2 citations · 2 across the 11 of their papers we have counts for
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Generalized skew-gradient embedding for thermodynamically consistent systems
Xuelong Gu, Qi Wang
The skew-gradient embedding (SGE) framework~\cite{GuWangSGE2025} reformulates a thermodynamically consistent system as a generalized gradient flow by embedding its zero-energy cont…
An Efficient Solver for the Richards Equation for Variably Saturated Flows in Porous Media
Xuelong Gu, Qi Wang
We present a nonlinear multigrid solver for the Richards equation in variably saturated porous media with strongly nonlinear hydraulic conductivity and water-retention relationship…
An Energy-Stable Implicit Convex-Splitting BDF2 Scheme for the Cahn-Hilliard-Navier-Stokes Equations
Xuelong Gu, Qi Wang
We develop an energy-stable implicit convex-splitting BDF2 discretization (CS-BDF2) of the Cahn--Hilliard--Navier--Stokes equations. For the Cahn--Hilliard equation, BDF2 analyses…
A Structure-Preserving PML-Domain-Embedding Method for Acoustic Wave Scattering by Moving Objects
Xuelong Gu, Qi Wang
We develop a structure-preserving computational framework for acoustic wave scattering by moving objects, comprising a new PML-domain-embedding model and a compatible numerical app…
Efficient Numerical Schemes for a Two-Phase Hydrodynamical Model of Active Liquid Crystals and Solids
Xuelong Gu, Guanghua Ji, Qi Wang
We propose several linear, fully decoupled numerical schemes with first- and second-order temporal accuracy for a novel Q-tensor-based two-phase hydrodynamic model describing the c…
Explicit and CPU/GPU parallel energy-preserving schemes for the Klein-Gordon-Schrödinger equations
Xuelong Gu, Yushun Wang, Ziyu Wu +2
A highly efficient energy-preserving scheme for univariate conservative or dissipative systems was recently proposed in [Comput. Methods Appl. Mech. Engrg. 425 (2024) 116938]. This…
A novel high-order linearly implicit and energy-stable additive Runge-Kutta methods for gradient flow models
Xuelong Gu, Wenjun Cai, Yushun Wang
This paper introduces a novel paradigm for constructing linearly implicit and high-order unconditionally energy-stable schemes for general gradient flows, utilizing the scalar auxi…
Energy stable and maximum bound principle preserving schemes for the Allen-Cahn equation based on the Saul'yev methods
Xuelong Gu, Yushun Wang, Wenjun Cai
The energy dissipation law and maximum bound principle are significant characteristics of the Allen-Chan equation. To preserve discrete counterpart of these properties, the linear…
Linearly implicit energy-preserving integrating factor methods for the 2D nonlinear Schrödinger equation with wave operator and convergence analysis
Xuelong Gu, Wenjun Cai, Chaolong Jiang +1
In this paper, we develop a novel class of linear energy-preserving integrating factor methods for the 2D nonlinear Schrödinger equation with wave operator (NLSW), combining the sc…
Efficient energy-preserving exponential integrators for multi-components Hamiltonian systems
X. Gu, C. Jiang, Y. Wang +1
In this paper, we develop a framework to construct energy-preserving methods for multi-components Hamiltonian systems, combining the exponential integrator and the partitioned aver…