Kowloon Tong, Hong Kong

Variational Principles in Mechanics, Computational Mechanics,

Finite Element Methods, Problem Solving Environment, Numerical Software

- Z.N. Zhu and W.M. Xue,
*Two new integrable lattice systems associated with a discrete Schödinger nonisospectral problem and their infinitely many conservation laws*, Physics Letter A, 320, (2004), pp. 396-407. - X.B. Hu and W.M. Xue,
*A bilinear Bäcklund transformation and nonlinear superposition formula for the negative Volterra hierarchy*, J. Physics Society of Japan, 72 (12), (2003). - Y.Q. Huang, Z.C. Shi, T. Tang and W.M. Xue,
*Multilevel successive iteration methods for ellilptic problems*, Mathematics of Computation, 73 (246), (2003), pp.525-539. - Y.B. Zeng, Y.J. Shao and W.M. Xue,
*Positon solutions of the KdV equation with self-consistent sources*, Theoretical and Mathematical Physics, 137 (2), (2003), pp. 1621-1630. - X.N. Wu and W.M. Xue,
*Discrete boundary conditions for elasticity problems with singularities*, Comput. Methods Appl. Mech. Engrg., 192, (2003), pp. 3777-3795. - Y.B. Zeng, Y.J. Shao and W.M. Xue,
*Negaton and positon solutions of the soliton equation with self-consistent sources*, J. Phys. A: Math. Gen., 36, (2003), pp. 5035-5043. - X.L. Cheng and W.M. Xue,
*Linear finite element approximations for the Timoshenko Beam and the shallow arch*, J. Computational Mathematics, 20 (1), (2002), pp. 15-22. - Y.Q. Huang and W.M. Xue,
*Convergence of finite element approximations and multilevel linearization for Ginzburg-Landau model of D-wave superconductors*, Adv. Comput. Math., 17, (2002), pp. 5035-5043. - W.M. Xue, Z.N. Zhu and Q. Ding,
*Integrable lattice systems associated with a higher order discrete spectral problem and their integrable discretizations*, Chinese J. of Physics, 40 (6), (2002), pp. 605-615. - T. Tang, W.M. Xue and P.-W. Zhang,
*Analysis of moving mesh methods based on geoemtrical variables*, J. Comput. Math., 19 (1) (2001), pp. 41-54. - G.L. Xue, C.L. Bajaj and W.M. Xue,
*Regular algebraic curve segment (I) definition and characterestics*, Computer Aided Geometric Design, 17, (2000), pp. 485-501. - Y.C. Hon, M.W. Lu, W.M. Xue and X. Zhou,
*A new formulation and computation of the triphasic model for mechano-electrochemical mixture*, Comput. Mech., 24, (1999), pp. 155-165. - W.M. Xue and S.N. Atluri,
*Mathematical aspects of the general Hybrid-mixed finite methods and singular-value principle*, Computational Mechanics, 22 (1999), pp. 450-462. - Z.N. Zhu, H.C. Huang, and W.M. Xue,
*New Lax representation and integrable discretization of the relativistic Volterra lattice*, J. Physical Society of Japan, 68, 3 (1999), pp. 771-775. - Z.C. Shi, B. Jiang and W.M. Xue,
*A new superconvergence property of Wilson nonconforming finite element*, Numer. Math., 78 (1997), pp.259-268. - Z.N. Zhu, H.C. Huang, W.M. Xue and X.N.
Wu,
*The bi-Hamiltonian structure of some**new Lax integrable hierarchies associated with 3*x*matrix spectral problems*, Phys. Lett. A, 235 (1997), pp.227-232. - W.M. Xue, L.A. Karlovitz and S.N. Atluri,
*On the existence and stability conditions for mixed-hybrid element solutions based on Reissner's variational principle*, Int. J. Solids Structures, 21, (1985), pp. 97-116.