4 papers
A bound-preserving multinumerics scheme for steady-state convection-diffusion equations
Maurice S. Fabien
We solve the convection-diffusion equation using a coupling of cell-centered finite volume (FV) and discontinuous Galerkin (DG) methods. The domain is divided into disjoint regions…
A cell centered Galerkin method for miscible displacement in heterogeneous porous media
Maurice S. Fabien
In this paper we present a cell centered Galerkin (CCG) method applied to miscible displacement problems in heterogeneous porous media. The CCG approach combines concepts from fini…
A high-order augmented basis positivity-preserving discontinuous Galerkin method for a Linear Hyperbolic Equation
Maurice S. Fabien
This paper designs a high-order positivity-preserving discontinuous Galerkin (DG) scheme for a linear hyperbolic equation. The scheme relies on augmenting the standard polynomial D…
High order hybridizable discontinuous Galerkin method for three-phase flow in porous media
Maurice S. Fabien
We present a high-order hybridizable discontinuous Galerkin method for the numerical solution of time-dependent three-phase flow in heterogeneous porous media. The underlying algor…