1 citations · 2 across the 2 of their papers we have counts for
9 papers
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…
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-…
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…