Hao Li

activity

20192023

most citedA high order accurate bound-preserving compact finite difference scheme for two-dimensional incompressible flow

10 citations · 18 across the 6 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.NA2019★ 3 cited

On the monotonicity and discrete maximum principle of the finite difference implementation of $C^{0}$ - $Q^{2}$ 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…

math.NA2019★ 4 cited

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…

On the monotonicity and discrete maximum principle of the finite difference implementation of C0-Q2 finite element method

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

On the monotonicity and discrete maximum principle of the finite difference implementation of $C^{0}$ - $Q^{2}$ finite element method

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