Reduced order models of nonlinear conservation laws in fluid dynamics do not typically inherit stability properties of the full order model. We introduce projection-based hyper-reduced models of nonlinear conservation laws which are globally conservative and inherit a semi-discrete entropy inequality independently of the choice of basis and choice of parameters.
Entropy stable reduced order modeling of nonlinear conservation laws using discontinuous Galerkin methods
On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems II: Entropy Bounded Formulations for Nonlinear Conservation Laws
A scalable exponential-DG approach for nonlinear conservation laws: with application to Burger and Euler equations
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