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- Thomas Y. Hou

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
56
Citations
15,100
188
World Ranking
526
National Ranking
279

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

- Mathematical analysis
- Geometry
- Partial differential equation

His primary scientific interests are in Mathematical analysis, Finite element method, Euler equations, Boundary value problem and Singularity. His Mathematical analysis research is multidisciplinary, incorporating perspectives in Compressibility and Nonlinear system. Thomas Y. Hou has researched Finite element method in several fields, including Oversampling and Homogenization.

His biological study deals with issues like Incompressible flow, which deal with fields such as Euler's formula and Vortex sheet. His study in Boundary value problem is interdisciplinary in nature, drawing from both Grid, Geometry, Extended finite element method and Finite volume method. The various areas that he examines in his Singularity study include Instability, Inviscid flow, Classical mechanics and Vortex, Vorticity.

- A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media (1393 citations)
- A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows (672 citations)
- Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients (434 citations)

Thomas Y. Hou focuses on Mathematical analysis, Euler equations, Singularity, Applied mathematics and Algorithm. His Mathematical analysis research integrates issues from Rotational symmetry, Navier–Stokes equations, Compressibility, Vortex and Nonlinear system. His work deals with themes such as Singular solution, Vortex stretching, Vorticity and Euler's formula, which intersect with Euler equations.

His Singularity study deals with Inviscid flow intersecting with Conservative vector field. His Applied mathematics study combines topics from a wide range of disciplines, such as Basis function and Finite element method. His studies examine the connections between Finite element method and genetics, as well as such issues in Flow, with regards to Computation.

- Mathematical analysis (53.42%)
- Euler equations (22.37%)
- Singularity (17.35%)

- Mathematical analysis (53.42%)
- Applied mathematics (15.98%)
- Algorithm (14.61%)

His main research concerns Mathematical analysis, Applied mathematics, Algorithm, Basis function and Euler equations. His research in Mathematical analysis intersects with topics in Grid and Rotational symmetry. His work carried out in the field of Applied mathematics brings together such families of science as Elliptic pdes and Reduction.

His research integrates issues of Time–frequency representation, Instantaneous phase, Lasso and Feature selection in his study of Algorithm. His studies in Basis function integrate themes in fields like Function, Rate of convergence, Boundary value problem and Finite element method. The concepts of his Euler equations study are interwoven with issues in Finite time, Vorticity, Singularity, Boundary and Euler's formula.

- Adaptive multiscale model reduction with Generalized Multiscale Finite Element Methods (125 citations)
- Potentially singular solutions of the 3D axisymmetric Euler equations (118 citations)
- Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation (58 citations)

- Mathematical analysis
- Geometry
- Partial differential equation

Thomas Y. Hou spends much of his time researching Mathematical analysis, Euler equations, Singularity, Instantaneous phase and Applied mathematics. His research in Mathematical analysis intersects with topics in Reduction and Invertible matrix. His Euler equations research includes elements of Rotational symmetry, Boundary, Euler's formula, Discretization and Domain.

His Instantaneous phase research incorporates themes from Algorithm, Waveform, Noise and Hilbert–Huang transform. Thomas Y. Hou has researched Algorithm in several fields, including Time–frequency representation and Mathematical optimization. His Applied mathematics study also includes

- Basis function which is related to area like Finite element method, Interpolation, Boundary value problem, Rank and Basis,
- Nonlinear system and related Dynamical systems theory.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

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

Thomas Y. Hou;Xiao-Hui Wu.

Journal of Computational Physics **(1997)**

2142 Citations

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

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

Journal of Computational Physics **(1996)**

1211 Citations

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

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

Mathematics of Computation **(1999)**

744 Citations

Removing the stiffness from interfacial flows with surface tension

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

Journal of Computational Physics **(1994)**

668 Citations

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

Zhiming Chen;Thomas Y. Hou.

Mathematics of Computation **(2003)**

604 Citations

Generalized multiscale finite element methods (GMsFEM)

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

Journal of Computational Physics **(2013)**

524 Citations

GLOBAL WELL-POSEDNESS OF THE VISCOUS BOUSSINESQ EQUATIONS

Thomas Y. Hou;Congming Li.

Discrete and Continuous Dynamical Systems **(2004)**

403 Citations

Why nonconservative schemes converge to wrong solutions: error analysis

Thomas Y. Hou;Philippe G. Le Floch.

Mathematics of Computation **(1994)**

388 Citations

Convergence of a Nonconforming Multiscale Finite Element Method

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

SIAM Journal on Numerical Analysis **(2000)**

381 Citations

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

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

Journal of Computational Physics **(1997)**

328 Citations

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