10 citations · 18 across the 6 of their papers we have counts for
6 papers
A high order accurate bound-preserving compact finite difference scheme for two-dimensional incompressible flow
Hao Li, Xiangxiong Zhang
For solving two-dimensional incompressible flow in the vorticity form by the fourth-order compact finite difference scheme and explicit strong stability preserving (SSP) temporal d…
A monotone finite element method for anisotropic elliptic equations
Hao Li, Xiangxiong Zhang
We construct a monotone continuous finite element method on the uniform mesh for the anisotropic diffusion problem with a diagonally dominant diffusion coefficient matrix. Th…
Accuracy of spectral element method for wave, parabolic and Schrödinger equations
Hao Li, Daniel Appelö, Xiangxiong Zhang
The spectral element method constructed by the () continuous finite element method with -point Gauss-Lobatto quadrature on rectangular meshes is a popular hig…
On the monotonicity and discrete maximum principle of the finite difference implementation of - finite element method
Hao Li, Xiangxiong Zhang
We show that the fourth order accurate finite difference implementation of continuous finite element method with tensor product of quadratic polynomial basis is monotone thus satis…
Superconvergence of high order finite difference schemes based on variational formulation for elliptic equations
Hao Li, Xiangxiong Zhang
The classical continuous finite element method with Lagrangian basis reduces to a finite difference scheme when all the integrals are replaced by the Gaus…
Superconvergence of - finite element method for elliptic equations with approximated coefficients
Hao Li, Xiangxiong Zhang
We prove that the superconvergence of - finite element method at the Gauss Lobatto quadrature points still holds if variable coefficients in an elliptic problem are repla…