54 citations · 342 across the 40 of their papers we have counts for
42 papers
Discontinuous Galerkin Methods for Hypersonic Flows
Dominique S. Hoskin, R. Loek Van Heyningen, Ngoc Cuong Nguyen +3
In recent years, high-order discontinuous Galerkin (DG) methods have emerged as an attractive approach for numerical simulations of compressible flows. This paper presents an overv…
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…
A high-order discontinuous Galerkin approach for physics-based thermospheric modeling
Jordi Vila-Pérez, Ngoc Cuong Nguyen, Jaume Peraire
The accurate prediction of aerodynamic drag on satellites orbiting in the upper atmosphere is critical to the operational success of modern space technologies, such as satellite-ba…
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…
An adaptive viscosity regularization approach for the numerical solution of conservation laws: Application to finite element methods
Ngoc Cuong Nguyen, Jordi Vila-Perez, Jaime Peraire
We introduce an adaptive viscosity regularization approach for the numerical solution of systems of nonlinear conservation laws with shock waves. The approach seeks to solve a sequ…
Fast proper orthogonal descriptors for many-body interatomic potentials
Ngoc-Cuong Nguyen
The development of differentiable invariant descriptors for accurate representations of atomic environments plays a central role in the success of interatomic potentials for chemis…
Weak convergence of Monge-Ampère measures on compact Hermitian manifolds
Slawomir Kolodziej, Ngoc Cuong Nguyen
We give a sufficient condition on a sequence of uniformly bounded -plurisubharmonic functions, being a Hermitian metric, for which the sequence of associated Monge-Ampère me…
Proper Orthogonal Descriptors for Multi-element Chemical Systems
Ngoc-Cuong Nguyen
We introduce the proper orthogonal descriptors for efficient and accurate interatomic potentials of multi-element chemical systems. The potential energy surface of a multi-element…
Weak solutions to Monge-Ampère type equations on compact Hermitian manifold with boundary
Slawomir Kolodziej, Ngoc Cuong Nguyen
We prove the bounded subsolution theorem for the complex Monge-Ampère type equation, with the right hand side being a positive Radon measure, on a compact Hermitian manifold with b…
Proper Orthogonal Descriptors for Efficient and Accurate Interatomic Potentials
Ngoc Cuong Nguyen, Andrew Rohskopf
We present the proper orthogonal descriptors for efficient and accuracy representation of the potential energy surface. The potential energy surface is represented as a many-body e…
Exasim: Generating Discontinuous Galerkin Codes for Numerical Solutions of Partial Differential Equations on Graphics Processors
Jordi Vila-Pérez, R. Loek Van Heyningen, Ngoc-Cuong Nguyen +1
This paper presents an overview of the functionalities and applications of Exasim, an open-source code for generating high-order discontinuous Galerkin codes to numerically solve p…
The Dirichlet problem for the Monge-Ampère equation on Hermitian manifolds with boundary
Slawomir Kolodziej, Ngoc Cuong Nguyen
We study weak quasi-plurisubharmonic solutions to the Dirichlet problem for the complex Monge-Amère equation on a general Hermitian manifold with non-empty boundary. We prove optim…
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…
A nested hybridizable discontinuous Galerkin method for computing second-harmonic generation in three-dimensional metallic nanostructures
Ferran Vidal-Codina, Ngoc-Cuong Nguyen, Cristian Ciraci +2
In this paper, we develop a nested hybridizable discontinuous Galerkin (HDG) method to numerically solve the Maxwell's equations coupled with the hydrodynamic model for the conduct…
Continuous solutions to Monge-Ampère equations on Hermitian manifolds for measures dominated by capacity
Slawomir Kolodziej, Ngoc Cuong Nguyen
We prove the existence of a continuous quasi-plurisubharmonic solution to the Monge-Ampère equation on a compact Hermitian manifold for a very general measre on the right hand side…
Equidistribution of non-pluripolar products associated with quasi-plurisubharmonic functions of finite energy
Taeyong Ahn, Ngoc Cuong Nguyen
In this article, we consider currents given by the p-fold non-pluripolar product associated with a quasi-plurisubharmonic function of finite energy, and prove that normalized pull-…
On the ability of discontinuous Galerkin methods to simulate under-resolved turbulent flows
Pablo Fernandez, Ngoc-Cuong Nguyen, Jaime Peraire
We investigate the ability of discontinuous Galerkin (DG) methods to simulate under-resolved turbulent flows in large-eddy simulation. The role of the Riemann solver and the subgri…
A remark on the continuous subsolution problem for the complex Monge-Ampère equation
Slawomir Kolodziej, Ngoc Cuong Nguyen
We prove that if the modulus of continuity of a plurisubharmonic subsolution satisfies a Dini type condition then the Dirichlet problem for the complex Monge-Ampère equation has th…
Entropy-stable hybridized discontinuous Galerkin methods for the compressible Euler and Navier-Stokes equations
Pablo Fernandez, Ngoc-Cuong Nguyen, Jaime Peraire
In the spirit of making high-order discontinuous Galerkin (DG) methods more competitive, researchers have developed the hybridized DG methods, a class of discontinuous Galerkin met…
A physics-based shock capturing method for large-eddy simulation
Pablo Fernandez, Ngoc-Cuong Nguyen, Jaime Peraire
We present a shock capturing method for large-eddy simulation of turbulent flows. The proposed method relies on physical mechanisms to resolve and smooth sharp unresolved flow feat…
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…
On the Hölder continuous subsolution problem for the complex Monge-Ampère equation, II
Ngoc Cuong Nguyen
We solve the Dirichlet problem for the complex Monge-Ampère equation on a strictly pseudoconvex with the right hand side being a positive Borel measure which is dominated by the Mo…