A new error analysis of backward Euler Galerkin finite element method for two-dimensional time-dependent Ginzburg-Landau equation

DOI10.1016/J.AML.2023.108767OpenAlexW4382073794MaRDI QIDQ6170078

Huaijun Yang

Publication date: 15 August 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108767

zbMATH Keywords

time-dependent Ginzburg-Landau equationbackward Euler Galerkin FEMunconditionally optimal \(L^2\) error estimate

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)

Cites Work

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• Unconditional error analysis of a linearized BDF2 virtual element method for nonlinear Ginzburg-Landau equation with variable time step
• Unconditional superconvergence analysis of a linearized Crank-Nicolson Galerkin FEM for generalized Ginzburg-Landau equation
• Superconvergence analysis of a two grid finite element method for Ginzburg-Landau equation
• Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media
• Convergence analysis of a linearized Crank-Nicolson scheme for the two-dimensional complex Ginzburg-Landau equation
• Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations
• Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation
• Unconditional superconvergent analysis of a new mixed finite element method for Ginzburg–Landau equation
• Unconditional Superconvergence Analysis of an H¹-Galerkin Mixed Finite Element Method for Two-Dimensional Ginzburg-Landau Equation
• A three‐level linearized compact difference scheme for the Ginzburg–Landau equation
• The Mathematical Theory of Finite Element Methods

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