5 papers
Long-time &-stability of the Family of DLN Methods for the Two-dimensional Incompressible Navier-Stokes Equations
Isabel Barrio Sanchez, Wenlong Pei, Catalin Trenchea
In this report, we study the long-time stability of the family of one-leg DLN methods for the two-dimensional incompressible Navier-Stokes equations. The family of DLN methods (wit…
Long-Time H1-Stability of the Cauchy One-Leg Theta-Method for the Navier-Stokes Equations
Isabel Barrio Sanchez, Catalin Trenchea, Wenlong Pei
In this paper we study the long-time stability of the Cauchy one-leg theta-methods for the two-dimensional NavierStokes equations. We establish the uniform dissipativity in H^1, in…
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…