Bound-preserving and entropy stable enriched Galerkin methods for
nonlinear hyperbolic equations
Bound-preserving and entropy stable enriched Galerkin methods for
nonlinear hyperbolic equations
In this paper, we develop monolithic limiting techniques for enforcing nonlinear stability constraints in enriched Galerkin (EG) discretizations of nonlinear scalar hyperbolic equations. To achieve local mass conservation and gain control over the cell averages, the space of continuous (multi-)linear finite element approximations is enriched with piecewise-constant functions. The resulting …