3 papers
math.NA2026
GradAgent: A Knowledge-Guided Multi-Agent System for Structure-Preserving Gradient-Flow Computation with an Application to Multicomponent Vesicle Dynamics
Zhenlin Guo, Jiale Meng, Shuqi Tang +4
High-order differential operators and nonlinear coupling make it challenging to construct conservative and energy-stable schemes for coupled gradient-flow systems. We present GradA…
math.NA2026
A novel energy-conservation Crank-Nicolson finite element method for generalized Klein-Gordon-Zakharov equations
Xuemiao Xu, Maosheng Jiang, Jiansong Zhang +1
This article focuses on an energy-conservation Galerkin finite element method (FEM) for the generalized Klein-Gordon-Zakharov (KGZ) equations. This method combines the bilinear fin…
physics.flu-dyn2024
A Thermodynamically Consistent Phase-Field Model and an Entropy Stable Numerical Method for Simulating Two-Phase Flows with Thermocapillary Effects
Yanxiao Sun, Jiang Wu, Maosheng Jiang +2
In this study, we have derived a thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects. This model accommodates variations in physical pro…