113 citations · 408 across the 25 of their papers we have counts for
10 papers · 1 filter
A Massively Parallel Hybridizable Discontinuous Galerkin Solver for Direct Numerical Simulation of Compressible Flows on GPUs
Andrew Welter, Thea Collin, Ngoc Cuong Nguyen +1
Direct numerical simulation (DNS) of compressible transitional and turbulent flows requires numerical methods that combine high-order accuracy, robustness, and computational effici…
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…
Hybridized discontinuous Galerkin methods for wave propagation
Pablo Fernandez, Alexandra Christophe, Sebastien Terrana +2
We present the recent development of hybridizable and embedded discontinuous Galerkin (DG) methods for wave propagation problems in fluids, solids, and electromagnetism. In each of…
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…
The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems
Jaume Peraire, Per-Olof Persson
We present a compact discontinuous Galerkin (CDG) method for an elliptic model problem. The problem is first cast as a system of first order equations by introducing the gradient o…