2 papers
math.NA2026
On the choice of viscous discontinuous Galerkin discretization for entropy correction artificial viscosity methods
Samuel Q. Van Fleet, Jesse Chan
Entropy correction artificial viscosity (ECAV) is an approach for enforcing a semi-discrete entropy inequality through an entropy dissipative correction term. The resulting method…
math.NA2024
Fully discrete energy-dissipative and conservative discrete gradient particle methods for a class of continuity equations
Jingwei Hu, Samuel Q. Van Fleet, Andy T. S. Wan
Structure-preserving particle methods have recently been proposed for a class of nonlinear continuity equations, including aggregation-diffusion equation in [J. Carrillo, K. Craig,…