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Mathematics

D-Index
61
Citations
17836
World Ranking
508
National Ranking
267

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2011 - Fellow of the American Academy of Arts and Sciences
  • 2009 - SIAM Fellow For contributions to fluid mechanics and multiscale analysis.
  • 2005 - THE J. TINSLEY ODEN MEDAL For his outstanding contributions in developing innovative multiscale analysis and computational methods, and their applications to flows in porous media and turbulence.
  • 1990 - Fellow of Alfred P. Sloan Foundation

Overview

Thomas Y. Hou is affiliated with the California Institute of Technology in the United States. Their research spans several main fields, including Engineering, Mathematics, and Computer Science. Within these fields, their subfields of study focus on Computational Mechanics, Applied Mathematics, Mechanics of Materials, Computational Theory and Mathematics, and Mathematical Physics.

The scientist's work covers multiple key topics, notably Navier-Stokes equation solutions, Computational Fluid Dynamics and Aerodynamics, Advanced Mathematical Modeling in Engineering, Composite Material Mechanics, Advanced Numerical Methods in Computational Mathematics, Advanced Mathematical Physics Problems, and Fluid Dynamics and Turbulent Flows.

Thomas Y. Hou has published extensively in various venues, including:

  • arXiv (Cornell University)
  • Multiscale Modeling and Simulation
  • Foundations of Computational Mathematics
  • Communications in Mathematical Physics
  • IEEE Transactions on Dependable and Secure Computing

They have authored and co-authored multiple papers, including:

  • "NPMML: A Framework for Non-interactive Privacy-preserving Multi-party Machine Learning," 2020, IEEE Transactions on Dependable and Secure Computing
  • "Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations," 2022, Annals of PDE
  • "Potentially Singular Behavior of the 3D Navier-Stokes Equations," 2022, Foundations of Computational Mathematics
  • "Potential Singularity of the 3D Euler Equations in the Interior Domain," 2022, Foundations of Computational Mathematics
  • "Fast Global Convergence for Low-rank Matrix Recovery via Riemannian Gradient Descent with Random Initialization," 2020, arXiv (Cornell University)

Frequent collaborators include Eric T. Chung, Yalchin Efendiev, Jiajie Chen, Yifan Chen, and Yixuan Wang.

Thomas Y. Hou is also an author of a book titled "Multiscale Model Reduction," published by Springer Nature in 2023.

Over the course of their career, the scientist has received several distinctions, including:

  • Fellow of the American Mathematical Society (2013)
  • Fellow of the American Academy of Arts and Sciences (2011)
  • SIAM Fellow (2009), for contributions to fluid mechanics and multiscale analysis
  • THE J. TINSLEY ODEN MEDAL (2005), recognizing work in multiscale analysis and computational methods applied to flows in porous media and turbulence
  • Fellow of Alfred P. Sloan Foundation (1990)

Best Publications

  • A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media

    Thomas Y. Hou;Xiao-Hui Wu

  • A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows

    Y.C. Chang;T.Y. Hou;B. Merriman;S. Osher

  • Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients

    Thomas Y. Hou;Xiao-Hui Wu;Zhiqiang Cai

  • Removing the stiffness from interfacial flows with surface tension

    Thomas Y. Hou;John S. Lowengrub;Michael J. Shelley

  • Generalized multiscale finite element methods (GMsFEM)

    Yalchin Efendiev;Yalchin Efendiev;Juan Galvis;Juan Galvis;Thomas Y. Hou

  • A mixed multiscale finite element method for elliptic problems with oscillating coefficients

    Zhiming Chen;Thomas Y. Hou

  • GLOBAL WELL-POSEDNESS OF THE VISCOUS BOUSSINESQ EQUATIONS

    Thomas Y. Hou;Congming Li

  • Convergence of a Nonconforming Multiscale Finite Element Method

    Yalchin R. Efendiev;Thomas Y. Hou;Xiao-Hui Wu

  • Why nonconservative schemes converge to wrong solutions: error analysis

    Thomas Y. Hou;Philippe G. Le Floch

  • A Hybrid Method for Moving Interface Problems with Application to the Hele-Shaw Flow

    Thomas Y. Hou;Zhilin Li;Stanley Osher;Hongkai Zhao

  • Analysis of upscaling absolute permeability

    X.H. Wu;Y. Efendiev;Thomas Y. Hou

  • Computing nearly singular solutions using pseudo-spectral methods

    Thomas Y. Hou;Thomas Y. Hou;Ruo Li

  • Accurate multiscale finite element methods for two-phase flow simulations

    Y. Efendiev;V. Ginting;T. Hou;R. Ewing

  • Multiscale Finite Element Methods for Nonlinear Problems and Their Applications

    Y. Efendiev;T. Y. Hou;V. Ginting

  • Boundary integral methods for multicomponent fluids and multiphase materials

    T. Y. Hou;J. S. Lowengrub;M. J. Shelley

  • Wiener Chaos expansions and numerical solutions of randomly forced equations of fluid mechanics

    Thomas Y. Hou;Wuan Luo;Boris Rozovskii;Hao-Min Zhou

  • A new multiscale finite element method for high-contrast elliptic interface problems

    C.-C. Chu;C.-C. Chu;Ivan G. Graham;T.-Y. Hou

  • Preconditioning Markov Chain Monte Carlo Simulations Using Coarse-Scale Models

    Y. Efendiev;T. Hou;W. Luo

  • An efficient dynamically adaptive mesh for potentially singular solutions

    Hector D. Ceniceros;Thomas Y. Hou

  • Adaptive multiscale model reduction with Generalized Multiscale Finite Element Methods

    Eric Chung;Yalchin Efendiev;Thomas Y. Hou

  • The long-time motion of vortex sheets with surface tension

    T. Y. Hou;J. S. Lowengrub;M. J. Shelley

Frequent Co-Authors

Yalchin Efendiev
Yalchin Efendiev Texas A&M University
John Lowengrub
John Lowengrub University of California, Irvine
Congming Li
Congming Li Shanghai Jiao Tong University
Eitan Tadmor
Eitan Tadmor University of Maryland, College Park
Ivan G. Graham
Ivan G. Graham University of Bath
Hamdi A. Tchelepi
Hamdi A. Tchelepi Stanford University
Vladimír Šverák
Vladimír Šverák University of Minnesota
Louis J. Durlofsky
Louis J. Durlofsky Stanford University
Yuequan Bao
Yuequan Bao Harbin Institute of Technology
Russel E. Caflisch
Russel E. Caflisch Courant Institute of Mathematical Sciences

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