T
Thomas Y. Hou
Researcher at California Institute of Technology
Publications - 232
Citations - 14360
Thomas Y. Hou is an academic researcher from California Institute of Technology. The author has contributed to research in topics: Euler equations & Singularity. The author has an hindex of 51, co-authored 220 publications receiving 13004 citations. Previous affiliations of Thomas Y. Hou include Courant Institute of Mathematical Sciences & New York University.
Papers
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A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media
Thomas Y. Hou,Xiao-Hui Wu +1 more
TL;DR: This paper studies a multiscale finite element method for solving a class of elliptic problems arising from composite materials and flows in porous media, which contain many spatial scales and proposes an oversampling technique to remove the resonance effect.
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A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows
TL;DR: Eulerian finite difference methods based on a level set formulation derived for incompressible, immiscible Navier?Stokes equations are proposed and are capable of computing interface singularities such as merging and reconnection.
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Generalized multiscale finite element methods (GMsFEM)
TL;DR: The main idea of the proposed approach is to construct a small dimensional local solution space that can be used to generate an efficient and accurate approximation to the multiscale solution with a potentially high dimensional input parameter space.
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Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
TL;DR: This paper provides a detailed convergence analysis of the multiscale finite element method for solving second order elliptic equations with rapidly oscillating coefficients under the assumption that the oscillating coefficient is of two scales and is periodic in the fast scale.
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Removing the stiffness from interfacial flows with surface tension
TL;DR: In this article, a boundary integral time integration method is presented for computing the motion of fluid interfaces with surface tension in two-dimensional, irrotational, and incompressible fluids.