### Publication

- L. Chen, R.H. Nochetto, and J. Xu.
*Multilevel methods on graded bisection grids*. Preprint. University of Maryland. 2007. - L. Chen and C-S. Zhang.
*A coarsening algorithm and multilevel methods on adaptive grids by newest vertex bisection*. Submitted. 2007. - L. Chen and C-S. Zhang.
*AFEM.at.matlab: a MATLAB package of Adaptive Finite Element Methods*. Technical Report. University of Maryland. 2006. - L. Chen.
*Short bisection implementation in MATLAB*. Submitted to International Workshop on Computational Science and its Education, 2006. - L. Chen and M.J. Holst.
*Mesh adaptation based on Optimal Delaunay Triangulations*. Preprint. University of California, San Diego. 2006. - L. Chen, M.J. Holst, and J. Xu.
*The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation*. Accepted by SIAM Journal on Numerical Analysis, 2006. - L. Chen,M.J. Holst, and J. Xu.
*Convergence and optimality of adaptive mixed finite element methods*. Submitted to Mathematics of Computation, 2006. - J. Jiang, S. Shu, Y. Huang, and L. Chen.
*A New Adaptive Mesh Method for Two Dimensional Heat Conduction Equations with Three Temperatures*. Chinese Journal of Computational Physics, 24(1), 19-28, 2007. - L. Chen and J. Xu.
*Stability and accuracy of adapted finite element methods for singularly perturbed problems*. Submitted to Numerische Mathematik, 2005. - L. Chen, P. Sun, and J. Xu.
*Optimal anisotropic simplicial meshes for minimizing interpolation errors in Lp-norm*. Mathematics of Computation, 76(257):179–204, 2007. - L. Chen and J. Xu.
*An optimal streamline diffusion finite element method for a singularly perturbed problem.*In AMS Contemporary Mathematics Series: Recent Advances in Adaptive Computation, volume 383, pages 236–246, Hangzhou, 2005. - L. Chen.
*Superconvergence of tetrahedral linear finite elements*. International Journal of Numerical Analysis and Modeling, 3(3):273–282, 2006. - L. Chen.
*New analysis of the sphere covering problems and optimal polytope approximation of convex bodies*. Journal of Approximation Theory, 133(1):134–145, 2005. - L. Chen, P. Sun, and J. Xu.
*Multilevel homotopic adaptive finite element methods for convection dominated problems*. In The Proceedings for 15th Conferences for Domain Decomposition Methods, Lecture Notes in Computational Science and Engineering 40, pages 459–468. Springer, 2004. - L. Chen.
*Mesh smoothing schemes based on optimal Delaunay triangulations*. In 13th International Meshing Roundtable, pages 109–120, Williamsburg, VA, 2004. Sandia National Laboratories. - L. Chen and J. Xu.
*Optimal Delaunay triangulations*. Journal of Computational Mathematics, 22(2):299–308, 2004.