A multi-mesh adaptive finite element approximation to phase field models (2009)
Hu, Xianliang, Li, Ruo, Tang, Tao
In this work, we propose an efficient multi-mesh adaptive finite element method for simulating the dendritic growth in two- and three-dimensions. The governing equations used are the phase field...
Changes in benthic algal communities following construction of a run-of-river dam (2009)
Naicheng Wu, Tao Tang, Shuchan Zhou, Xinghuan Jia, Daofeng Li, Ruiqiu Liu, ...
Ecological responses to dam construction are poorly understood, especially for downstream benthic algal communities. We examined the responses of benthic algal communities in downstream reaches of a...
Jinfu Yang, Tao Tang, Feng Li, Wenwu Zhou, Jian Liu, Zhiping Tan, ...
Objective. To construct the eukaryotic expression vector hypoxia-inducible factor 1α-pcDNA3.1 and to investigate its transfective efficiency into mesenchymal stem cells (MSCs) in vitro and the...
Jinfu Yang, Tao Tang, Feng Li, Wenwu Zhou, Jian Liu, Zhiping Tan, ...
Objective. To construct the eukaryotic expression vector hypoxia-inducible factor 1α-pcDNA3.1 and to investigate its transfective efficiency into mesenchymal stem cells (MSCs) in vitro and the...
A MULTILEVEL SUCCESSIVE ITERATION METHOD FOR NONLINEAR ELLIPTIC PROBLEMS (2008)
Yunqing Huang, Zhongci Shi, Tao Tang, Weimin Xue
Abstract. In this paper, a multilevel successive iteration method for solving nonlinear elliptic problems is proposed by combining a multilevel linearization technique and the cascadic multigrid...
Contemporary Mathematics Moving Mesh Methods for Computational Fluid Dynamics (2008)
Abstract. In this paper we will discuss a class of adaptive grid methods called moving mesh method (MMM). Some recent progress of the moving mesh methods will be reviewed. In particular, we review...
MOVING MESH METHODS FOR SINGULAR PROBLEMS ON A SPHERE USING PERTURBED HARMONIC MAPPINGS ∗ (2008)
Yana Di, Ruo Li, Tao Tang, Pingwen Zhang
Abstract. This work is concerned with developing moving mesh strategies for solving problems defined on a sphere. To construct mappings between the physical domain and the logical domain, it has been...
Ming L, Tao Tang, Bengt Fornberg
We note in this study that the Navier-Stokes equations, when expressed in streamfunction-vorticity fonn, can be approximated to fourth--order accuracy with stencils extending only over a 3 x 3 square...
Tang, Tao, Muneta, Takeshi, Ju, Young-Jin, Nimura, Akimoto, Miyazaki, Kyosuke, Masuda, Hiroyuki, ...
Abstract Introduction Osteoarthritis is influenced by genetic and environment factors, including mechanical stress; however, the relationship between running and the development of osteoarthritis...
CONVERGENCE ANALYSIS OF RELAXATION SCHEMES FOR CONSERVATION LAWS WITH STIFF SOURCE TERMS (2007)
Abstract. We analyze the convergence for relaxation approximation applied to conservation laws with stiff source terms. We suppose that the source term q(u) is dissipative. Semi-implicit relaxing...
Wenbin Liu, Heping Ma, Tao Tang
Abstract. In this paper, we establish sharp error estimates of residual type for finite element approximation to elliptic obstacle problems. The estimates are of mixed nature, which are neither of a...
MOVING MESH FINITE ELEMENT METHODS BASED ON HARMONIC MAPS (2007)
Wenbin Liu, Tao Tang, Pingwen Zhang
Abstract. This paper is devoted to the applications of a class of moving mesh finite element methods based on harmonic maps. We review some recent work of the authors on solving PDES, variational...
In this paper we address the questions of the convergence rate for approximate solutions to conservation laws with piecewise smooth solutions in a weighted W 1;1 space. Convergence rate for the...
The Sharpness Of Kuznetsov's (2007)
Gammap Deltax, Tao Tang, Zhen-huan Teng
. We derive a lower error bound for monotone difference schemes to the solution of the linear advection equation with BV initial data. A rigorous analysis shows that for any monotone difference...
Adaptive Methods for Singular Perturbation Problems (2007)
this paper is to investigate efficient methods which can handle more difficult problems. In Section 2, we discuss some methods for solving boundary layer problems. We begin with a quite well known...
Error Analysis For Boundary Layer Resolving Galerkin-Spectral Method (2007)
. In this paper, we investigate a Galerkin-spectral method, which employs coordinate stretching and a new class of trail functions, for solving the singularly perturbed boundary value problems. An...
Convergence of MUSCL Relaxing Schemes for Conservation Laws with Stiff Source Terms (2007)
We consider the convergence and stability property of MUSCL relaxing schemes applied to conservation laws with stiff source terms. The maximum principle for the numerical schemes will be established....
On Numerical Entropy Inequalities for Second Order Relaxed Schemes (2007)
Huazhong Tang, Tao Tang, Jinghua Wang
We show that the second order relaxed schemes, as the zero relaxation limit of relaxing schemes, proposed by Jin and Xin [4], satisfy all the numerical entropy inequalities. Total variational...
On The Piecewisely Smooth Solutions To Non-Homogeneous Scalar Conservation Laws (2007)
Yan-xiang Kan, Tao Tang, Zhen-Huan Teng
. We study the structure and smoothness of non-homogeneous convex conservation laws. We address the question regarding the number of smoothness pieces. We show that under certain conditions on the...
A moving mesh algorithm for one-dimensional nonlinear hyperbolic conservation laws
To investigate the finite time singularity in three-dimensional (3D) Euler flows, the simplified model of 3D axisymmetric incompressible fluids (i.e., two-dimensional Boussinesq approximation...
Xi Li, He-Sheng Luo, Shelley C. Paul, Tao Tang, Guang-Jin Yuan
The regulation of glucose and sodium butyrate transporters(glucose transporter1-5 and Monocarboxylate transporter 1) and their relationship with cell apoptosis induced bysodium butyrate in colonic...
Yana Di, Ruo Li, Tao Tang, Pingwen Zhang
set calculations for incompressible two-phase
Moving Mesh Methods for Singular Problems on a Sphere Using Perturbed Harmonic Mappings (2006)
Yana Di, Ruo Li, Tao Tang, Pingwen Zhang
This work is concerned with developing moving mesh strategies for solving problems defined on a sphere. To construct mappings between the physical domain and the logical domain, it has been...
Yana Di, Ruo Li, Tao Tang, Pingwen Zhang
set calculations for incompressible two-phase
Two-dimensional Boussinesq convection is studied numerically with very fine spatial resolutions up to 4096^2. Our numerical study starts with a smooth asymmetric initial condition, which is chosen to...
A novel parallel technique for Fourier-Galerkin pseudo-spectral methods with applications to two-dimensional Navier-Stokes equations and inviscid Boussinesq approximation equations is presented. It...
In this paper, a moving mesh discontinuous Galerkin (DG) method is developed to solve the nonlinear conservation laws. In the mesh adaptation part, two issues have received much attention. One is...
Moving Mesh Discontinuous Galerkin Method for Hyperbolic Conservation Laws (2004)
In this paper, a moving mesh discontinuous Galerkin (DG) method is developed to solve the nonlinear conservation laws. In the mesh adaptation part, two issues have received much attention. One is...
Adaptive Mesh Redistibution Method Based on Godunov's Scheme (2003)
Azarenok, Boris N., Ivanenko, Sergey A., Tang, Tao
In this work, a detailed description for an efficent adaptive mesh redistribution algorithm based on the Godunov's scheme is presented. After each mesh iteration a second-order finite-volume flow...
Numerical Challenges for Resolving Spike Dynamics for Two Reaction-Diffusion Systems (2003)
Wentao Sun, Tao Tang, Michael J. Ward, Juncheng Wei
Asymptotic and numerical methods are used to highlight dierent types of dynamical behaviors that occur for the motion of a localized spike-type solution to the singularly perturbed Gierer-Meinhardt...
Combined Hermite Spectral-Finite Difference Method for the Fokker-Planck Equations (2002)
In this paper, combined Hermite spectral-finite methods are proposed for numerical solution of the Fokker-Planck equation. The related physical problems are posed in a phase plane (x, v) with bounded...
Wentao Sun, Tao Tang, Michael J. Ward, Juncheng Wei
Asymptotic and numerical methods are used to highlight different types of dynamical behaviors that occur for the motion of a localized spike-type solution to the singularly perturbed Gierer-Meinhardt...
Web-based simulation of microelectronic devices and framework design /--by Tao Tang. (2001)
Photocopy of typescript.
Moving Mesh Methods In Multiple Dimensions Based On Harmonic Maps (2000)
Ruo Li, Tao Tang, Pingwen Zhang
. In practice, there are three types of adaptive methods using finite element approach, namely h-method, p-method, and r-method. In the h-method, the overall method contains two parts, a solution...
. Finite element schemes loose accuracy when approximating a class of variational inequalities, elliptic obstacle problems, due to the existence of free boundaries. In this paper, moving mesh finite...
Pseudospectral Solutions for Steady Motion of a Viscous Fluid Inside a Circular Boundary (2000)
Numerical solutions are presented for steady two-dimensional motion within a circular cylinder generated by fluid injecting radially over one small arc and ejecting radially over another arc. These...
Pointwise Convergence Rate for Nonlinear Conservation Laws (1999)
. We introduce a new method to obtain pointwise error estimates for vanishing viscosity and finite difference approximations of scalar conservation laws with piecewise smooth solutions. This method...
Pointwise error estimates for relaxation approximations to conservation laws, preprint (1998)
Eitan Tadmor, Tao Tang, Error Estimates
We obtain sharp pointwise error estimates for relaxation approximation to scalar conservation laws with piecewise smooth solutions. We first prove that the first order partial derivatives for the...
Pointwise error estimates for relaxation approximations to conservation laws, preprint (1998)
Abstract. We obtain sharp pointwise error estimates for relaxation approximation to scalar conservation laws with piecewise smooth solutions. We first prove that the first-order partial derivatives...
Pointwise Error Estimates for Relaxation Approximations to Conservation Laws (1998)
Eitan Tadmor, Tao Tang, Error Estimates
We obtain sharp pointwise error estimates for relaxation approximation to scalar conservation laws with piecewise smooth solutions. We first prove that the first order partial derivatives for the...
.<F3.818e+05> We analyze the order of convergence for operator splitting methods applied to conservation laws with sti# source terms. We suppose that the source...
Viscosity methods for piecewise smooth solutions to scalar conservation laws (1997)
Abstract. It is proved that for scalar conservation laws, if the flux function is strictly convex, and if the entropy solution is piecewise smooth with finitely many discontinuities (which includes...
We analyze the order of convergence for operator splitting methods applied to conservation laws with stiff source terms. We suppose that the source term q(u) is dissipative. It is proved that the L 1...
Andreas Karageorghis, Tao Tang
In this study, a spectral collocation domain decomposition method is developed for the numerical solution of second and fourth order problems in circular domains. The method is applied to the...
We analyze the order of convergence for operator splitting methods applied to conservation laws with stiff source terms. We suppose that the source term q(u) is dissipative. It is proved that the L 1...
Error Bounds For Fractional Step Methods For Conservation Laws With Source Terms (1995)
. Fractional step methods have been used to approximate solutions of scalar conservation laws with source terms. In this paper, the stability and accuracy of the basic fractional step algorithms are...
Viscosity Methods For Piecewise Smooth Solutions To Scalar Conservation Laws (1995)
. It is proved that for scalar conservation laws, if the flux function is strictly convex, and if the entropy solution is piecewise smooth with finitely many discontinuities (which includes initial...
Differential role of the endothelium in regulating microvascular blood flow / (1994)
Thesis (Ph. D.)--East Tennessee State University, 1994.
Boundary Layer Resolving Pseudospectral Methods For Singular Perturbation Problems (1993)
Pseudospectral methods are investigated for singularly perturbed boundary value problems for ordinary differential equations which possess boundary layers. It is well known that if the boundary layer...
Boundary Layer Resolving Pseudospectral Methods For Singular Perturbation Problems (1993)
Tao Tang Manfred, Tao Tang, R. Trummer
. Pseudospectral methods are investigated for singularly perturbed boundary value problems for ordinary differential equations which possess boundary layers. It is well known that if the boundary...
Spline collocation methods can be used to solve Volterra integro-differential equations with weakly singular kernels. In order to obtain optimal convergence behavior, collocation on suitably graded...
"Melancholy" and "emptiness" in seventeen poems of Yu Xuanji (844?-868?) / (1992)
Thesis (M.A.)--University of Colorado, 1992.
Numerical solutions of the Navier-Stokes equations [microform] / (1989)
Thesis (doctoral)--University of Leeds, 1989.
Coxon, Angela, Tang, Tao, Mayadas, Tanya N.
The activation of endothelium is important in recruiting neutrophils to sites of inflammation and in modulating their function. We demonstrate that conditioned medium from cultured, activated...
Tang, Tao, Rosenkranz, Alexander, Assmann, Karel J.M., Goodman, Michael J., Gutierrez-Ramos, Jose-Carlos, Carroll, Michael C., ...
Mac-1 (αmβ2), a leukocyte adhesion receptor, has been shown in vitro to functionally interact with Fcγ receptors to facilitate immune complex (IC)–stimulated polymorphonuclear neutrophil (PMN)...
Tang, Tao, Muneta, Takeshi, Ju, Young-Jin, Nimura, Akimoto, Miyazaki, Kyosuke, Masuda, Hiroyuki, ...
Pointwise Error Estimates for Scalar Conservation Laws With Piecewise Smooth Solutions
We introduce a new approach to obtain sharp pointwise error estimates for viscosity approximation (and in fact --- more general approximations) to scalar conservation laws with piecewise smooth...
Gas-Kinetic Schemes for the Compressible Euler Equations I: Positivity-Preserving Analysis
Numerical schemes based on the collisional BGK model have been developed in recent years. In this paper, we investigate the first-order BGK schemes for the Euler equations. Particular attention is...
Pointwise Error Estimates for Scalar Conservation Laws With Piecewise Smooth Solutions
We introduce a new approach to obtain sharp pointwise error estimates for viscosity approximation (and in fact --- more general approximations) to scalar conservation laws with piecewise smooth...
Pointwise Error Estimates for Scalar Conservation Laws With Piecewise Smooth Solutions
We introduce a new approach to obtain sharp pointwise error estimates for viscosity approximation (and in fact --- more general approximations) to scalar conservation laws with piecewise smooth...
Yang, Jinfu, Tang, Tao, Li, Feng, Zhou, Wenwu, Liu, Jian, Tan, Zhiping, ...
Objective. To construct the eukaryotic expression vector hypoxia-inducible factor 1α-pcDNA3.1 and to investigate its transfective efficiency into mesenchymal stem cells (MSCs) in vitro and the...