Publications

(2022). Symplectic Hamiltonian finite element methods for electromagnetics. Computer Methods in Applied Mechanics and Engineering 396, 114969.

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(2022). Multiscale Modeling of Streamers: High-Fidelity Versus Computationally Efficient Methods. AIAA SCITECH 2022 Forum, 2124.

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(2022). Large-Eddy Simulation of Transonic Buffet Using Matrix-Free Discontinuous Galerkin Method. AIAA Journal 60(5), 3060-3077.

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(2022). Implicit Large eddy simulation of hypersonic boundary-layer transition for a flared cone. AIAA Scitech 2023 Forum.

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(2022). A dissimilar non-matching HDG discretization for Stokes flows. Computer Methods in Applied Mechanics and Engineering 399, 115292.

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(2021). Symplectic Hamiltonian finite element methods for linear elastodynamics. Computer Methods in Applied Mechanics and Engineering 381, 113843.

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(2021). An HDG method for dissimilar meshes. IMA Journal of Numerical Analysis 42(2), 1665-1699.

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(2021). A nested hybridizable discontinuous Galerkin method for computing second-harmonic generation in three-dimensional metallic nanostructures. Journal of Computational Physics 429, 110000.

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(2020). Terahertz and infrared nonlocality and field saturation in extreme-scale nanoslits. Opt. Express 28(6), 8701-8715.

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(2020). Implicit hybridized discontinuous Galerkin methods for compressible magnetohydrodynamics. Journal of Computational Physics X 5, 100042.

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(2020). GPU-accelerated Large Eddy Simulation of Hypersonic Flows. AIAA Scitech 2020 Forum, 1062.

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(2020). Corona Discharge in Wind for Electrically Isolated Electrodes. Journal of Geophysical Research Atmospheres 125(16), e2020JD032908.

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(2020). Controlled Electric Charging of an Aircraft in Flight using Corona Discharge. AIAA Scitech 2020 Forum, 1887.

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(2020). Aircraft Charging and its Influence on Triggered Lightning. Journal of Geophysical Research Atmospheres 125(1), e2019JD031245.

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(2019). Modeling and observation of mid-infrared nonlocality in effective epsilon-near-zero ultranarrow coaxial apertures. Nature Communications 10(1), 4476.

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(2019). A multiscale continuous Galerkin method for stochastic simulation and robust design of photonic crystals. Journal of Computational Physics X 2, 100016.

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(2019). A hybridizable discontinuous Galerkin method for both thin and 3D nonlinear elastic structures. Computer Methods in Applied Mechanics and Engineering 352, 561-585.

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(2018). Hybridized discontinuous Galerkin methods for wave propagation. Journal of Scientific Computing 77(3), 1566-1604.

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(2018). Computing parametrized solutions for plasmonic nanogap structures. Journal of Computational Physics 366, 89-106.

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(2018). Charge Control Strategy for Aircraft-Triggered Lightning Strike Risk Reduction. AIAA Journal 56(5), 1988-2002.

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(2018). Accelerated Residual Methods for the Iterative Solution of Systems of Equations. SIAM Journal on Scientific Computing 40(5), A3157-A3179.

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(2018). A physics-based shock capturing method for unsteady laminar and turbulent flows. 2018 AIAA Aerospace Sciences Meeting, 0062.

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(2018). A physics-based shock capturing method for large-eddy simulation. arXiv, 2018.

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(2018). A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures. Journal of Computational Physics 355, 548-565.

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(2018). High-Contrast Infrared Absorption Spectroscopy via Mass-Produced Coaxial Zero-Mode Resonators with Sub-10 nm Gaps. Nano Letters 18(3), 1930-1936.

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(2017). The hybridized discontinuous Galerkin method for implicit large-eddy simulation of transitional turbulent flows. Journal of Computational Physics 336, 308-329.

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(2017). Symplectic Hamiltonian HDG methods for wave propagation phenomena. Journal of Computational Physics 350, 951-973.

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(2017). Subgrid-scale modeling and implicit numerical dissipation in DG-based Large-Eddy Simulation. 23rd AIAA Computational Fluid Dynamics Conference, 3951.

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(2017). Mesh Topology Preserving Boundary-Layer Adaptivity Method for Steady Viscous Flows. AIAA Journal 55(6), 1970-1985.

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(2017). Computational study of glow corona discharge in wind: Biased conductor. Journal of Electrostatics 89, 1-12.

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(2016). Implicit large-eddy simulation of compressible flows using the Interior Embedded Discontinuous Galerkin method. 54th AIAA Aerospace Sciences Meeting, 1332.

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(2016). High-throughput fabrication of resonant metamaterials with ultrasmall coaxial apertures via atomic layer lithography. Nano letters 16(3), 2040-2046.

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(2016). HDG Methods for Hyperbolic Problems. Handbook of Numerical Methods for Hyperbolic Problems 17, 173-197.

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(2016). Gaussian functional regression for output prediction: Model assimilation and experimental design. Journal of Computational Physics 309, 52-68.

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(2016). Functional Regression for State Prediction Using Linear PDE Models and Observations. SIAM Journal on Scientific Computing 38(2), B247-B271.

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(2016). Dilation-based shock capturing for high-order methods. International Journal for Numerical Methods in Fluids 82(7), 398-416.

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(2016). Arc reattachment driven by a turbulent boundary layer: implications for the sweeping of lightning arcs along aircraft. Journal of Physics D Applied Physics 49(37), 375204.

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(2016). An explicit hybridizable discontinuous Galerkin method for the acoustic wave equation. Computer Methods in Applied Mechanics and Engineering 300, 748-769.

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(2016). An Empirical Interpolation and Model-Variance Reduction Method for Computing Statistical Outputs of Parametrized Stochastic Partial Differential Equations. SIAM/ASA Journal on Uncertainty Quantification 4(1), 244-265.

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(2015). Spectral approximations by the HDG method. Mathematics of Computation 84(293), 1037-1059.

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(2015). Nanogap-enhanced terahertz sensing of 1 nm thick lambda/106 dielectric films. Acs Photonics 2(3), 417-424.

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(2015). Gaussian functional regression for linear partial differential equations. Computer Methods in Applied Mechanics and Engineering 287, 69-89.

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(2015). A phase-based hybridizable discontinuous Galerkin method for the numerical solution of the Helmholtz equation. Journal of Computational Physics 290, 318-335.

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(2015). A model and variance reduction method for computing statistical outputs of stochastic elliptic partial differential equations. Journal of Computational Physics 297, 700-720.

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(2015). A class of embedded discontinuous Galerkin methods for computational fluid dynamics. Journal of Computational Physics 302, 674-692.

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(2014). Fabrication-Adaptive Optimization with an Application to Photonic Crystal Design. Operations Research 62(2), 418-434.

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(2013). Scalable parallelization of the hybridized discontinuous Galerkin method for compressible flow. 21st AIAA Computational Fluid Dynamics Conference, 2939.

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(2013). Rapid identification of material properties of the interface tissue in dental implant systems using reduced basis method. Inverse Problems in Science and Engineering 21(8), 1310-1334.

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(2013). Analysis of HDG methods for Oseen equations. Journal of Scientific Computing 55(2), 392-431.

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(2013). Advances in the development of a High Order, Viscous-Inviscid Interaction Solver. 21st AIAA Computational Fluid Dynamics Conference, 2943.

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(2013). A Time-Spectral Hybridizable Discontinuous Galerkin Method for Periodic Flow Problems. 21st AIAA Computational Fluid Dynamics Conference, 2861.

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(2013). A Hybridized Multiscale Discontinuous Galerkin Method for Compressible Flows. 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, 689.

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(2013). A High-Order Self-Adaptive Monolithic Solver for Viscous-Inviscid Interacting Flows. 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, 857.

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(2013). A high-order hybridizable discontinuous Galerkin method for elliptic interface problems. International Journal for Numerical Methods in Engineering 93(2), 183-200.

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(2012). Binary optimization techniques for linear PDE-governed material design. Appl. Phys. A - Mater. Sci. Process. 109(4), 1023-1030.

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(2012). A hybridized discontinuous Petrov-Galerkin scheme for scalar conservation laws. International Journal for Numerical Methods in Engineering 91(9), 950-970.

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(2012). Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics. Journal of Computational Physics 231(18), 5955-5988.

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(2011). Reduced basis approximation and a posteriori error estimation for the parametrized unsteady Boussinesq equations. Mathematical Models and Methods in Applied Sciences 21(07), 1415-1442.

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(2011). Navier-Stokes solution using hybridizable discontinuous Galerkin methods. 20th AIAA computational fluid dynamics conference, 3407.

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(2011). Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwells equations. Journal of Computational Physics 230(19), 7151-7175.

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(2011). Hybridizable discontinuous Galerkin methods. Spectral and High Order Methods for Partial Differential Equations, 63-84. Springer.

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(2011). High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics. Journal of Computational Physics 230(10), 3695-3718.

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(2011). GPU-accelerated sparse matrix-vector product for a hybridizable discontinuous Galerkin method. 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition , 687.

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(2011). Design of photonic crystals with multiple and combined band gaps. Physical Review E 83(4), 046703.

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(2011). An embedded discontinuous Galerkin method for the compressible Euler and Navier-Stokes equations. 20th AIAA Computational Fluid Dynamics Conference, 3228.

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(2011). An adaptive shock-capturing HDG method for compressible flows. 20th AIAA Computational Fluid Dynamics Conference, 3060.

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(2011). A Hybridized Discontinuous Petrov-Galerkin Method for Compresible Flows. 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, 197.

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(2011). Analysis of HDG methods for Stokes flow. Mathematics of Computation 80 (274), 723-760.

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(2011). An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations. Journal of Computational Physics 230 (4), 1147-1170.

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(2010). Reduced Basis Techniques for Stochastic Problems. Archives of Computational methods in Engineering 17 (4), 435-454.

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(2010). Reduced Basis Approximation and a Posteriori Error Estimation for Parametrized Parabolic PDEs: Application to Real-Time Bayesian Parameter Estimation. Large-Scale Inverse Problems and Quantification of Uncertainty, 151-177.

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(2010). Hybridization and Postprocessing Techniques for Mixed Eigenfunctions. SIAM Journal on Numerical Analysis 48(3), 857-881.

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(2010). Bandgap optimization of two-dimensional photonic crystals using semidefinite programming and subspace methods. Journal of Computational Physics 229(10), 3706-3725.

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(2010). A hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations. 48th AIAA Aerospace Sciences meeting including the new horizons forum and aerospace exposition, 362.

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(2010). A hybridizable discontinuous Galerkin method for the compressible Euler and Navier-Stokes equations. 48th AIAA aerospace sciences meeting including the new horizons forum and aerospace exposition, 363.

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(2010). A comparison of HDG methods for Stokes flow. Journal of Scientific Computing 45(1), 215-237.

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(2010). A hybridizable discontinuous Galerkin method for Stokes flow. Computer Methods in Applied Mechanics and Engineering 199 (9-12), 582-597.

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(2009). An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations. Journal of Computational Physics 228 (23), 8841-8855.

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(2009). Reduced Basis Methods and a Posteriori Error Estimators for Heat Transfer Problems. Heat Transfer Summer Conference, 753-762.

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(2009). Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers equation. Calcolo 46 (3), 157-185.

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(2009). Real-Time Reliable Simulation of Heat Transfer Phenomena. Heat Transfer Summer Conference, 851-860. ASME.

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(2009). A reduced basis approach for variational problems with stochastic parameters: Application to heat conduction with variable Robin coefficient. Computer Methods in Applied Mechanics and Engineering 198(41-44), 3187-3206.

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(2009). An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations. Journal of Computational Physics 228 (9), 3232-3254.

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(2009). A general multipurpose interpolation procedure: the magic points. Communications on Pure & Applied Analysis 8 (1), 383.

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(2008). An efficient reduced-order modeling approach for non-linear parametrized partial differential equations. International Journal for Numerical Methods in Engineering 76(1), 27-55.

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(2008). A best points interpolation method for efficient approximation of parametrized functions. International journal for numerical methods in engineering 73 (4), 521-543.

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(2007). RANS solutions using high order discontinuous Galerkin methods. 45th AIAA Aerospace Sciences Meeting and Exhibit, 914.

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(2007). Feasibility and competitiveness of a reduced basis approach for rapid electronic structure calculations in quantum chemistry. Proceedings of the workshop for high-dimensional partial differential equations in science and engineering (Montreal), 15-57.

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(2007). Certified Rapid Solution of Partial Differential Equations for Real-Time Parameter Estimation and Optimization. Real-Time PDE-Constrained Optimization, 199-216, SIAM.

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(2007). Certified rapid solution of partial differential equations for real-time parameter estimation and optimization. Real-time PDE-constrained optimization, 199-216. SIAM.

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(2007). Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations. Mathematical Modelling and Numerical Analysis 41 (3), 575-605.

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(2006). A Note on Tikhonov Regularization of Linear Ill-Posed Problems. Massachusetts Institute of Technology, 1-4.

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(2006). ?Natural norm? a posteriori error estimators for reduced basis approximations. Journal of Computational Physics 217(1), 37-62.

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(2005). Turbulence modeling. Department of Aeronautics and Astronautics, MIT, 1-6.

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(2005). Certified real-time solution of parametrized partial differential equations. Handbook of materials modeling, 1529-1564.

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(2004). An empirical interpolation method: application to efficient reduced-basis discretization of partial differential equations. Comptes Rendus Mathematique 339 (9), 667-672.

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