport models
   R. Masri, M. Zeinhofer, M. Kuchta, M. E. Rognes
   Submitted, 2023

Publications

1. 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
2. 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
3. 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
4. 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
5. 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
6. 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
7. 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

• Co-instructor and Co-organizer: 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: CAAM 336, Differential equations in science and engineering, Fall 2019 - Spring 2020
• Grader: CAAM 336, Fall 2017 - Spring 2018, Fall 2020 - Spring 2021 and CAAM 453, Numerical Analysis I, Fall 2018

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