4 papers
A Coupled Conforming-Nonconforming Galerkin Method for Poisson's Equation on Curved Domains
Qingguang Guan, Wenju Zhao
A coupled conforming-nonconforming Galerkin method is proposed for Poisson's equation on two-dimensional curved domains. The method applies a weak Galerkin discretization only on a…
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…
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…
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…