Browsing by Author "Du, Qiang"
Now showing 1 - 4 of 4
- Results Per Page
- Sort Options
Item Convergence of numerical approximations to a phase field bending elasticity model of membrane deformations(2006-03) Du, Qiang; Wang, XiaoqiangItem Finite volume methods on spheres and spherical centroidal Voronoi meshes(2003-04) Du, Qiang; Ju, LiliWe study in this paper a finite volume approximation of linear convection diffusion equations defined on a sphere using the spherical Voronoi meshes, in particular, the spherical centroidal Voronoi meshes. The high quality of spherical centroidal Voronoi meshes is illustrated through both theoretical analysis and computational experiments. In particular, we show that the L2 error of the approximate solution is of quadratic order when the underlying Voronoi mesh is given by a spherical centroidal Voronoi mesh. We also demonstrates numerically the high accuracy and the superconvergence of the approximate solutions.Item Modelling and simulations of multi-component lipid membranes and open membranes via diffusive interface approaches(2006-05) Wang, Xiaoqiang; Du, QiangItem On some PDF based moment closure approximations of micro-macro models for viscoelastic polymeric fluids(University of Minnesota. Institute for Mathematics and Its Applications, 2009-01) Hyon, Yunkyong; Du, Qiang; Liu, Chun