Hao Li

collaborators

3 papers

math.NA2021

Accuracy of spectral element method for wave, parabolic and Schrödinger equations

Hao Li, Daniel Appelö, Xiangxiong Zhang

The spectral element method constructed by the $Q^{k}$ ( $k \geq 2$ ) continuous finite element method with $(k + 1)$ -point Gauss-Lobatto quadrature on rectangular meshes is a popular hig…

math.NA2019

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 $Q^{k}$ basis reduces to a finite difference scheme when all the integrals are replaced by the $(k + 1) \times (k + 1)$ Gaus…

math.NA2019

Superconvergence of $C^{0}$ - $Q^{k}$ finite element method for elliptic equations with approximated coefficients

Hao Li, Xiangxiong Zhang

We prove that the superconvergence of $C^{0}$ - $Q^{k}$ finite element method at the Gauss Lobatto quadrature points still holds if variable coefficients in an elliptic problem are repla…

Accuracy of spectral element method for wave, parabolic and Schrödinger equations

Superconvergence of high order finite difference schemes based on variational formulation for elliptic equations

Superconvergence of C0-Qk finite element method for elliptic equations with approximated coefficients

Superconvergence of $C^{0}$ - $Q^{k}$ finite element method for elliptic equations with approximated coefficients