3 papers
math.NA2025
Unconditionally Stable, Variable Step DLN Methods for the Allen-Cahn Active Fluid Model: A Divergence-free Preserving Approach
Nan Zheng, Wenlong Pei, Qingguang Guan +1
This paper addresses the divergence-free mixed finite element method (FEM) for nonlinear fourth-order Allen-Cahn phase field coupled active fluid equations. By introducing an auxil…
math.NA2025
A Divergence-free Preserving Mixed Finite Element Method for Thermally Driven Active Fluid Model
Nan Zheng, Qingguang Guan, Wenlong Pei +1
In this report, we propose a divergence-free preserving mixed finite element method (FEM) for the system of nonlinear fourth-order thermally driven active fluid equations. By intro…
math.NA2025
Divergence-free Preserving Mix Finite Element Methods for Fourth-order Active Fluid Model
Nan Zheng, Xu Guo, Wenlong Pei +1
This paper is concerned with mixed finite element method (FEM) for solving the two-dimensional, nonlinear fourth-order active fluid equations. By introducing an auxiliary variable…