Nguyen, Ngoc Cuong; Peraire, Jaime Efficient and accurate nonlinear model reduction via first-order empirical interpolation. (English) Zbl 07766226 J. Comput. Phys. 494, Article ID 112512, 19 p. (2023). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{N. C. Nguyen} and \textit{J. Peraire}, J. Comput. Phys. 494, Article ID 112512, 19 p. (2023; Zbl 07766226) Full Text: DOI arXiv
Nguyen, Ngoc Cuong; Vila-Pérez, Jordi; Peraire, Jaime An adaptive viscosity regularization approach for the numerical solution of conservation laws: application to finite element methods. (English) Zbl 07766221 J. Comput. Phys. 494, Article ID 112507, 22 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{N. C. Nguyen} et al., J. Comput. Phys. 494, Article ID 112507, 22 p. (2023; Zbl 07766221) Full Text: DOI arXiv
Vidal-Codina, F.; Ciracì, C.; Nguyen, N.-C.; Oh, S.-H.; Peraire, J. Optical response of metallic nanostructures using quantum hydrodynamic theory and a hybridizable discontinuous Galerkin method. (English) Zbl 07705901 J. Comput. Phys. 489, Article ID 112260, 26 p. (2023). MSC: 65Mxx 78Mxx 65Nxx PDFBibTeX XMLCite \textit{F. Vidal-Codina} et al., J. Comput. Phys. 489, Article ID 112260, 26 p. (2023; Zbl 07705901) Full Text: DOI
Vidal-Codina, F.; Nguyen, N.-C.; Ciracì, C.; Oh, S.-H.; Peraire, J. A nested hybridizable discontinuous Galerkin method for computing second-harmonic generation in three-dimensional metallic nanostructures. (English) Zbl 07500736 J. Comput. Phys. 429, Article ID 110000, 22 p. (2021). MSC: 65Mxx 65Nxx 78Mxx PDFBibTeX XMLCite \textit{F. Vidal-Codina} et al., J. Comput. Phys. 429, Article ID 110000, 22 p. (2021; Zbl 07500736) Full Text: DOI
Vidal-Codina, F.; Nguyen, N. C.; Peraire, J. Computing parametrized solutions for plasmonic nanogap structures. (English) Zbl 1406.78027 J. Comput. Phys. 366, 89-106 (2018). MSC: 78M34 78M10 78A40 82D80 PDFBibTeX XMLCite \textit{F. Vidal-Codina} et al., J. Comput. Phys. 366, 89--106 (2018; Zbl 1406.78027) Full Text: DOI arXiv Link
Vidal-Codina, F.; Nguyen, N. C.; Oh, S.-H.; Peraire, J. A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures. (English) Zbl 1380.78012 J. Comput. Phys. 355, 548-565 (2018). MSC: 78M10 78A35 82D80 76N99 PDFBibTeX XMLCite \textit{F. Vidal-Codina} et al., J. Comput. Phys. 355, 548--565 (2018; Zbl 1380.78012) Full Text: DOI arXiv Link
Sánchez, M. A.; Ciuca, C.; Nguyen, N. C.; Peraire, J.; Cockburn, B. Symplectic Hamiltonian HDG methods for wave propagation phenomena. (English) Zbl 1380.65421 J. Comput. Phys. 350, 951-973 (2017). MSC: 65P10 65M60 PDFBibTeX XMLCite \textit{M. A. Sánchez} et al., J. Comput. Phys. 350, 951--973 (2017; Zbl 1380.65421) Full Text: DOI
Fernandez, P.; Nguyen, N. C.; Peraire, J. The hybridized discontinuous Galerkin method for implicit large-eddy simulation of transitional turbulent flows. (English) Zbl 1375.76069 J. Comput. Phys. 336, 308-329 (2017). MSC: 76F65 76M10 65M60 76N20 PDFBibTeX XMLCite \textit{P. Fernandez} et al., J. Comput. Phys. 336, 308--329 (2017; Zbl 1375.76069) Full Text: DOI Link
Nguyen, N. C.; Peraire, J. Gaussian functional regression for output prediction: model assimilation and experimental design. (English) Zbl 1351.62094 J. Comput. Phys. 309, 52-68 (2016). MSC: 62G08 62F15 62K05 PDFBibTeX XMLCite \textit{N. C. Nguyen} and \textit{J. Peraire}, J. Comput. Phys. 309, 52--68 (2016; Zbl 1351.62094) Full Text: DOI
Nguyen, N. C.; Peraire, J.; Cockburn, B. A class of embedded discontinuous Galerkin methods for computational fluid dynamics. (English) Zbl 1349.76245 J. Comput. Phys. 302, 674-692 (2015). MSC: 76M10 65M60 76N15 PDFBibTeX XMLCite \textit{N. C. Nguyen} et al., J. Comput. Phys. 302, 674--692 (2015; Zbl 1349.76245) Full Text: DOI
Vidal-Codina, F.; Nguyen, N. C.; Giles, M. B.; Peraire, J. A model and variance reduction method for computing statistical outputs of stochastic elliptic partial differential equations. (English) Zbl 1349.65635 J. Comput. Phys. 297, 700-720 (2015). MSC: 65N30 65N75 35J25 35R60 60H15 PDFBibTeX XMLCite \textit{F. Vidal-Codina} et al., J. Comput. Phys. 297, 700--720 (2015; Zbl 1349.65635) Full Text: DOI arXiv Link
Nguyen, N. C.; Peraire, J.; Reitich, F.; Cockburn, B. A phase-based hybridizable discontinuous Galerkin method for the numerical solution of the Helmholtz equation. (English) Zbl 1349.78071 J. Comput. Phys. 290, 318-335 (2015). MSC: 78M10 65N30 78M25 PDFBibTeX XMLCite \textit{N. C. Nguyen} et al., J. Comput. Phys. 290, 318--335 (2015; Zbl 1349.78071) Full Text: DOI
Nguyen, N. C.; Peraire, J. Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics. (English) Zbl 1277.65082 J. Comput. Phys. 231, No. 18, 5955-5988 (2012). MSC: 65M60 35Q30 76M10 74S05 74B99 PDFBibTeX XMLCite \textit{N. C. Nguyen} and \textit{J. Peraire}, J. Comput. Phys. 231, No. 18, 5955--5988 (2012; Zbl 1277.65082) Full Text: DOI
Nguyen, N. C.; Peraire, J.; Cockburn, B. Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell’s equations. (English) Zbl 1230.78031 J. Comput. Phys. 230, No. 19, 7151-7175 (2011). MSC: 78M10 35Q61 65N12 PDFBibTeX XMLCite \textit{N. C. Nguyen} et al., J. Comput. Phys. 230, No. 19, 7151--7175 (2011; Zbl 1230.78031) Full Text: DOI
Nguyen, N. C.; Peraire, J.; Cockburn, B. High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics. (English) Zbl 1364.76093 J. Comput. Phys. 230, No. 10, 3695-3718 (2011). MSC: 76M10 74S05 76Q05 74J05 65M60 PDFBibTeX XMLCite \textit{N. C. Nguyen} et al., J. Comput. Phys. 230, No. 10, 3695--3718 (2011; Zbl 1364.76093) Full Text: DOI
Nguyen, N. C.; Peraire, J.; Cockburn, B. An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations. (English) Zbl 1391.76353 J. Comput. Phys. 230, No. 4, 1147-1170 (2011). MSC: 76M10 76D05 65N30 35Q30 PDFBibTeX XMLCite \textit{N. C. Nguyen} et al., J. Comput. Phys. 230, No. 4, 1147--1170 (2011; Zbl 1391.76353) Full Text: DOI
Men, H.; Nguyen, N. C.; Freund, R. M.; Parrilo, P. A.; Peraire, J. Bandgap optimization of two-dimensional photonic crystals using semidefinite programming and subspace methods. (English) Zbl 1192.82104 J. Comput. Phys. 229, No. 10, 3706-3725 (2010). MSC: 82D80 82B20 82-08 65N25 65N30 90C22 PDFBibTeX XMLCite \textit{H. Men} et al., J. Comput. Phys. 229, No. 10, 3706--3725 (2010; Zbl 1192.82104) Full Text: DOI arXiv
Le, D. V.; White, J.; Peraire, J.; Lim, K. M.; Khoo, B. C. An implicit immersed boundary method for three-dimensional fluid-membrane interactions. (English) Zbl 1400.76024 J. Comput. Phys. 228, No. 22, 8427-8445 (2009). MSC: 76D05 65M06 76M25 PDFBibTeX XMLCite \textit{D. V. Le} et al., J. Comput. Phys. 228, No. 22, 8427--8445 (2009; Zbl 1400.76024) Full Text: DOI
Nguyen, N. C.; Peraire, J.; Cockburn, B. An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations. (English) Zbl 1177.65150 J. Comput. Phys. 228, No. 23, 8841-8855 (2009). MSC: 65M60 35K61 65N30 35J65 65M20 35Q53 PDFBibTeX XMLCite \textit{N. C. Nguyen} et al., J. Comput. Phys. 228, No. 23, 8841--8855 (2009; Zbl 1177.65150) Full Text: DOI
Nguyen, N. C.; Peraire, J.; Cockburn, B. An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations. (English) Zbl 1187.65110 J. Comput. Phys. 228, No. 9, 3232-3254 (2009). Reviewer: Ana M. Alonso Rodriguez (Povo) MSC: 65M60 65N30 65M06 65M12 PDFBibTeX XMLCite \textit{N. C. Nguyen} et al., J. Comput. Phys. 228, No. 9, 3232--3254 (2008; Zbl 1187.65110) Full Text: DOI
Le, D. V.; Khoo, B. C.; Peraire, J. An immersed interface method for viscous incompressible flows involving rigid and flexible boundaries. (English) Zbl 1158.74349 J. Comput. Phys. 220, No. 1, 109-138 (2006). MSC: 74F10 74S20 76M20 PDFBibTeX XMLCite \textit{D. V. Le} et al., J. Comput. Phys. 220, No. 1, 109--138 (2006; Zbl 1158.74349) Full Text: DOI
Machiels, L.; Peraire, J.; Patera, A. T. A posteriori finite-element output bounds for the incompressible Navier-Stokes equations: Application to a natural convection problem. (English) Zbl 1002.76069 J. Comput. Phys. 172, No. 2, 401-425 (2001). MSC: 76M10 76D05 76R10 80A20 65N15 PDFBibTeX XMLCite \textit{L. Machiels} et al., J. Comput. Phys. 172, No. 2, 401--425 (2001; Zbl 1002.76069) Full Text: DOI
Peraire, J.; Peiró, J.; Morgan, K. Adaptive remeshing for three-dimensional compressible flow computations. (English) Zbl 0764.76037 J. Comput. Phys. 103, No. 2, 269-285 (1992). MSC: 76M10 76N10 76J20 65M50 PDFBibTeX XMLCite \textit{J. Peraire} et al., J. Comput. Phys. 103, No. 2, 269--285 (1992; Zbl 0764.76037) Full Text: DOI
Peraire, J.; Vahdati, M.; Morgan, K.; Zienkiewicz, O. C. Adaptive remeshing for compressible flow computations. (English) Zbl 0631.76085 J. Comput. Phys. 72, 449-466 (1987). MSC: 76N10 76M99 PDFBibTeX XMLCite \textit{J. Peraire} et al., J. Comput. Phys. 72, 449--466 (1987; Zbl 0631.76085) Full Text: DOI