Moving Mesh Methods

Adaptive moving grid methods for two-phase flow in porous media
H. Dong, Z. Qiao, S. Sun and T. Tang ..... J. Comput. App. Math., 265 (2014), pp. 139-150. (pdf)

Simulating two-phase viscoelastic flows using moving finite element methods
Y. Zhang, H. Wang and T. Tang ..... Commun. Comput. Phys. 7 (2010), 333-349. (pdf)

A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows
Y. Di, R. Li and T. Tang ..... Commun. Comput. Phys., 3 (2008), pp. 582-602. (pdf)

Efficient computation of dentritic growth with r-adaptive finite element methods
H. Wang, R. Li and T. Tang ..... J. Comput. Phys., 227 (2008), pp. 5984-6000. (pdf)

Resolving the shock-induced combustion by an adaptive mesh redistribution method
L. Yuan and T. Tang ..... J. Comput. Phys., 224 (2007) 587-600. (pdf)

Level set calculations for incompressible two-phase flows on a dynamically adaptive grid
Y. Di, R. Li, T. Tang and P. Zhang ..... J. Sci. Comput., 31 (2007) 75-98. (pdf)

Moving mesh methods for singular problems on a sphere using perturbed harmonic mappings
Y. Di, R. Li, T. Tang and P. Zhang ..... SIAM J. Sci. Comput., 28 (2006), pp. 1490-1508. (pdf)

Moving Mesh Discontinuous Galerkin Method for Hyperbolic Conservation Laws
Ruo Li and T. Tang ..... J. Sci. Comput., 27 (2006), pp. 347-363. (pdf)

A simple moving mesh method for one- and two-dimensional phase-field equations
Z.-J. Tang, T. Tang and Z. R. Zhang ..... J. Comput. Appl. Math., 190 (2006), pp. 252-269. (pdf)

Resolving small-scale structures in Boussinesq convection by adaptive grid methods
Zhengru Zhang and T. Tang ..... J. Comput. Appl. Math., 195 (2006), pp. 274-291. (pdf)

Second-order Godunov-type scheme for reactive flow calculations on moving meshes
Boris N. Azarenok and T. Tang ..... J. Comput. Phys., 206 (2005), pp. 48-80. (pdf)

Moving mesh finite element methods for the incompressible Navier-Stokes equations
Y. Di, R. Li, T. Tang and P. Zhang ..... SIAM J. Sci. Comput., 26 (2005), pp. 1036-1056. (pdf)

Moving Mesh Methods for Computational Fluid Dynamics
T. Tang ..... Contemporary Mathematics, vol. 383, AMS, 2005. (pdf)

A posteriori error estimates for discontinuous Galerkin time-stepping method for optimal control problems governed by parabolic equations.
W. Liu, H. Ma, T. Tang and N. Yan. ..... SIAM J. Numer. Anal., 12 (2004), pp. 1032-1061. (pdf)

Moving mesh methods with locally varying time steps.
Z.-J. Tan, Z.-R. Zhang, Y.-Q. Huang and T. Tang. ..... J. Comput. Phys., 200 (2004), pp. 347-367. (pdf)

Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws.
H.-Z. Tang and T. Tang. ..... SIAM J. Numer. Anal., 41 (2003), pp. 487-515. (ps.gz) (pdf)

An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three-dimensions.
H.-Z. Tang, T. Tang and P.-W. Zhang ..... J. Comput. Phys., 188/2 (2003), pp. 543-572. (pdf)

Numerical challenges for resolving spike dynamics for two one-dimensional reaction-diffusion systems
W. Sun, T. Tang, Michael J. Ward, and J. Wei ..... Stud. Appl. Math., 111 (2003), pp. 41-84. (pdf)

Adaptive mesh redistribution method based on Godunov's scheme
Boris N. Azarenok, Sergey A. Ivanenko and T. Tang ..... Comm. in Math. Sci, 1 (2003), pp. 152-179 (ps), (pdf)

An adaptive mesh redistribution algorithm for convection-dominated problems.
Z. Zhang and T. Tang ..... Comm. Pure Appl. Anal., 1 (2002), pp. 341-357. (pdf)

Moving mesh methods in multiple dimensions based on harmonic maps.
R. Li, T. Tang and P.-W. Zhang ..... J. Comput. Phys., 170 (2001), pp. 562-588. (pdf)

A moving mesh finite element algorithm for singular problems in two and three space dimensions.
R. Li, T. Tang and P.-W. Zhang ..... J. Comput. Phys., 177 (2002), pp. 365-393. (pdf)

Adaptive finite element approximation for distributed elliptic optimal control problems.
R. Li, W.-B. Liu, H.-P. Ma and T. Tang. ..... SIAM J. Control and Optimization, 41 (2002), pp. 1321-1349. (ps.gz), (pdf)

On mixed error estimates for elliptic obstacle problems.
W.B. Liu, H. P. Ma and T. Tang ..... Adv. of Comput. Math., 15 (2001), pp. 261-283. (ps)

Analysis of moving mesh methods based on geometrical variables.
T. Tang, W. M. Xue and P. W. Zhang. J. of Comput. Math., 19(2001), pp. 41-54. (ps)

Moving Mesh Finite Element Methods Based on Harmonic Maps.
R. Li, W.-B. Liu, T. Tang and P.-W. Zhang. Proc. of 2nd Intl. Workshop on Sci. Comput. and Appl. (P. Minev and Y. Lin eds), 2001, pp. 143-156. (ps)

Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution:
analysis of convergence.

Y. Qiu, D. Sloan and T. Tang ..... J. Comput. Appl. Math., 116 (2000), pp. 121-143. (ps)