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math.NA2024
Unconditionally stable, linearised IMEX schemes for incompressible flows with variable density
Nicolás Espinoza-Contreras, Gabriel Barrenechea, Ernesto Castillo +1
For the incompressible Navier--Stokes system with variable density and viscosity, we propose and analyse an IMEX framework treating the convective and diffusive terms semi-implicit…
math.NA2024★ 1 cited
A nodally bound-preserving discontinuous Galerkin method for the drift-diffusion equation
Gabriel R. Barrenechea, Tristan Pryer, Alex Trenam
In this work, we introduce and analyse discontinuous Galerkin (dG) methods for the drift-diffusion model. We explore two dG formulations: a classical interior penalty approach and…