Unconditional optimal error estimates for BDF2-FEM for a nonlinear Schrödinger equation (Q1678108)

scientific article; zbMATH DE number 6806863

Language	Label	Description	Also known as
English	Unconditional optimal error estimates for BDF2-FEM for a nonlinear Schrödinger equation	scientific article; zbMATH DE number 6806863

Statements

instance of

scholarly article

0 references

title

Unconditional optimal error estimates for BDF2-FEM for a nonlinear Schrödinger equation (English)

0 references

0 references

0 references

0 references

Journal of Computational and Applied Mathematics

0 references

publication date

14 November 2017

0 references

zbMATH Keywords

unconditional convergence

0 references

optimal error estimate

0 references

2-step backward differentiation formula method

0 references

Galerkin finite element method

0 references

time-dependent Schrödinger equation

0 references

nonlinear Schrödinger equation

0 references

numerical experiment

0 references

describes a project that uses

FreeFem++

0 references

MaRDI profile type

Publication

0 references

full work available at URL

https://doi.org/10.1016/j.cam.2017.09.010

0 references

cites work

Finite-difference solutions of a non-linear Schrödinger equation

0 references

Uniform error estimates of finite difference methods for the nonlinear Schrödinger equation with wave operator

0 references

On convergence and stability of a numerical scheme of coupled nonlinear Schrödinger equations

0 references

On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations

0 references

Optimal H<sup>1</sup> Estimates for two Time-discrete Galerkin Approximations of a Nonlinear Schrödinger Equation

0 references

On the convergence of a linear two-step finite element method for the nonlinear Schrödinger equation

0 references

On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation

0 references

Analysis of finite element method for one-dimensional time-dependent Schrödinger equation on unbounded domain

0 references

Solution of the Schrödinger equation by a spectral method

0 references

Q4729251

0 references

Convergence Analysis of a Finite Element Projection/Lagrange--Galerkin Method for the Incompressible Navier--Stokes Equations

0 references

Linearly implicit finite element methods for the time-dependent Joule heating problem

0 references

The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data

0 references

Stabilized finite element method based on the Crank--Nicolson extrapolation scheme for the time-dependent Navier--Stokes equations

0 references

Error Estimates of Splitting Galerkin Methods for Heat and Sweat Transport in Textile Materials

0 references

Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials

0 references

Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations

0 references

Unconditional convergence and optimal error estimates of a Galerkin-mixed FEM for incompressible miscible flow in porous media

0 references

Linearized FE Approximations to a Nonlinear Gradient Flow

0 references

Optimal error analysis of Crank-Nicolson schemes for a coupled nonlinear Schrödinger system in 3D

0 references

A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation

0 references

Unconditional convergence and optimal error estimates of the Euler semi-implicit scheme for a generalized nonlinear Schrödinger equation

0 references

Optimal Error Estimates of Linearized Crank-Nicolson Galerkin FEMs for the Time-Dependent Ginzburg--Landau Equations in Superconductivity

0 references

Unconditionally Optimal Error Estimates of a Crank--Nicolson Galerkin Method for the Nonlinear Thermistor Equations

0 references

Q3525855

0 references

Q4002473

0 references

On a Higher Order Accurate Fully Discrete Galerkin Approximation to the Navier-Stokes Equations

0 references

Efficient and long-time accurate second-order methods for the Stokes-Darcy system

0 references

Simple and efficient ALE methods with provable temporal accuracy up to fifth order for the Stokes equations on time varying domains

0 references

Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations

0 references

A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier-Stokes equations

0 references

Identifiers

zbMATH Open document ID

1377.65117

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

10.1016/J.CAM.2017.09.010

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:1678108