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A Linearized and structure-preserving mixed virtual element method for the extended Fisher-Kolmogorov equation
Zhen Guan, Xianxian Cao, Houchao Zhang +1
In thsi paper, based on the leap-frog discretization in time and the mixed virtual element discretization in space, we developed a linearized and structure-preserving numerical alg…
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…
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…
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…