1 citations · 1 across the 4 of their papers we have counts for
5 papers
Structure-preserving generalized transferable neural networks for the Cahn-Hilliard equation
Cao-Kha Doan, Thi-Thao-Phuong Hoang, Lili Ju +1
This paper is concerned with a structure-preserving neural network-based framework for the Cahn-Hilliard equation in mixed form. We employ generalized transferable neural networks…
Evo-GTransNet for Parabolic PDEs: A Fixed-Feature Galerkin Method of Lines with Quadrature-Mass Orthonormalization
Lili Ju, Jin Zhao
In this paper, we develop an evolutionary generalized transferable neural network (Evo-GTransNet) solver for parabolic partial differential equations, formulated as a retained-spac…
Fully discrete parameter-robust error analysis of a grad-div stabilized Crank-Nicolson artificial compressibility method for the Navier-Stokes equations
Feiyu Chen, Lili Ju, Rihui Lan +1
The artificial compressibility method (ACM) relaxes the incompressibility constraint in the Navier-Stokes equations by introducing a perturbation term proportional to the time deri…
Convergence analysis of the dynamically regularized Lagrange multiplier method for the incompressible Navier-Stokes equations
Cao-Kha Doan, Thi-Thao-Phuong Hoang, Lili Ju +1
This paper is concerned with temporal convergence analysis of the recently introduced Dynamically Regularized Lagrange Multiplier (DRLM) method for the incompressible Navier-Stokes…
Stabilized exponential time differencing schemes for the convective Allen-Cahn equation
Yongyong Cai, Lili Ju, Rihui Lan +1
The convective Allen-Cahn equation has been widely used to simulate multi-phase flows in many phase-field models. As a generalized form of the classic Allen-Cahn equation, the conv…