67 citations · 864 across the 63 of their papers we have counts for
6 papers · 1 filter
On the mesh nonsingularity of the moving mesh PDE method
Weizhang Huang, Lennard Kamenski
The moving mesh PDE (MMPDE) method for variational mesh generation and adaptation is studied theoretically at the discrete level, in particular the nonsingularity of the obtained m…
A hybrid LDG-HWENO scheme for KdV-type equations
Dongmi Luo, Weizhang Huang, Jianxian Qiu
A hybrid LDG-HWENO scheme is proposed for the numerical solution of KdV-type partial differential equations. It evolves the cell averages of the physical solution and its moments (…
Anisotropic mesh adaptation for 3D anisotropic diffusion problems with application to fractured reservoir simulation
Xianping Li, Weizhang Huang
Anisotropic mesh adaptation is studied for linear finite element solution of 3D anisotropic diffusion problems. The M-uniform mesh approach is used, where an anisotropic adaptive m…
Anisotropic mesh quality measures and adaptation for polygonal meshes
Weizhang Huang, Yanqiu Wang
Anisotropic mesh quality measures and anisotropic mesh adaptation are studied for polygonal meshes. Three sets of alignment and equidistribution measures are developed, one based o…
Monotone finite difference schemes for anisotropic diffusion problems via nonnegative directional splittings
Cuong Ngo, Weizhang Huang
Nonnegative directional splittings of anisotropic diffusion operators in the divergence form are investigated. Conditions are established for nonnegative directional splittings to…
A comparative numerical study of meshing functionals for variational mesh adaptation
Weizhang Huang, Lennard Kamenski, Robert D. Russell
We present a comparative numerical study for three functionals used for variational mesh adaptation. One of them is a generalisation of Winslow's variable diffusion functional whil…