1 citations · 3 across the 7 of their papers we have counts for
7 papers
A linear unconditionally structure-preserving L1 scheme for the time-fractional Allen-Cahn equation
Dianming Hou, Zhonghua Qiao, Tao Tang
As a variational phase-field model, the time-fractional Allen-Cahn (TFAC) equation enjoys the maximum bound principle (MBP) and a variational energy dissipation law. In this work,…
Dynamic-stabilization-based linear schemes for the Allen-Cahn equation with degenerate mobility: MBP and energy stability
Hongfei Fu, Dianming Hou, Zhonghua Qiao +1
In this paper, we investigate linear first- and second-order numerical schemes for the Allen--Cahn equation with a general (possibly degenerate) mobility. Compared with existing nu…
Global-in-time energy stability analysis for the exponential time differencing Runge-Kutta scheme for the phase field crystal equation
Xiao Li, Zhonghua Qiao, Cheng Wang +1
The global-in-time energy estimate is derived for the second-order accurate exponential time differencing Runge-Kutta (ETDRK2) numerical scheme to the phase field crystal (PFC) equ…
A linear doubly stabilized Crank-Nicolson scheme for the Allen-Cahn equation with a general mobility
Dianming Hou, Zhonghua Qiao, Lili Ju
In this paper, a linear second order numerical scheme is developed and investigated for the Allen-Cahn equation with a general positive mobility. In particular, our fully discrete…
Energy-dissipative spectral renormalization exponential integrator method for gradient flow problems
Dianming Hou, Lili Ju, Zhonghua Qiao
In this paper, we present a novel spectral renormalization exponential integrator method for solving gradient flow problems. Our method is specifically designed to simultaneously s…
Energy stable and maximum bound principle preserving schemes for the Q-tensor flow of liquid crystals
Dianming Hou, Xiaoli Li, Zhonghua Qiao +1
In this paper, we propose two efficient fully-discrete schemes for Q-tensor flow of liquid crystals by using the first- and second-order stabilized exponential scalar auxiliary var…
A linear adaptive second-order backward differentiation formulation scheme for the phase field crystal equation
Dianming Hou, Zhonghua Qiao
In this paper, we present and analyze a linear fully discrete second order scheme with variable time steps for the phase field crystal equation. More precisely, we construct a line…