Wujun Zhang

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Machine Type Communication (MTC) and its related services have become the new business growth-point of mobile communication. However, application market with the size of about a hundred of million makes end-to-end security facing grand challenges, especially the repeated construction of authentication facilities for different applications. According to(More)
We consider the simplest one-constant model, put forward by J. Ericksen, for nematic liquid crystals with variable degree of orientation. The equilibrium state is described by a director field n and its degree of orientation s, where the pair (s, n) minimizes a sum of Frank-like energies and a double well potential. In particular, the Euler-Lagrange(More)
We design a two-scale finite element method (FEM) for linear elliptic PDEs in non-divergence form A(x) : D 2 u(x) = f (x). The fine scale is given by the meshsize h whereas the coarse scale is dictated by an integro-differential approximation of the PDE. We show that the FEM satisfies the discrete maximum principle (DMP) for any uniformly positive definite(More)
We propose a new a posteriori error analysis of the variable-degree, hybridized version of the Raviart-Thomas method for second-order elliptic problems on conforming meshes made of simplexes. We establish both the reliability and efficiency of the estimator for the L2-norm of the error of the flux. We also find the explicit dependence of the estimator on(More)