Unconditional optimal error estimates for BDF2-FEM for a nonlinear Schrödinger equation
type: Item
instance of: scholarly article
title: Unconditional optimal error estimates for BDF2-FEM for a nonlinear Schrödinger equation
zbMATH Open document ID: 1377.65117
author: Wentao Cai
author: Jian Li
author: Zhangxin Chen
published in: Journal of Computational and Applied Mathematics
publication date: 2017-11-14T00:00:00Z
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 6806863
zbMATH Keywords: unconditional convergence
zbMATH Keywords: optimal error estimate
zbMATH Keywords: 2-step backward differentiation formula method
zbMATH Keywords: Galerkin finite element method
zbMATH Keywords: time-dependent Schrödinger equation
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: numerical experiment
describes a project that uses: FreeFem++
MaRDI profile type: Publication
full work available at URL: j.cam.2017.09.010
OpenAlex ID: W2759992807
cites work: Finite-difference solutions of a non-linear Schrödinger equation
cites work: Uniform error estimates of finite difference methods for the nonlinear Schrödinger equation with wave operator
cites work: On convergence and stability of a numerical scheme of coupled nonlinear Schrödinger equations
cites work: On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations
cites work: Optimal H1 Estimates for two Time-discrete Galerkin Approximations of a Nonlinear Schrödinger Equation
cites work: On the convergence of a linear two-step finite element method for the nonlinear Schrödinger equation
cites work: On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation
cites work: Analysis of finite element method for one-dimensional time-dependent Schrödinger equation on unbounded domain
cites work: Solution of the Schrödinger equation by a spectral method
cites work: Q4729251
cites work: Convergence Analysis of a Finite Element Projection/Lagrange--Galerkin Method for the Incompressible Navier--Stokes Equations
cites work: Linearly implicit finite element methods for the time-dependent Joule heating problem
cites work: The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data
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: Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system 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: Linearized FE Approximations to a Nonlinear Gradient Flow
cites work: Optimal error analysis of Crank-Nicolson schemes for a coupled nonlinear Schrödinger system in 3D
cites work: A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation
cites work: Unconditional convergence and optimal error estimates of the Euler semi-implicit scheme for a generalized nonlinear Schrödinger equation
cites work: Optimal Error Estimates of Linearized Crank-Nicolson Galerkin FEMs for the Time-Dependent Ginzburg--Landau Equations in Superconductivity
cites work: Unconditionally Optimal Error Estimates of a Crank--Nicolson Galerkin Method for the Nonlinear Thermistor Equations
cites work: Q3525855
cites work: Q4002473
cites work: On a Higher Order Accurate Fully Discrete Galerkin Approximation to the Navier-Stokes Equations
cites work: Efficient and long-time accurate second-order methods for the Stokes-Darcy system
cites work: Simple and efficient ALE methods with provable temporal accuracy up to fifth order for the Stokes equations on time varying domains
cites work: Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
cites work: A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier-Stokes equations
DOI: 10.1016/J.CAM.2017.09.010
description: scientific article; zbMATH DE number 6806863