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Referred Journal Publications : Click on the title to open the corresponding pdf file. See YJ in Mathscinet.
- New Formulations, Positivity Preserving Discretizations and Stability
Analysis for non-Newtonian Flow models
with J. Xu, Comput. Methods Appl. Mech. Engrg. 195 (2006) 1180-1206
- On the convergence of iterative methods for semidefinite linear
systems
with J. Wu, J. Xu and L. Zikatanov, SIAM. J. Matrix. Anal. Appl.
28(3) (2006) 634-644
- Exact Artificial Boundary Conditions for Continuum and Discrete Elasticity
with S. Lee, and R.E. Caflisch, SIAM. J. Appl. Math. 66(5) 1749-1775
- An Application of Multigrid Methods for a Discrete Elastic
Model For Epitaxial Systems
with R.E. Caflisch, S. Shu, Y. Xiao and J. Xu, JCP, 219(2) (2006) 697-714.
- Robust Subspace Correction Methods for Nearly Singular Systems
with J. Wu, J. Xu and L. Zikatanov, M3AS 17(11), (2007) 1937-1963.
- A Sharp Convergence Estimate for the Method of Subspace Correction for Singular Systems
with J. Wu, J. Xu and L. Zikatanov, Math. Comp. 77(262) (2008) 831-850.
- Convergence Analysis on Iterative Methods for Semidefinite Systems
with J. Wu, J. Xu and L. Zikatanov, JCM 2008. (In press)
- Robust Multigrid Method for the Planar Linear Elasticity Problems
with J. Wu and J. Chen, Numer. Math. May, (2009)
- Optimal Capping Layer Thickness for Stacked Quantum Dots
with X.B. Niu, R.E. Caflisch and C. Ratsch, Physical Review Letters, 101 (2008)
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Uniform Stability Analysis of the Austin, Manteuffel and McCormick Finite Element and Fast and Robust Multigrid Methods for the Stokes-like Equations
NLAA (In press), (2009)
- Lateral alloy segregation in thin heteroepitaxial films
with J. Reich, X. Niu, R.E. Caflisch and C. Ratsch, PRB, vol 79. (2009).
- Self-sustaining oscillations of the falling sphere in some viscoelastic fluids
with C.-S. Zhang, Submitted (2009).
- Stable Finite Element Discretizations for Non-Newtonian Flow Models: Applications to Viscoelasticity
with J. Xu and C.-S. Zhang, Handbook of Numerical Analysis, Vol 16 (2011).
- On Stability, Accuracy, and Fast Solver for the Finite Element Approximations of Axisymmetric Stokes Problem by Hood-Taylor Elements
with H. Li, SIAM J. Numer. Anal 2011.
- Global Existence, Uniqueness and Optimal Solvers of Discretized Viscoelastic Flow Models
with J. Xu and C.-S. Zhang, M3AS (2011).
- On Boundary Conditions for Diffusive Complex Fluids
Models and the Stability of the MAC scheme
with K. Li, JNNFM, Submitted Sept (2010).
- Simulation of Self-Assembled Compositional Core-Shell Structures in InGaN Nanowires
with X. Niu, S. Fellow, F. Liu, ACS nano, Submitted Jan (2012).
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