Hou, Yizhao

Article from CaltechAUTHORS

Chen, Jiajie and Hou, Thomas Y. (2025) Singularity formation in 3D Euler equations with smooth initial data and boundary; Proceedings of the National Academy of Sciences; Vol. 122; No. 27; e2500940122; 10.1073/pnas.2500940122
Chen, Jiajie and Hou, Thomas Y. (2025) Stable Nearly Self-Similar Blowup of the 2D Boussinesq and 3D Euler Equations with Smooth Data II: Rigorous Numerics; Multiscale Modeling and Simulation; Vol. 23; No. 1; 25-130; 10.1137/23m1580395
Hou, Yizhao T. and Wang, Yixuan (2024) Blowup analysis for a quasi-exact 1D model of 3D Euler and Navier–Stokes; Nonlinearity; Vol. 37; No. 3; 035001; 10.1088/1361-6544/ad1c2f
Chen, Yifan and Hou, Thomas Y., el al. (2023) Exponentially Convergent Multiscale Finite Element Method; Communications on Applied Mathematics and Computation; 10.1007/s42967-023-00260-2
Hou, Thomas Y. and Huang, De (2023) Potential Singularity Formation of Incompressible Axisymmetric Euler Equations with Degenerate Viscosity Coefficients; Multiscale Modeling and Simulation; Vol. 21; No. 1; 218-268; 10.1137/22m1470906
Hou, Thomas Y. (2022) Potentially Singular Behavior of the 3D Navier-Stokes Equations; Foundations of Computational Mathematics; 10.1007/s10208-022-09578-4
Hou, Thomas Y. (2022) Potential Singularity of the 3D Euler Equations in the Interior Domain; Foundations of Computational Mathematics; 10.1007/s10208-022-09585-5
Hou, Thomas Y. and Huang, De (2022) A potential two-scale traveling wave singularity for 3D incompressible Euler equations; Physica D; Vol. 435; Art. No. 133257; 10.1016/j.physd.2022.133257
Chen, Jiajie and Hou, Thomas Y., el al. (2022) Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations; Annals of PDE; Vol. 8; No. 2; Art. No. 24; 10.1007/s40818-022-00140-7
Chen, Yifan and Hou, Thomas Y. (2022) Multiscale Elliptic PDE Upscaling and Function Approximation via Subsampled Data; Multiscale Modeling and Simulation; Vol. 20; No. 1; 188-219; 10.1137/20m1372214
Zhang, Shumao and Zhang, Pengchuan, el al. (2021) Multiscale Invertible Generative Networks for High-Dimensional Bayesian Inference; Proceedings of Machine Learning Research; Vol. 139; 12632-12641; 10.48550/arXiv.2105.05489
Chen, Yifan and Hou, Thomas Y., el al. (2021) Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions; Multiscale Modeling and Simulation; Vol. 19; No. 2; 980-1010; 10.1137/20m1352922
Chen, Jiajie and Hou, Thomas Y., el al. (2021) On the Finite Time Blowup of the De Gregorio Model for the 3D Euler Equations; Communications on Pure and Applied Mathematics; Vol. 74; No. 6; 1282-1350; 10.1002/cpa.21991
Chen, Jiajie and Hou, Thomas Y. (2021) Finite Time Blowup of 2D Boussinesq and 3D Euler Equations with C^(1,α) Velocity and Boundary; Communications in Mathematical Physics; Vol. 383; No. 3; 1559-1667; 10.1007/s00220-021-04067-1
Chen, Yifan and Hou, Thomas Y. (2021) Function approximation via the subsampled Poincaré inequality; Discrete and Continuous Dynamical Systems - Series A; Vol. 41; No. 1; 169-199; 10.3934/dcds.2020296
Chen, Jiajie and Hou, Anthony, el al. (2020) A prototype knockoff filter for group selection with FDR control; Information and Inference; Vol. 9; No. 2; 271-288; 10.1093/imaiai/iaz012
Zhang, Zhiwen and Rosakis, Phoebus, el al. (2020) A Minimal Mechanosensing Model Predicts Keratocyte Evolution on Flexible Substrates; Journal of the Royal Society Interface; Vol. 17; No. 166; Art. No. 20200175; PMCID PMC7276546; 10.1098/rsif.2020.0175
Luo, Guo and Hou, Thomas Y. (2019) Formation of Finite-Time Singularities in the 3D Axisymmetric Euler Equations: A Numerics Guided Study; SIAM Review; Vol. 61; No. 4; 793-835; 10.1137/19m1288061
Hou, Thomas Y. and Lam, Ka Chun, el al. (2019) Solving Bayesian inverse problems from the perspective of deep generative networks; Computational Mechanics; Vol. 64; No. 2; 395-408; 10.1007/s00466-019-01739-7
Hou, Thomas Y. and Ma, Dingjiong, el al. (2019) A Model Reduction Method for Multiscale Elliptic Pdes with Random Coefficients Using an Optimization Approach; Multiscale Modeling and Simulation; Vol. 17; No. 2; 826-853; 10.1137/18m1205844
Chen, Jiajie and Hou, Anthony, el al. (2019) A pseudo knockoff filter for correlated features; Information and Inference; Vol. 8; No. 2; 313-341; 10.1093/imaiai/iay012
Hou, Thomas Y. and Huang, De, el al. (2019) A Fast Hierarchically Preconditioned Eigensolver Based on Multiresolution Matrix Decomposition; Multiscale Modeling and Simulation; Vol. 17; No. 1; 260-306; 10.1137/18m1180827
Hou, Thomas Y. and Jin, Tianling, el al. (2018) Potential Singularity for a Family of Models of the Axisymmetric Incompressible Flow; Journal of Nonlinear Science; Vol. 28; No. 6; 2217-2247; 10.1007/s00332-017-9370-9
Hou, Thomas Y. and Liu, Pengfei, el al. (2018) Global regularity for a family of 3D models of the axi-symmetric Navier–Stokes equations; Nonlinearity; Vol. 31; No. 5; Art. No. 1940; 10.1088/1361-6544/aaaa0b
Hou, Thomas Y. and Huang, De, el al. (2018) An Adaptive Fast Solver for a General Class of Positive Definite Matrices Via Energy Decomposition; Multiscale Modeling and Simulation; Vol. 16; No. 2; 615-678; 10.1137/17M1140686
Hou, Thomas Y. and Zhang, Pengchuan (2017) Sparse operator compression of higher-order elliptic operators with rough coefficients; Research in the Mathematical Sciences; Vol. 4; No. 1; Art. No. 24; 10.1186/s40687-017-0113-1
Choi, Kyudong and Hou, Thomas Y., el al. (2017) On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations; Communications on Pure and Applied Mathematics; Vol. 70; No. 11; 2218-2243; 10.1002/cpa.21697
Liu, ChunGuang and Shi, ZuoQiang, el al. (2017) A two-level method for sparse time-frequency representation of multiscale data; Science China Mathematics; Vol. 60; No. 10; 1733-1752; 10.1007/s11425-016-9088-9
Hou, Thomas Y. and Hwang, Feng-Nan, el al. (2017) An iteratively adaptive multi-scale finite element method for elliptic PDEs with rough coefficients; Journal of Computational Physics; Vol. 336; 375-400; 10.1016/j.jcp.2017.02.002
Hou, Thomas Y. and Li, Qin, el al. (2017) Exploring the locally low dimensional structure in solving random elliptic PDEs; Multiscale Modeling & Simulation; Vol. 15; No. 2; 661-695; 10.1137/16M1077611
Hou, Thomas Y. and Li, Qin, el al. (2017) A sparse decomposition of low rank symmetric positive semi-definite matrices; Multiscale Modeling and Simulation; Vol. 15; No. 1; 410-444; 10.1137/16M107760X
Bao, Yuequan and Shi, Zuoqiang, el al. (2017) Identification of time-varying cable tension forces based on adaptive sparse time-frequency analysis of cable vibrations; Structural Control and Health Monitoring; Vol. 24; No. 3; Art. No. e1889; 10.1002/stc.1889
Schaeffer, Hayden and Hou, Thomas Y. (2016) An Accelerated Method for Nonlinear Elliptic PDE; Journal of Scientific Computing; Vol. 69; No. 2; 556-580; 10.1007/s10915-016-0215-8
Chung, Eric and Efendiev, Yalchin, el al. (2016) Adaptive multiscale model reduction with Generalized Multiscale Finite Element Methods; Journal of Computational Physics; Vol. 320; 69-95; 10.1016/j.jcp.2016.04.054
Hou, Thomas Y. and Liu, Pengfei (2016) Optimal Local Multi-scale Basis Functions for Linear Elliptic Equations with Rough Coefficient; Discrete and Continuous Dynamical Systems; Vol. 36; No. 8; 4451-4476; 10.3934/dcds.2016.36.4451
Hou, Thomas Y. and Shi, Zuoqiang (2016) Extracting a shape function for a signal with intra-wave frequency modulation; Philosophical Transactions A: Mathematical, Physical and Engineering Sciences; Vol. 374; No. 2065; Art. No. 20150194; PMCID PMC4792404; 10.1098/rsta.2015.0194
Huang, Norden E. and Daubechies, Ingrid, el al. (2016) Adaptive data analysis: theory and applications; Philosophical Transactions A: Mathematical, Physical and Engineering Sciences; Vol. 374; No. 2065; Art. No. 20150207; 10.1098/rsta.2015.0207
Hou, Thomas Y. and Shi, Zuoqiang (2016) Sparse time-frequency decomposition based on dictionary adaptation; Philosophical Transactions A: Mathematical, Physical and Engineering Sciences; Vol. 374; No. 2065; Art. No. 20150192; PMCID PMC4792402; 10.1098/rsta.2015.0192
Hou, Thomas Y. and Liu, Pengfei, el al. (2016) A Model Reduction Method for Elliptic PDEs with Random Input Using the Heterogeneous Stochastic FEM Framework; Bulletin of the Intitute of Mathematics Academia Sinica; Vol. 11; No. 1; 179-216
Tavallali, Peyman and Hou, Thomas Y., el al. (2015) On the convergence and accuracy of the cardiovascular intrinsic frequency method; Royal Society Open Science; Vol. 2; No. 12; Art. No. 150475; PMCID PMC4807454; 10.1098/rsos.150475
Liu, Chunguang and Shi, Zuoqiang, el al. (2015) On the Uniqueness of Sparse Time-Frequency Representation of Multiscale Data; Multiscale Modeling and Simulation; Vol. 13; No. 3; 790-811; 10.1137/141002098
Zhang, Zhiwen and Ci, Maolin, el al. (2015) A Multiscale Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficients; Multiscale Modeling and Simulation; Vol. 13; No. 1; 173-204; 10.1137/130948136
Hou, Thomas Y. and Liu, Pengfei (2015) A heterogeneous stochastic FEM framework for elliptic PDEs; Journal of Computational Physics; Vol. 281; 942-969; 10.1016/j.jcp.2014.10.020
Hou, Thomas Y. and Shi, Zuoqiang, el al. (2015) Sparse Time Frequency Representations and Dynamical Systems; Communications in Mathematical Sciences; Vol. 13; No. 3; 673-694; 10.4310/CMS.2015.v13.n3.a4
Tavallali, Peyman and Hou, Thomas Y., el al. (2014) Extraction of Intrawave Signals Using the Sparse Time-Frequency Representation Method; Multiscale Modeling and Simulation; Vol. 12; No. 4; 1458-1493; 10.1137/140957767
Luo, Guo and Hou, Thomas Y. (2014) Potentially singular solutions of the 3D axisymmetric Euler equations; Proceedings of the National Academy of Sciences of the United States of America; Vol. 111; No. 36; 12968-12973; PMCID PMC4246962; 10.1073/pnas.1405238111
Pahlevan, Niema M. and Tavallali, Peyman, el al. (2014) Intrinsic frequency for a systems approach to haemodynamic waveform analysis with clinical applications; Journal of the Royal Society Interface; Vol. 11; No. 98; Art. No. 20140617; PMCID PMC4233710; 10.1098/rsif.2014.0617
Zhang, Zhiwen and Hu, Xin, el al. (2014) Adaptive ANOVA-Based Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficient; Communications in Computational Physics; Vol. 16; No. 3; 571-598; 10.4208/cicp.270913.020414a
Hou, Thomas Y. and Shi, Zuoqiang, el al. (2014) Convergence of a data-driven time–frequency analysis method; Applied and Computational Harmonic Analysis; Vol. 37; No. 2; 235-270; 10.1016/j.acha.2013.12.004
Hou, Thomas Y. and Lei, Zhen, el al. (2014) On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler Equations; Archive for Rational Mechanics and Analysis; Vol. 212; No. 2; 683-706; 10.1007/s00205-013-0717-6
Luo, Guo and Hou, Thomas Y. (2014) Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation; Multiscale Modeling & Simulation; Vol. 12; No. 4; 1722-1776; 10.1137/140966411
Ci, Maolin and Hou, Thomas Y., el al. (2014) A Multiscale Model Reduction Method for Partial Differential Equations; ESAIM-Mathematical Modelling and Numerical Analysis; Vol. 48; No. 2; 449-474; 10.1051/m2an/2013115
Hou, Thomas Yizhao and Shi, Zuoqiang (2013) Sparse time-frequency representation of nonlinear and nonstationary data; Science China Mathematics; Vol. 56; No. 12; 2489-2506; 10.1007/s11425-013-4733-7
Efendiev, Yalchin and Galvis, Juan, el al. (2013) Generalized multiscale finite element methods (GMsFEM); Journal of Computational Physics; Vol. 251; 116-135; 10.1016/j.jcp.2013.04.045
Hou, Thomas Y. and Shi, Zuoqiang (2013) Data-driven time–frequency analysis; Applied and Computational Harmonic Analysis; Vol. 35; No. 2; 284-308; 10.1016/j.acha.2012.10.001
Shi, Yuan and Li, King-Fai, el al. (2013) A decadal microwave record of tropical air temperature from AMSU-A/aqua observations; Climate Dynamics; Vol. 41; No. 5-6; 1385-1405; 10.1007/s00382-013-1696-x
Cheng, Mulin and Hou, Thomas Y., el al. (2013) A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations I: Derivation and algorithms; Journal of Computational Physics; Vol. 242; 843-868; 10.1016/j.jcp.2013.02.033
Cheng, Mulin and Hou, Thomas Y., el al. (2013) A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations II: Adaptivity and generalizations; Journal of Computational Physics; Vol. 242; 753-776; 10.1016/j.jcp.2013.02.020
Hou, T. Y. and Hu, X., el al. (2013) Multiscale modeling of incompressible turbulent flows; Journal of Computational Physics; Vol. 232; No. 1; 383-396; 10.1016/j.jcp.2012.08.029
Miller, Cass T. and Dawson, Clint N., el al. (2013) Numerical simulation of water resources problems: Models, methods, and trends; Advances in Water Resources; Vol. 51; 405-437; 10.1016/j.advwatres.2012.05.008
Hou, Thomas Y. and Shi, Zuoqiang, el al. (2012) On singularity formation of a 3D model for incompressible Navier–Stokes equations; Advances in Mathematics; Vol. 230; No. 2; 607-641; 10.1016/j.aim.2012.02.015
Hou, Thomas Y. and Shi, Zuoqiang (2012) Dynamic growth estimates of maximum vorticity for 3D incompressible Euler equations and the SQG model; Discrete and Continuous Dynamical Systems; Vol. 32; No. 5; 1449-1463; 10.3934/dcds.2012.32.1449
Hou, Thomas Y. and Shi, Zuoqiang (2011) Adaptive data analysis via sparse time-frequency representation; Advances in Adaptive Data Analysis; Vol. 3; No. 1-2; 1-28; 10.1142/S1793536911000647
Hou, Thomas Y. and Tai, Xue-Cheng (2011) Introduction; Advances in Adaptive Data Analysis; Vol. 3; No. 1-2; v-vi; 10.1142/S1793536911000672
Hou, Thomas Y. and Li, Congming, el al. (2011) On Singularity Formation of a Nonlinear Nonlocal System; Archive for Rational Mechanics and Analysis; Vol. 199; No. 1; 117-144; 10.1007/s00205-010-0319-5
Hou, Thomas Y. and Tai, Xue-Cheng (2011) Introduction; Advances in Adaptive Data Analysis; Vol. 3; No. 1-2; v-vi; 10.1142/S1793536911000672
Chu, C.-C. and Graham, I. G., el al. (2010) A new multiscale finite element method for high-contrast elliptic interface problems; Mathematics of Computation; Vol. 79; No. 272; 1915-1955
Hou, Thomas Y. and Lei, Zhen (2009) On the Partial Regularity of a 3D Model of the Navier-Stokes Equations; Communications in Mathematical Physics; Vol. 287; No. 2; 589-612; 10.1007/s00220-008-0689-9
Hou, Thomas Y. and Lei, Zhen (2009) On the stabilizing effect of convection in three-dimensional incompressible flows; Communications on Pure and Applied Mathematics; Vol. 62; No. 4; 501-564; 10.1002/cpa.20254
Hou, Thomas Y. and Liang, Dong (2009) Multiscale analysis for convection dominated transport equations; Discrete and Continuous Dynamical Systems; Vol. 23; No. 1-2; 281-298; 10.3934/dcds.2009.23.281
Hou, Thomas Y. (2009) Blow-up or no blow-up? A unified computational and analytic approach to 3D incompressible Euler and Navier–Stokes equations; Acta Numerica; Vol. 18; 277-346; 10.1017/S0962492906420018
Hou, Thomas Y. and Wetton, Brian R. (2009) Stable Fourth Order Stream-Function Methods for Incompressible Flows with Boundaries; Journal of Computational Mathematics; Vol. 27; No. 4; 441-458; 10.4208/jcm.2009.27.4.012
Hou, Thomas Y. and Shi, Zuoqiang (2008) Removing the Stiffness of Elastic Force from the Immersed Boundary Method for the 2D Stokes Equations; Journal of Computational Physics; Vol. 227; No. 21; 9138-9169; 10.1016/j.jcp.2008.03.002
Hou, T. Y. and Shi, Z. (2008) An efficient semi-implicit immersed boundary method for the Navier–Stokes equations; Journal of Computational Physics; Vol. 227; No. 20; 8968-8991; 10.1016/j.jcp.2008.07.005
Hou, Thomas Y. and Lei, Zhen, el al. (2008) Global Regularity of the 3D Axi-symmetric Navier-Stokes Equations with Anisotropic Data; Communications in Partial Differential Equation; Vol. 33; No. 9; 1622-1637; 10.1080/03605300802108057
Efendiev, Y. and Hou, T., el al. (2008) Multiscale simulations of porous media flows in flow-based coordinate system; Computational Geosciences; Vol. 12; No. 3; 257-272; 10.1007/s10596-007-9073-7
Dostert, P. and Efendiev, Y., el al. (2008) Multiscale finite element methods for stochastic porous media flow equations and application to uncertainty quantification; Computer Methods in Applied Mechanics and Engineering; Vol. 197; No. 43-44; 3445-3455; 10.1016/j.cma.2008.02.030
Hou, Thomas Y. and Li, Congming (2008) Dynamic stability of the three-dimensional axisymmetric Navier-Stokes equations with swirl; Communications on Pure and Applied Mathematics; Vol. 61; No. 5; 661-697; 10.1002/cpa.20212
Hou, Thomas Y. and Yang, Danping, el al. (2008) Multiscale Analysis and Computation for the Three-Dimensional Incompressible Navier–Stokes Equations; Multiscale Modeling and Simulation; Vol. 6; No. 4; 1317-1346; 10.1137/070682046
Hou, Thomas Y. and Li, Ruo (2007) Computing nearly singular solutions using pseudo-spectral methods; Journal of Computational Physics; Vol. 226; No. 1; 379-397; 10.1016/j.jcp.2007.04.014
Hou, T. Y. and Stredie, V. G., el al. (2007) Mathematical modeling and simulation of aquatic and aerial animal locomotion; Journal of Computational Physics; Vol. 225; No. 2; 1603-1631; 10.1016/j.jcp.2007.02.015
Hou, Thomas Y. and Li, Ruo (2007) Nonexistence of locally self-similar blow-up for the 3D incompressible Navier-Stokes equations; Discrete and Continuous Dynamical Systems; Vol. 18; No. 4; 637-642; 10.3934/dcds.2007.18.637
Efendiev, Y. and Hou, T. Y. (2007) Multiscale finite element methods for porous media flows and their applications; Applied Numerical Mathematics; Vol. 57; No. 5-7; 577-596; 10.1016/j.apnum.2006.07.009
Hou, Thomas Y. (2007) Organized structures, memory, and the decay of turbulence; Proceedings of the National Academy of Sciences of the United States of America; Vol. 104; No. 16; 6498-6499; PMCID PMC1871813; 10.1073/pnas.0700639104
Tang, Shao-Qiang and Liu, Wing K., el al. (2007) Bridging Atomistic/Continuum Scales in Solids with Moving Dislocations; Chinese Physics Letters; Vol. 24; No. 1; 161-164; 10.1088/0256-307X/24/1/044
Hou, Thomas Y. and Westhead, Andrew, el al. (2006) A Framework for Modeling Subgrid Effects for Two-Phase Flows in Porous Media; Multiscale Modeling & Simulation; Vol. 5; No. 4; 1087-1127; 10.1137/050646020
Hou, Thomas Y. and Li, Ruo (2006) Dynamic Depletion of Vortex Stretching and Non-Blowup of the 3-D Incompressible Euler Equations; Journal of Nonlinear Science; Vol. 16; No. 6; 639-664; 10.1007/s00332-006-0800-3
Hou, Thomas Y. and Li, Congming (2006) On Global Well-Posedness of the Lagrangian Averaged Euler Equations; SIAM Journal on Mathematical Analysis; Vol. 38; No. 3; 782-794; 10.1137/050625783
Hou, T. Y. and Stredie, V. G., el al. (2006) A 3D Numerical Method for Studying Vortex Formation Behind a Moving Plate; Communications in Computational Physics; Vol. 1; No. 2; 207-228
Deng, Jian and Hou, Thomas Y., el al. (2006) Improved Geometric Conditions for Non-Blowup of the 3D Incompressible Euler Equation; Communications in Partial Differential Equations; Vol. 31; No. 2; 293-306; 10.1080/03605300500358152
Efendiev, Y. and Hou, T., el al. (2006) Preconditioning Markov Chain Monte Carlo Simulations Using Coarse-Scale Models; SIAM Journal on Scientific Computing; Vol. 28; No. 2; 776-803; 10.1137/050628568
Hou, Thomas Y. and Yang, Danping, el al. (2005) Multiscale analysis in Lagrangian formulation for the 2-D incompressible Euler equation; Discrete and Continuous Dynamical Systems; Vol. 13; No. 5; 1153-1186; 10.3934/dcds.2005.13.1153
Hou, Thomas Y. (2005) Multiscale modelling and computation of fluid flow; International Journal for Numerical Methods in Fluids; Vol. 47; No. 8-9; 707-719; 10.1002/fld.866
Deng, Jian and Hou, Thomas Y., el al. (2005) Geometric Properties and Nonblowup of 3D Incompressible Euler Flow; Communications in Partial Differential Equations; Vol. 30; No. 1-2; 225-243; 10.1081/PDE-200044488
Efendiev, Y. and Hou, T. Y., el al. (2004) Multiscale Finite Element Methods for Nonlinear Problems and their Applications; Communications in Mathematical Sciences; Vol. 2; No. 4; 553-589
Fetecau, R. C. and Hou, T. Y. (2004) A modified particle method for semilinear hyperbolic systems with oscillatory solutions; Methods and Applications of Analysis; Vol. 11; No. 4; 573-604
Hou, Thomas Y. and Wu, Xiao-Hui, el al. (2004) Removing the cell resonance error in the multiscale finite element method via a Petrov-Galerkin formulation; Communications in Mathematical Sciences; Vol. 2; No. 2; 185-205
Hou, Thomas Y. and Yang, Dan-ping, el al. (2004) Homogenization of incompressible Euler equations; Journal of Computational Mathematics; Vol. 22; No. 2; 220-229
Hou, Thomas Y. and Hu, Gang, el al. (2003) Singularity formation in three-dimensional vortex sheets; Physics of Fluids; Vol. 15; No. 1; 147-172; 10.1063/1.1526100
Chen, Zhiming and Hou, Thomas Y. (2002) A mixed multiscale finite element method for elliptic problems with oscillating coefficients; Mathematics of Computation; Vol. 72; No. 242; 541-576
Aarnes, Jørg and Hou, Thomas Y. (2002) Multiscale Domain Decomposition Methods for Elliptic Problems with High Aspect Ratios; Acta Mathematicae Applicatae Sinica, English Series; Vol. 18; No. 1; 63-76; 10.1007/s102550200004
Ceniceros, Hector D. and Hou, Thomas Y. (2000) The singular perturbation of surface tension in Hele-Shaw flows; Journal of Fluid Mechanics; Vol. 409; 251-272; 10.1017/S0022112099007703
Efendiev, Yalchin R. and Hou, Thomas Y., el al. (2000) Convergence of a nonconforming multiscale finite element method; SIAM Journal on Numerical Analysis; Vol. 37; No. 3; 888-910; 10.1137/S0036142997330329
Ceniceros, Hector D. and Hou, Thomas Y., el al. (1999) Numerical study of Hele-Shaw flow with suction; Physics of Fluids; Vol. 11; No. 9; 2471-2486; 10.1063/1.870112
Ceniceros, Hector D. and Hou, Thomas Y. (1999) Dynamic generation of capillary waves; Physics of Fluids; Vol. 11; No. 5; 1042-1050; 10.1063/1.869975
Hou, Thomas Y. and Wu, Xiao-Hui, el al. (1998) Effect of finite computational domain on turbulence scaling law in both physical and spectral spaces; Physical Review E; Vol. 58; No. 5; 5841-5844; 10.1103/PhysRevE.58.5841
Hou, Thomas Yizhao (1998) Numerical Study of Free Interface Problems Using Boundary Integral Methods; Documenta Mathematica; Vol. Extra; No. Volume; 601-610
Hou, Thomas Y. and Wu, Xiao-Hui (1997) A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media; Journal of Computational Physics; Vol. 134; No. 1; 169-189; 10.1006/jcph.1997.5682
Beale, J. Thomas and Hou, Thomas Y., el al. (1996) Convergence of a Boundary Integral Method for Water Waves; SIAM Journal on Numerical Analysis; Vol. 33; No. 5; 1797-1843; 10.1137/S0036142993245750
Hou, Thomas Y. and Wetton, Brian T. R. (1993) Second-Order Convergence of a Projection Scheme for the Incompressible Navier–Stokes Equations with Boundaries; SIAM Journal on Numerical Analysis; Vol. 30; No. 3; 609-629; 10.1137/0730030