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20182022
most citedAdaptive First-Order System Least-Squares Finite Element Methods for Second Order Elliptic Equations in Non-Divergence Form

7 citations · 9 across the 4 of their papers we have counts for

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math.NA2022

Error estimates for the scalar auxiliary variable (SAV) scheme to the Cahn-Hilliard equation

Shu Ma, Weifeng Qiu, Xiaofeng Yang

The optimal error estimate that depending only on the polynomial degree of is established for the temporal semi-discrete scheme of the Cahn-Hilliard equation, w…

math.NA20212 cited

The pointwise stabilities of piecewise linear finite element method on non-obtuse tetrahedral meshes of nonconvex polyhedra

Huadong Gao, Weifeng Qiu

Let be a Lipschitz polyhedral (can be nonconvex) domain in , and denotes the finite element space of continuous piecewise linear polynomials. On non-obt…

math.NA2020

A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations

Huangxin Chen, Amiya K. Pani, Weifeng Qiu

In this paper, a new mixed finite element scheme using element-wise stabilization is introduced for the biharmonic equation with variable coefficient on Lipschitz polyhedral domain…

math.NA2020

Analysis of a semi-implicit structure-preserving finite element method for the nonstationary incompressible Magnetohydrodynamics equations

Weifeng Qiu, Ke Shi

We revise the structure-preserving finite element method in [K. Hu, Y. MA and J. Xu. (2017) Stable finite element methods preserving exactly for MHD mod…

math.NA20197 cited

Adaptive First-Order System Least-Squares Finite Element Methods for Second Order Elliptic Equations in Non-Divergence Form

Weifeng Qiu, Shun Zhang

This paper studies adaptive first-order least-squares finite element methods for second-order elliptic partial differential equations in non-divergence form. Unlike the classical f…

math.NA2018

Analysis of an interior penalty DG method for the quad-curl problem

Gang Chen, Weifeng Qiu, Liwei Xu

The quad-curl term is an essential part of the resistive magnetohydrodynamic (MHD) equation and the fourth order inverse electromagnetic scattering problem, which are both of great…