54 citations · 342 across the 40 of their papers we have counts for
10 papers · 1 filter
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…
A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: application to the hybridizable discontinuous Galerkin method
Nuria Pares, Ngoc-Cuong Nguyen, Pedro Diez +1
We present a general framework to compute upper and lower bounds for linear-functional outputs of the exact solutions of the Poisson equation based on reconstructions of the field…
Reduced-basis method for the iterative solution of parametrized symmetric positive-definite linear systems
Ngoc-Cuong Nguyen, Yanlai Chen
We present a class of reduced basis (RB) methods for the iterative solution of parametrized symmetric positive-definite (SPD) linear systems. The essential ingredients are a Galerk…
A multiscale continuous Galerkin method for stochastic simulation and robust design of photonic crystals
Ferran Vidal-Codina, Joel Saa-Seoane, Ngoc-Cuong Nguyen +1
We present a multiscale continuous Galerkin (MSCG) method for the fast and accurate stochastic simulation and optimization of time-harmonic wave propagation through photonic crysta…
A model and variance reduction method for computing statistical outputs of stochastic elliptic partial differential equations
Ferran Vidal-Codina, Ngoc-Cuong Nguyen, Mike B. Giles +1
We present a model and variance reduction method for the fast and reliable computation of statistical outputs of stochastic elliptic partial differential equations. Our method cons…
Spectral approximations by the HDG method
J. Gopalakrishnan, F. Li, N. -C. Nguyen +1
We consider the numerical approximation of the spectrum of a second-order elliptic eigenvalue problem by the hybridizable discontinuous Galerkin (HDG) method. We show for problems…
Reduced basis techniques for stochastic problems
Sébastien Boyaval, Claude Le Bris, Tony Lelièvre +3
We report here on the recent application of a now classical general reduction technique, the Reduced-Basis approach initiated in [C. Prud'homme, D. Rovas, K. Veroy, Y. Maday, A. T.…