George Em Karniadakis | Scholar Profiles and Rankings

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NIH/NSF


Learning functional priors and posteriors from data and physics (journal article) Meng, Xuhui \| Yang, Liu \| Mao, Zhiping \| del Águila Ferrandis, José \| Karniadakis, George Em Journal of Computational Physics, volume 457 (2022). 10.1016/j.jcp.2022.111073 Cited by (6) \| Cite \| Source
Deep learning of inverse water waves problems using multi-fidelity data: Application to Serre–Green–Naghdi equations (journal article) Jagtap, Ameya D. \| Mitsotakis, Dimitrios \| Karniadakis, George Em Ocean Engineering, volume 248 (2022). 10.1016/j.oceaneng.2022.110775 Cited by (8) \| Cite \| Source
A physics-informed variational DeepONet for predicting crack path in quasi-brittle materials (journal article) Goswami, Somdatta \| Yin, Minglang \| Yu, Yue \| Karniadakis, George Em Computer Methods in Applied Mechanics and Engineering, volume 391 (2022). 10.1016/j.cma.2022.114587 Cited by (28) \| Cite \| Source
Analyses of internal structures and defects in materials using physics-informed neural networks (journal article) Zhang, Enrui \| Dao, Ming \| Karniadakis, George Em \| Suresh, Subra Science Advances, volume 8, issue 7 (2022). 10.1126/sciadv.abk0644 Cited by (15) \| Cite \| Source
Simulating progressive intramural damage leading to aortic dissection using DeepONet: an operator–regression neural network (journal article) Yin, Minglang \| Ban, Ehsan \| Rego, Bruno V. \| Zhang, Enrui \| Cavinato, Cristina \| Humphrey, Jay D. \| Em Karniadakis, George Journal of The Royal Society Interface, volume 19, issue 187 (2022). 10.1098/rsif.2021.0670 Cited by (11) \| Cite \| Source
Generative Ensemble Regression: Learning Particle Dynamics from Observations of Ensembles with Physics-informed Deep Generative Models (journal article) Yang, Liu \| Daskalakis, Constantinos \| Karniadakis, George E. SIAM Journal on Scientific Computing, volume 44, issue 1, pages B80-B99 (2022). 10.1137/21M1413018 Cited by (3) \| Cite \| Source
Potential Flow Generator With L2 Optimal Transport Regularity for Generative Models (journal article) Yang, Liu \| Karniadakis, George Em IEEE Transactions on Neural Networks and Learning Systems, volume 33, issue 2, pages 528-538 (2022). 10.1109/TNNLS.2020.3028042 Cited by (5) \| Cite \| Source
Computational investigation of blood cell transport in retinal microaneurysms (journal article) Li, He \| Deng, Yixiang \| Sampani, Konstantina \| Cai, Shengze \| Li, Zhen \| Sun, Jennifer K. \| Karniadakis, George E. PLOS Computational Biology, volume 18, issue 1, pages e1009728- (2022). 10.1371/journal.pcbi.1009728 Cited by (6) \| Cite \| Source
A Physics-Informed Neural Network for Quantifying the Microstructural Properties of Polycrystalline Nickel Using Ultrasound Data: A promising approach for solving inverse problems (journal article) Shukla, Khemraj \| Jagtap, Ameya D. \| Blackshire, James L. \| Sparkman, Daniel \| Em Karniadakis, George IEEE Signal Processing Magazine, volume 39, issue 1, pages 68-77 (2022). 10.1109/MSP.2021.3118904 Cited by (11) \| Cite \| Source
Learning Poisson Systems and Trajectories of Autonomous Systems via Poisson Neural Networks (journal article) Jin, Pengzhan \| Zhang, Zhen \| Kevrekidis, Ioannis G. \| Karniadakis, George Em IEEE Transactions on Neural Networks and Learning Systems (2022). 10.1109/TNNLS.2022.3148734 Cited by (1) \| Cite \| Source
Forecasting solar-thermal systems performance under transient operation using a data-driven machine learning approach based on the deep operator network architecture (journal article) Osorio, Julian D. \| Wang, Zhicheng \| Karniadakis, George \| Cai, Shengze \| Chryssostomidis, Chrys \| Panwar, Mayank \| Hovsapian, Rob Energy Conversion and Management, volume 252 (2022). 10.1016/j.enconman.2021.115063 Cited by (9) \| Cite \| Source
Deep Kronecker neural networks: A general framework for neural networks with adaptive activation functions (journal article) Jagtap, Ameya D. \| Shin, Yeonjong \| Kawaguchi, Kenji \| Karniadakis, George Em Neurocomputing, volume 468 (2022). 10.1016/j.neucom.2021.10.036 Cited by (24) \| Cite \| Source
A seamless multiscale operator neural network for inferring bubble dynamics (journal article) Lin, Chensen \| Maxey, Martin \| Li, Zhen \| Karniadakis, George Em Journal of Fluid Mechanics, volume 929 (2021). 10.1017/jfm.2021.866 Cited by (16) \| Cite \| Source
nn-PINNs: Non-Newtonian physics-informed neural networks for complex fluid modeling (journal article) Mahmoudabadbozchelou, Mohammadamin \| Karniadakis, George Em. \| Jamali, Safa Soft Matter, volume 18, issue 1, pages 172-185 (2021). 10.1039/D1SM01298C Cited by (5) \| Cite \| Source
Physics-informed neural networks (PINNs) for fluid mechanics: a review (journal article) Cai, Shengze \| Mao, Zhiping \| Wang, Zhicheng \| Yin, Minglang \| Karniadakis, George Em Acta Mechanica Sinica, volume 37, issue 12, pages 1727-1738 (2021). 10.1007/s10409-021-01148-1 Cited by (53) \| Cite \| Source
A fast multi-fidelity method with uncertainty quantification for complex data correlations: Application to vortex-induced vibrations of marine risers (journal article) Meng, Xuhui \| Wang, Zhicheng \| Fan, Dixia \| Triantafyllou, Michael S. \| Karniadakis, George Em Computer Methods in Applied Mechanics and Engineering, volume 386 (2021). 10.1016/j.cma.2021.114212 Cited by (4) \| Cite \| Source
DeepM&Mnet for hypersonics: Predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators (journal article) Mao, Zhiping \| Lu, Lu \| Marxen, Olaf \| Zaki, Tamer A. \| Karniadakis, George Em Journal of Computational Physics, volume 447 (2021). 10.1016/j.jcp.2021.110698 Cited by (20) \| Cite \| Source
Parallel physics-informed neural networks via domain decomposition (journal article) Shukla, Khemraj \| Jagtap, Ameya D. \| Karniadakis, George Em Journal of Computational Physics, volume 447 (2021). 10.1016/j.jcp.2021.110683 Cited by (37) \| Cite \| Source
Physics-informed neural networks for solving forward and inverse flow problems via the Boltzmann-BGK formulation (journal article) Lou, Qin \| Meng, Xuhui \| Karniadakis, George Em Journal of Computational Physics, volume 447 (2021). 10.1016/j.jcp.2021.110676 Cited by (20) \| Cite \| Source
Computational modeling of biomechanics and biorheology of heated red blood cells (journal article) Liu, Zixiang Leonardo \| Li, He \| Qiang, Yuhao \| Buffet, Pierre \| Dao, Ming \| Karniadakis, George Em Biophysical Journal, volume 120, issue 21, pages 4663-4671 (2021). 10.1016/j.bpj.2021.09.038 Cited by (7) \| Cite \| Source

Title	Investigators	Year	Expiration	Amount
Planning Grant: Engineering Research Center for Digital Twins in Engineering and Medicine	Farhat, Charbel \| Lew, Adrian \| Karniadakis, George \| Bass, Barbara	09-01-2019	08-31-2021	$100,000
MANNA 2017: Modeling, Analysis, and Numerics for Nonlocal Applications	Karniadakis, George	12-01-2017	11-30-2018	$15,000
Collaborative Research: AMPS: Multi-Fidelity Modeling via Machine Learning for Real-time Prediction of Power System Behavior	Karniadakis, George	08-15-2017	07-31-2021	$130,000
New evolution equations of the joint response-excitation PDF for stochastic modeling: Theory and numerical methods	Karniadakis, George	09-01-2012	08-31-2016	$350,590
Multiscale Modeling of Flow over Functionalized Surfaces: Algorithms and Applications	Caswell, Bruce \| Karniadakis, George	09-15-2009	08-31-2013	$356,671
Multiscale Models and Petaflops Simulations on the Human Brain Vascular Network	Caswell, Bruce \| Karniadakis, George	10-01-2008	09-30-2010	$149,999
International Conference on Spectral and High-Order Methods 2009 - ICOSAHOM'09; June 2009, Trondheim, Norway	Gottlieb, David \| Karniadakis, George \| Hesthaven, Jan	09-01-2008	08-31-2009	$15,000
UBM-Group: Undergraduate Training and Research in Applied Mathematics and Biological Sciences	Lawrence, Charles \| Karniadakis, George \| Tang, Jay \| Maxey, Martin \| Richardson, Peter	10-01-2007	09-30-2011	$235,000
CI-TEAM Implementation Project: Collaborative Research: Training Simulation Scientists in Advanced Cyberinfrastructure Tools and Concepts	Laidlaw, David \| Karniadakis, George \| Richardson, Peter	10-01-2006	03-31-2010	$384,415
DDDAS-Collaborative Proposal: Multiscale Data-Driven POD-Based Prediction of the Ocean	Chryssostomidis, Chryssostomos \| Karniadakis, George	10-01-2005	09-30-2006	$75,001
A Stochastic Molecular Dynamics Method for Multiscale Modeling of Blood Platlet Pheonmena	Karniadakis, George \| Maxey, Martin \| Richardson, Peter	09-15-2005	08-31-2009	$869,766
AMC-SS: A Multi-Element Generalized Polynomial Chaos Method for Modeling Uncertainty in Flow Simulations	Karniadakis, George	09-01-2005	02-28-2010	$311,795
ITR: (ASE)-(sim+dmc+int): Computational Simulation, Modeling, and Visualization for Understanding Unsteady Bioflows	Laidlaw, David \| Karniadakis, George \| Richardson, Peter \| Swartz, Sharon	10-01-2004	09-30-2009	$662,000
Scientific Computing Research Environments for the Mathematical Sciences (SCREMS): Enrichment and Integration of Networked Computing Resources for the Mathematical Sciences	Shu, Chi-Wang \| McClure, Donald \| Karniadakis, George \| Hesthaven, Jan \| Geman, Stuart	09-01-2004	08-31-2006	$92,956
Simulation of Magnetorheological Fluids: Microdevices and Self-Assembled Structures	Karniadakis, George \| Maxey, Martin	01-01-2004	12-31-2007	$307,968
Collaborative Research: Stochastic Models for Convective Heat Transfer: Algorithms and Experimental Validation	Karniadakis, George	09-15-2003	08-31-2007	$220,302
International Conference on Spectral and High-Order Methods 2004 - ICOSAHOM'04	Shu, Chi-Wang \| Gottlieb, David \| Karniadakis, George \| Hesthaven, Jan	08-15-2003	07-31-2005	$15,000
ITR: DDDAS Generalized Polynomial Chaos: Parallel Algorithms for Modeling and Propagating Uncertainty in Physical and Biological Systems	Karniadakis, George	09-01-2002	08-31-2006	$422,040
ITR: Visualization of Multi-valued Scientific Data: Applying Ideas from Art and Perceptual Psychology	Laidlaw, David \| Karniadakis, George \| Tarr, Michael	09-01-2000	08-31-2005	$2,302,599
Low-Dimensional Models for Turbulent Heat Transfer in Flexible Cylinder Arrays	Karniadakis, George	09-15-1999	02-28-2002	$90,000
An International Symposium on Discontinuous Galerkin Methods: Theory, Computation and Applications	Shu, Chi-Wang \| Karniadakis, George	09-01-1998	08-31-2000	$14,765
A New Model for Turbulence Based on the Hydrodynamics-Electromagnetism Analogy	Karniadakis, George \| Maxey, Martin	09-15-1997	07-31-1999	$60,000
Major Research Instrumentation: Acquisition of a CAVE and Shared-Memory Supercomputer	Gottlieb, David \| Forsyth, Donald \| Karniadakis, George \| Anderson, James \| Doll, Jimmie	09-01-1997	08-31-2000	$1,000,000
Mathematical Sciences Computing Research Environments	Jones, Christopher \| Gottlieb, David \| McClure, Donald \| Karniadakis, George \| Maxey, Martin	08-15-1996	07-31-1997	$40,000
Three Dimensional Modelling of Unsteady Heat Transfer	Karniadakis, George	02-15-1995	01-31-1999	$304,609
Acquisition of a Parallel Supercomputer	Gottlieb, David \| McClure, Donald \| Karniadakis, George \| Maxey, Martin \| Ortiz, Michael	10-01-1994	09-30-1996	$300,000
Integrating High Performance Computing into Research: Computational Fluid Dynamics in Engineering and Astrophysics	Jameson, Antony \| Bracco, Frediano \| Brown, Garry \| Karniadakis, George \| Ostriker, Jeremiah	08-01-1994	07-31-2001	$557,500
Computational Modeling of Transport Phenomena and Electro- mechanical Dynamics in Microscales	Karniadakis, George	02-01-1994	06-30-1995	$208,761
Computational Modeling of Transport Phenomena and Electro- mechanical Dynamics in Microscales	Cho, Dongil \| Karniadakis, George	07-15-1991	03-17-1994	$457,944
Simulations of Systems with Spatio-Temporal Structure: A Model Reduction Approach for Complex Geometrics	Karniadakis, George \| Kevrekidis, Yannis	07-01-1991	12-31-1994	$267,353
Numerical Computation of Drag Reduction in Turbulent Flow Over Rough Walls	Karniadakis, George \| Orszag, Steven	01-01-1990	12-31-1993	$396,941
Augmentation of Transitional and Turbulent Heat Transfer by Eddy-Promoters in Wall-Bounded Flows	Smits, Alexander \| Karniadakis, George	08-01-1989	07-31-1991	$105,000
Engineering Research Equipment Grant: Acquisition of High- Performance Workstation	Karniadakis, George	06-01-1989	11-30-1990	$49,600

Title	Investigators	Year	Cost	Agency
Multimodality imaging-driven multifidelity modeling of aortic dissection	Humphrey, JAY D. \| Karniadakis, George	2020	$601,275	NATIONAL HEART, LUNG, AND BLOOD INSTITUTE
Multifidelity and multiscale modeling of the spleen function in sickle cell disease with in vitro, ex vivo and in vivo validations	Buffet, Pierre \| DAO, Ming \| Karniadakis, George	2020	$705,243	NATIONAL HEART, LUNG, AND BLOOD INSTITUTE
Multimodality imaging-driven multifidelity modeling of aortic dissection	Humphrey, JAY D. \| Karniadakis, George	2019	$506,426	NATIONAL HEART, LUNG, AND BLOOD INSTITUTE
Multimodality imaging-driven multifidelity modeling of aortic dissection	Humphrey, JAY D. \| Karniadakis, George	2018	$528,639	NATIONAL HEART, LUNG, AND BLOOD INSTITUTE
Multiscale, Multiphysics Model of Thrombus Biomechanics in Aortic Dissection	Humphrey, JAY D. \| Karniadakis, George	2017	$455,081	NATIONAL HEART, LUNG, AND BLOOD INSTITUTE
Multiscale Modeling of Sickle Cell Anemia: Methods and Validation	DAO, Ming \| Higgins, John Matthew \| Karniadakis, George \| Vekilov, Peter G	2017	$778,114	NATIONAL HEART, LUNG, AND BLOOD INSTITUTE
Multiscale, Multiphysics Model of Thrombus Biomechanics in Aortic Dissection	Karniadakis, George \| Humphrey, JAY D. (contact)	2016	$503,285	NATIONAL HEART, LUNG, AND BLOOD INSTITUTE
Multiscale, Multiphysics Model of Thrombus Biomechanics in Aortic Dissection	Karniadakis, George \| Humphrey, JAY D. (contact)	2015	$474,118	NATIONAL HEART, LUNG, AND BLOOD INSTITUTE
Multiscale, Multiphysics Model of Thrombus Biomechanics in Aortic Dissection	Karniadakis, George \| Humphrey, JAY D. (contact)	2014	$489,719	NATIONAL HEART, LUNG, AND BLOOD INSTITUTE
Multiscale, Multiphysics Model of Thrombus Biomechanics in Aortic Dissection	Karniadakis, George \| Humphrey, JAY D. (contact)	2013	$477,963	NATIONAL HEART, LUNG, AND BLOOD INSTITUTE
BLACKLIGHT FRIENDLY GRANT	Karniadakis, George	2011	$1,094	NATIONAL CENTER FOR RESEARCH RESOURCES