Unconditional superconvergent analysis of a linearized finite element method for Ginzburg-Landau equation
type: Item
instance of: scholarly article
title: Unconditional superconvergent analysis of a linearized finite element method for Ginzburg-Landau equation
zbMATH Open document ID: 1427.35262
author: Qian Liu
author: Dongyang Shi
published in: Applied Numerical Mathematics
publication date: 2019-11-27T00:00:00Z
Mathematics Subject Classification ID: 35Q56
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 7137365
zbMATH Keywords: Ginzburg-Landau equation
zbMATH Keywords: linearized Galerkin FEM
zbMATH Keywords: unconditional superclose and superconvergent estimates
MaRDI profile type: Publication
full work available at URL: j.apnum.2019.08.023
OpenAlex ID: W2889087703
cites work: The world of the complex Ginzburg-Landau equation
cites work: Uniform and Optimal Error Estimates of an Exponential Wave Integrator Sine Pseudospectral Method for the Nonlinear Schrödinger Equation with Wave Operator
cites work: Explicitly uncoupled variational multiscale for characteristic finite element methods based on the unsteady Navier-Stokes equations with high Reynolds number
cites work: On the Time Splitting Spectral Method for the Complex Ginzburg–Landau Equation in the Large Time and Space Scale Limit
cites work: Low-dimensional behaviour in the complex Ginzburg-Landau equation
cites work: Weak and strong solutions of the complex Ginzburg-Landau equation
cites work: Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation
cites work: Optimal error analysis of Galerkin FEMs for nonlinear Joule heating equations
cites work: An efficient fully linearized semi-implicit Galerkin-mixed FEM for the dynamical Ginzburg-Landau equations of superconductivity
cites work: Asymptotics for the generalized two-dimensional Ginzburg-Landau equation
cites work: Dimension of the attractors associated to the Ginzburg-Landau partial differential equation
cites work: Characteristic finite element methods for nonlinear Sobolev equations
cites work: Finite dimensional behaviour for the derivative Ginzburg-Landau equation in two spatial dimensions
cites work: Stabilized finite element method based on the Crank--Nicolson extrapolation scheme for the time-dependent Navier--Stokes equations
cites work: Error Estimates of Splitting Galerkin Methods for Heat and Sweat Transport in Textile Materials
cites work: Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations
cites work: Unconditional convergence and optimal error estimates of a Galerkin-mixed FEM for incompressible miscible flow in porous media
cites work: A linear discrete scheme for the Ginzburg–Landau equation
cites work: Fourier spectral approximation to long-time behaviour of the derivative three-dimensional Ginzburg-Landau equation
cites work: Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation
cites work: Unconditional superconvergence analysis for nonlinear hyperbolic equation with nonconforming finite element
cites work: Superconvergence analysis of conforming finite element method for nonlinear Schrödinger equation
cites work: Unconditional superconvergence analysis of a new mixed finite element method for nonlinear Sobolev equation
cites work: Unconditional superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{rot}\) nonconforming finite element
cites work: A Meshless Method Using Radial Basis Functions for the Numerical Solution of Two-Dimensional Complex Ginzburg-Landau Equation
cites work: Unconditional stability and error estimates of modified characteristics FEMs for the Navier-Stokes equations
cites work: A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation
cites work: Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation
cites work: Difference methods for computing the Ginzburg-Landau equation in two dimensions
cites work: A linearized Crank-Nicolson-Galerkin FEM for the time-dependent Ginzburg-Landau equations under the temporal gauge
cites work: Convergence analysis of a linearized Crank-Nicolson scheme for the two-dimensional complex Ginzburg-Landau equation
Wikidata QID: Q127330515
DOI: 10.1016/J.APNUM.2019.08.023
description: scientific article; zbMATH DE number 7137365