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cs.CE2025
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…
cs.CE2025
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…