3 papers
math.AP2023
The modelling error in multi-dimensional time-dependent solute transport models
Rami Masri, Marius Zeinhofer, Miroslav Kuchta +1
Starting from full-dimensional models of solute transport, we derive and analyze multi-dimensional models of time-dependent convection, diffusion, and exchange in and around pulsat…
math.NA2022
Discontinuous Galerkin Approximations to Elliptic and Parabolic Problems with a Dirac Line Source
Rami Masri, Boqian Shen, Beatrice Riviere
The analyses of interior penalty discontinuous Galerkin methods of any order k for solving elliptic and parabolic problems with Dirac line sources are presented. For the steady sta…
math.NA2021
Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations
Rami Masri, Chen Liu, Beatrice Riviere
The pressure correction scheme is combined with interior penalty discontinuous Galerkin method to solve the time-dependent Navier-Stokes equations. Optimal error estimates are deri…