3 papers
math.NA2026
A semi-implicit DLN Galerkin finite element method for coupled Ginzburg-Landau equations with general nonlinearity
Zhen Guan, Xianxian Cao, Junjun Wang
In this paper, based on the two-step discretization scheme proposed by Dahlquist, Liniger and Nevanlinna (DLN), we develop a semi-implicit Galerkin finite element method for solvin…
math.NA2025
A new analytical technique of the fully implicit Crank-Nicolson discontinuous Galerkin method for the Ginzburg-Landau Model
Xianxian Cao, Zhen Guan, Junjun Wang
In this paper, a fully implicit Crank-Nicolson discontinuous Galerkin method is proposed for solving the Ginzburg-Landau equation. By leveraging a novel analytical technique, we ri…
math.NA2025
Weighted implicit-explicit discontinuous Galerkin methods for two-dimensional Ginzburg-Landau equations on general meshes
Zhen Guan, Xianxian Cao
In this paper, a second-order linearized discontinuous Galerkin method on general meshes, which treats the backward differentiation formula of order two (BDF2) and Crank-Nicolson s…