113 citations · 408 across the 25 of their papers we have counts for
4 papers · 2 filters
Adaptive model reduction of high-order solutions of compressible flows via optimal transport
R. Loek Van Heyningen, Ngoc Cuong Nguyen, Patrick Blonigan +1
The solution of conservation laws with parametrized shock waves presents challenges for both high-order numerical methods and model reduction techniques. We introduce an r-adaptivi…
Optimal transport for mesh adaptivity and shock capturing of compressible flows
Ngoc Cuong Nguyen, R. Loek Van Heyningen, Jordi Vila-Perez +1
We present an optimal transport approach for mesh adaptivity and shock capturing of compressible flows. Shock capturing is based on a viscosity regularization of the governing equa…
Hybridizable discontinuous Galerkin methods for the Monge-Ampere equation
Ngoc Cuong Nguyen, Jaime Peraire
We introduce two hybridizable discontinuous Galerkin (HDG) methods for numerically solving the Monge-Ampere equation. The first HDG method is devised to solve the nonlinear ellipti…
Efficient and accurate nonlinear model reduction via first-order empirical interpolation
Ngoc Cuong Nguyen, Jaime Peraire
We present a model reduction approach that extends the original empirical interpolation method to enable accurate and efficient reduced basis approximation of parametrized nonlinea…