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    Article

    A New A Posteriori Error Estimates for Optimal Control Problems Governed by Parabolic Integro-Differential Equations

    In this paper, we provide a new a posteriori error analysis for linear finite element approximation of a parabolic integro-differential optimal control problem. The state and co-state are approximated by piece...

    H. Chen, T. Hou in Numerical Analysis and Applications (2024)

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    Article

    A Priori Error Estimates of  \(P_0^2{-}P_1\)  Mixed Finite Element Methods for a Class of Nonlinear Parabolic Equations

    In this paper, we consider  \(P_0^2{-}P_1\)  mixed finite element approximations of a class of nonlinear parabolic equa...

    Ch. Liu, T. Hou, Zh. Weng in Numerical Analysis and Applications (2021)

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    Chapter and Conference Paper

    LES of a Turbulent Partially-Premixed Flame Near Extinction Based on REDIM-PFDF Model

    In recent years, turbulent partially-premixed flame with inhomogeneous inlets has drawn the attention of combustion community because of better flame stability near jet exit plane and its application in the pr...

    P. Wang, P. Shrotriya, T. Hou in Direct and Large Eddy Simulation XII (2020)

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    Article

    Two-Grid Methods for a New Mixed Finite Element Approximation of Semilinear Parabolic Integro-Differential Equations

    In this paper, we present a two-grid scheme for a semilinear parabolic integro-differential equation using a new mixed finite element method. The gradient for the method belongs to the square integrable space ...

    C. Liu, T. Hou in Numerical Analysis and Applications (2019)

  5. Article

    Erratum to: Mixed Methods for Optimal Control Problems

    Page 268 (and Contents), the title should read as follows:

    T. Hou in Numerical Analysis and Applications (2018)

  6. No Access

    Article

    Mixed Methods for Optimal Control Problems

    In this paper, we investigate a posteriori error estimates of amixed finite elementmethod for elliptic optimal control problems with an integral constraint. The gradient for ourmethod belongs to the square int...

    T. Hou in Numerical Analysis and Applications (2018)

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    Article

    Discrete maximum-norm stability of a linearized second-order finite difference scheme for Allen–Cahn equation

    In this paper, we use finite difference methods for solving the Allen–Cahn equation that contains small perturbation parameters and strong nonlinearity. We consider a linearized second-order three-level scheme...

    T. Hou, K. Wang, Y. **ong, X. **ao, Sh. Zhang in Numerical Analysis and Applications (2017)

  8. Article

    Clinical characteristics and surgical outcome of thoracic myelopathy caused by ossification of the ligamentum flavum: a retrospective analysis of 85 cases

    A retrospective comparative study.

    Z Li, D Ren, Y Zhao, S Hou, L Li, S Yu, T Hou in Spinal Cord (2016)

  9. Article

    Open Access

    Dihydroartemisinin attenuates lipopolysaccharide-induced osteoclastogenesis and bone loss via the mitochondria-dependent apoptosis pathway

    Dihydroartemisinin (DHA) is a widely used antimalarial drug isolated from the plant Artemisia annua. Recent studies suggested that DHA has antitumor effects utilizing its reactive oxygen species (ROS) yielding me...

    C Dou, N Ding, J **ng, C Zhao, F Kang, T Hou, H Quan, Y Chen, Q Dai in Cell Death & Disease (2016)

  10. Article

    Open Access

    MicroRNA-196a promotes cervical cancer proliferation through the regulation of FOXO1 and p27Kip1

    The phosphoinositide 3-kinase (PI3K)/Akt signalling pathway appears to be a key regulator in cervical carcinogenesis. However, the downstream regulatory mechanism of PI3K/Akt signalling remains largely unknown.

    T Hou, J Ou, X Zhao, X Huang, Y Huang, Y Zhang in British Journal of Cancer (2014)

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    Article

    Superconvergence and a posteriori error estimates of RT1 mixed methods for elliptic control problems with an integral constraint

    In this paper, we investigate the superconvergence property and a posteriori error estimates of mixed finite element methods for a linear elliptic control problem with an integral constraint. The state and co-...

    T. Hou in Numerical Analysis and Applications (2013)

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    Article

    Direct shoot regeneration from Arabidopsis thaliana shoot apical meristems

    In Arabidopsis thaliana in vitro culture, shoots were induced from the shoot apical meristem (SAM) of germinating seeds in the presence of 2,4-dichlorophenoxyacetic acid. Primary shoot primordia developed leaf-li...

    W. **n, Z. Liu, Y. Song, T. Hou, F. **ang in Biologia Plantarum (2012)

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    Article

    Error estimates and superconvergence of semidiscrete mixed methods for optimal control problems governed by hyperbolic equations

    In this paper, we investigate the L (L 2)-error estimates and superconvergence of the semidiscrete mixed finite elementmethods for quadratic optimal control proble...

    T. Hou in Numerical Analysis and Applications (2012)

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    Article

    Multiscale simulations of porous media flows in flow-based coordinate system

    In this paper, we propose a multiscale technique for the simulation of porous media flows in a flow-based coordinate system. A flow-based coordinate system allows us to simplify the scale interaction and deriv...

    Y. Efendiev, T. Hou, T. Strinopoulos in Computational Geosciences (2008)

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    Chapter and Conference Paper

    An Intelligent Signal Recognition System

    An automatic control system has to monitor and identify an environment status for decision making. Current pattern recognition algorithms assuming a Gaussian distribution in pattern data do not work very well ...

    T. Hou, L. Lin in CAD/CAM Robotics and Factories of the Future ’90 (1991)