161 citations · 288 across the 26 of their papers we have counts for
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math.NA2022
Convergence of a Decoupled Splitting Scheme for the Cahn-Hilliard-Navier-Stokes System
Chen Liu, Rami Masri, Beatrice Riviere
This paper is devoted to the analysis of an energy-stable discontinuous Galerkin algorithm for solving the Cahn-Hilliard-Navier-Stokes equations within a decoupled splitting framew…
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.NA2022★ 9 cited
A Sequential Discontinuous Galerkin Method for Two-Phase Flow in Deformable Porous Media
Boqian Shen, Beatrice Riviere
We formulate a numerical method for solving the two-phase flow poroelasticity equations. The scheme employs the interior penalty discontinuous Galerkin method and a sequential time…