Publication

Please visit my new home page: http://math.uci.edu/~chenlong/

1. L. Chen, R.H. Nochetto, and J. Xu. Multilevel methods on graded bisection grids. Preprint. University of Maryland. 2007.
2. L. Chen and C-S. Zhang. A coarsening algorithm and multilevel methods on adaptive grids by newest vertex bisection. Submitted. 2007.
3. L. Chen and C-S. Zhang. AFEM.at.matlab: a MATLAB package of Adaptive Finite Element Methods. Technical Report. University of Maryland. 2006.
4. L. Chen. Short bisection implementation in MATLAB. Submitted to International Workshop on Computational Science and its Education, 2006.
5. L. Chen and M.J. Holst. Mesh adaptation based on Optimal Delaunay Triangulations. Preprint. University of California, San Diego. 2006.
6. 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.
7. L. Chen,M.J. Holst, and J. Xu. Convergence and optimality of adaptive mixed finite element methods. Submitted to Mathematics of Computation, 2006.
8. 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.
9. L. Chen and J. Xu. Stability and accuracy of adapted finite element methods for singularly perturbed problems. Submitted to Numerische Mathematik, 2005.
10. 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.
11. 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.
12. L. Chen. Superconvergence of tetrahedral linear finite elements. International Journal of Numerical Analysis and Modeling, 3(3):273–282, 2006.
13. 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.
14. 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.
15. L. Chen. Mesh smoothing schemes based on optimal Delaunay triangulations. In 13th International Meshing Roundtable, pages 109–120, Williamsburg, VA, 2004. Sandia National Laboratories.
16. L. Chen and J. Xu. Optimal Delaunay triangulations. Journal of Computational Mathematics, 22(2):299–308, 2004.