Traian Iliescu

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A Multifidelity Ensemble Kalman Filter with Reduced Order Control Variates pdf

Andrey A Popov, Changhong Mou, Traian Iliescu, 2020, SIAM J. Sci. Comput..

A two-level finite element discretization of the streamfunction formulation of the stationary quasi-geostrophic equations of the ocean

Traian Iliescu, Erich L. Foster, David R. Wells, 2012, Comput. Math. Appl..

Reduced Order Models for the Quasi-Geostrophic Equations: A Brief Survey pdf

Changhong Mou, Traian Iliescu, David R. Wells, 2020, Fluids.

A numerical investigation of velocity-pressure reduced order models for incompressible flows

Traian Iliescu, Volker John, Alfonso Caiazzo, 2014, J. Comput. Phys..

Closure for Improved Reduced-order Models using High Performance Computing

Zhu Wang, Traian Iliescu, Imran Akhtar, 2010 .

Continuous data assimilation reduced order models of fluid flow

Traian Iliescu, Leo G. Rebholz, Camille Zerfas, 2019, Computer Methods in Applied Mechanics and Engineering.

An Artificial Compression Reduced Order Model

Traian Iliescu, Michael McLaughlin, Michael Schneier, 2019, SIAM J. Numer. Anal..

An Evolve-Filter-Relax Stabilized Reduced Order Stochastic Collocation Method for the Time-Dependent Navier-Stokes Equations

Traian Iliescu, Max D. Gunzburger, Michael Schneier, 2019, SIAM/ASA J. Uncertain. Quantification.

A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation

Traian Iliescu, Omer San, O. San, 2014, Adv. Comput. Math..

Data-driven correction reduced order models for the quasi-geostrophic equations: a numerical investigation

Changhong Mou, Traian Iliescu, Honghu Liu, 2019, International Journal of Computational Fluid Dynamics.

A Two-Level Discretization Method for the Smagorinsky Model

Traian Iliescu, Jeff Borggaard, John Paul Roop, 2008, Multiscale Model. Simul..

Numerical approximation of the Smagorinsky model by a two‐level method

Traian Iliescu, Jeff Borggaard, John Paul Roop, 2007 .

Approximate partitioned method of snapshots for POD

Zhu Wang, Traian Iliescu, Brian McBee, 2016, J. Comput. Appl. Math..

Artificial viscosity proper orthogonal decomposition

Zhu Wang, Traian Iliescu, Jeff Borggaard, 2011, Math. Comput. Model..

Closure Learning for Nonlinear Model Reduction Using Deep Residual Neural Network

Traian Iliescu, Xuping Xie, Clayton G. Webster, 2019, Fluids.

Reduced-Order Modeling for Optimization and Control of Complex Flows

Traian Iliescu, Jeff Borggaard, 2010 .

Horizontal Large Eddy Simulation of Stratified Mixing in a Lock-Exchange System

Traian Iliescu, Luigi C. Berselli, Paul F. Fischer, 2011, J. Sci. Comput..

A non-intrusive reduced order modeling framework for quasi-geostrophic turbulence

Traian Iliescu, Omer San, Adil Rasheed, 2019, Physical review. E.

On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition pdf

Traian Iliescu, Samuele Rubino, Michael Schneier, 2020, SIAM J. Numer. Anal..

Data-Driven Filtered Reduced Order Modeling of Fluid Flows

Traian Iliescu, Leo G. Rebholz, Muhammad Mohebujjaman, 2017, SIAM J. Sci. Comput..

Bridging the Boussinesq and primitive equations through spatio-temporal filtering

Traian Iliescu, Paul F. Fischer, Tamay M. Özgökmen, 2010, Appl. Math. Lett..

High Performance Parallel Algorithms for Improved Reduced-Order Modeling

Traian Iliescu, Jeff Borggaard, Serkan Gugercin, 2008 .

Approximate Deconvolution Reduced Order Modeling

Zhu Wang, Traian Iliescu, Xuping Xie, 2015, 1510.02726.

A Bounded Artificial Viscosity Large Eddy Simulation Model

Traian Iliescu, Jeff Borggaard, John Paul Roop, 2008, SIAM J. Numer. Anal..

Approximate deconvolution boundary conditions for large eddy simulation

Traian Iliescu, Jeff Borggaard, T. Iliescu, 2004, Appl. Math. Lett..

Variational multiscale proper orthogonal decomposition: Convection-dominated convection-diffusion-reaction equations

Zhu Wang, Traian Iliescu, T. Iliescu, 2013, Math. Comput..

Commutation error in reduced order modeling of fluid flows

Changhong Mou, Traian Iliescu, Muhammad Mohebujjaman, 2018, Advances in Computational Mathematics.

Two-level discretizations of nonlinear closure models for proper orthogonal decomposition

Zhu Wang, Traian Iliescu, Imran Akhtar, 2011, J. Comput. Phys..

Verification and Validation of LES Models

Traian Iliescu, Dominique Pelletier, Jeff Borggaard, 2004 .

A flow-aligning algorithm for convection-dominated problems

Traian Iliescu, T. Iliescu, 1999 .

Numerical analysis of the Leray reduced order model

Zhu Wang, Traian Iliescu, David R. Wells, 2017, J. Comput. Appl. Math..

Energy balance and mass conservation in reduced order models of fluid flows

Traian Iliescu, Leo G. Rebholz, Xuping Xie, 2017, J. Comput. Phys..

Are the Snapshot Difference Quotients Needed in the Proper Orthogonal Decomposition?

Zhu Wang, Traian Iliescu, T. Iliescu, 2013, SIAM J. Sci. Comput..

Data-Driven Variational Multiscale Reduced Order Models pdf

Changhong Mou, Traian Iliescu, Omer San, 2020, ArXiv.

Nonlinear proper orthogonal decomposition for convection-dominated flows pdf

Traian Iliescu, Omer San, Adil Rasheed, 2021, The Physics of Fluids.

Verifiability of the Data-Driven Variational Multiscale Reduced Order Model pdf

Changhong Mou, Traian Iliescu, Gianluigi Rozza, 2021, ArXiv.

A Numerical Investigation of the Lengthscale in the Mixing-Length Reduced Order Model of the Turbulent Channel Flow pdf

Elia Merzari, Changhong Mou, Traian Iliescu, 2021, ArXiv.

Consistency of the Full and Reduced Order Models for Evolve-Filter-Relax Regularization of Convection-Dominated, Marginally-Resolved Flows pdf

Traian Iliescu, Gianluigi Rozza, Michele Girfoglio, 2021, ArXiv.

Full and Reduced Order Model Consistency of the Nonlinearity Discretization in Incompressible Flows pdf

Traian Iliescu, Leo G. Rebholz, Sean Ingimarson, 2021, ArXiv.

Approximate deconvolution large eddy simulation of a barotropic ocean circulation model

Traian Iliescu, Omer San, Anne E. Staples, 2011, 1104.2730.

Submitted to: Journal of Physical Oceanography

Traian Iliescu, Jinqiao Duan, Paul Fischer, 2022 .

Large eddy simulation of stratified mixing in a three-dimensional lock-exchange system

Traian Iliescu, Paul Fischer, Tamay M. Özgökmen, 2009 .

Reynolds number dependence of mixing in a lock-exchange system from direct numerical and large eddy simulations

Traian Iliescu, Paul Fischer, Tamay M. Özgökmen, 2009 .

SUPG reduced order models for convection-dominated convection–diffusion–reaction equations

Traian Iliescu, Volker John, Swetlana Giere, 2014 .

Large eddy simulation for turbulent flows

Traian Iliescu, William Layton, T. Iliescu, 2000 .

B-spline based finite-element method for the stationary quasi-geostrophic equations of the ocean

Traian Iliescu, Tae-Yeon Kim, Eliot Fried, 2015 .

Lagrangian Data-Driven Reduced Order Modeling of Finite Time Lyapunov Exponents

Traian Iliescu, Xuping Xie, T. Iliescu, 2018, 1808.05635.

Variational multiscale proper orthogonal decomposition: Navier‐stokes equations

Traian Iliescu, Zhu Wang, T. Iliescu, 2012, 1210.7389.

Large eddy simulation of stratified mixing in two-dimensional dam-break problem in a rectangular enclosed domain

Traian Iliescu, Jinqiao Duan, Paul Fischer, 2007 .

Regularized Reduced Order Models

Traian Iliescu, Xuping Xie, David Wells, 2015 .

MATHEMATICAL ANALYSIS FOR THE RATIONAL LARGE EDDY SIMULATION MODEL

Traian Iliescu, Luigi C. Berselli, William Layton, 2002 .

A 3D flow-aligning algorithm for convection-diffusion problems

Traian Iliescu, 1999 .

Regularized Reduced Order Models for a Stochastic Burgers Equation

Traian Iliescu, Xuping Xie, Honghu Liu, 2017, 1701.01155.

Backscatter in the rational LES model

Traian Iliescu, Paul Fischer, P. Fischer, 2004 .

Horizontal Approximate Deconvolution for Stratified Flows: Analysis and Computations

Traian Iliescu, Luigi C. Berselli, Tamay M. Özgökmen, 2011 .

Two‐level discretization of the Navier‐Stokes equations with r‐Laplacian subgridscale viscosity

Traian Iliescu, Jeff Borggaard, John Paul Roop, 2012 .

Variational Multiscale Proper Orthogonal Decomposition

Traian Iliescu, Zhu Wang, T. Iliescu, 2012 .

An evolve‐then‐filter regularized reduced order model for convection‐dominated flows

Traian Iliescu, Xuping Xie, David Wells, 2015, 1506.07555.

Convergence of finite element approximations of large eddy motion

Traian Iliescu, Volker John, William Layton, 2002 .

A Leray regularized ensemble-proper orthogonal decomposition method for parameterized convection-dominated flows

Traian Iliescu, Max Gunzburger, Michael Schneier, 2017, IMA Journal of Numerical Analysis.

Proper orthogonal decomposition closure models for turbulent flows: A numerical comparison

Traian Iliescu, Imran Akhtar, Jeff Borggaard, 2011, 1106.3585.

A posteriori analysis of low-pass spatial filters for approximate deconvolution large eddy simulations of homogeneous incompressible flows

Traian Iliescu, Omer San, Anne E. Staples, 2014, 1401.6217.

A long short-term memory embedding for hybrid uplifted reduced order models

Traian Iliescu, Omer San, Adil Rasheed, 2019, Physica A: Statistical Mechanics and its Applications.

A New Closure Strategy for Proper Orthogonal Decomposition Reduced-Order Models

Traian Iliescu, Imran Akhtar, Jeff Borggaard, 2012 .

Proper orthogonal decomposition closure models for fluid flows: Burgers equation

Traian Iliescu, Omer San, O. San, 2013, 1308.3276.

Genuinely nonlinear models for convection-dominated problems

Traian Iliescu, T. Iliescu, 2004 .