Lp error estimate of nonlinear Schrödinger equation using a two‐grid finite element method (Q6066563)

scientific article; zbMATH DE number 7777338

Language	Label	Description	Also known as
English	<i>L</i><sup><i>p</i></sup> error estimate of nonlinear Schrödinger equation using a two‐grid finite element method	scientific article; zbMATH DE number 7777338

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scholarly article

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title

Lp error estimate of nonlinear Schrödinger equation using a two‐grid finite element method (English)

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author

Hanzhang Hu

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published in

Numerical Methods for Partial Differential Equations

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publication date

13 December 2023

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zbMATH Keywords

conservative

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convergence

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finite element method

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Schrödinger equation

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two-grid method

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/num.22991

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cites work

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Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions

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Two‐grid method for two‐dimensional nonlinear Schrödinger equation by finite element method

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Two-grid method for two-dimensional nonlinear Schrödinger equation by mixed finite element method

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Optimal convergence of the Newton iterative Crank-Nicolson finite element method for the nonlinear Schrödinger equation

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Unconditional stability and convergence of Crank-Nicolson Galerkin FEMs for a nonlinear Schrödinger-Helmholtz system

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Q3004644

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Two-grid mixed finite-element methods for nonlinear Schrödinger equations

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Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme

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Methods for the Numerical Solution of the Nonlinear Schroedinger Equation

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A Novel Two-Grid Method for Semilinear Elliptic Equations

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Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>

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Two-Grid Discretization Scheme for Nonlinear Reaction Diffusion Equation by Mixed Finite Element Methods

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A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations

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Analysis of two-grid methods for reaction-diffusion equations by expanded mixed finite element methods

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A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations

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Two-Grid Method for Miscible Displacement Problem by Mixed Finite Element Methods and Mixed Finite Element Method of Characteristics

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Two-grid method for miscible displacement problem by mixed finite element methods and finite element method of characteristics

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Numerical solution of a miscible displacement problem with dispersion term using a two-grid mixed finite element approach

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Two-grid method for compressible miscible displacement problem by CFEM-MFEM

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Two-grid method for the two-dimensional time-dependent Schrödinger equation by the finite element method

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Numerical solution of two-dimensional nonlinear Schrödinger equation using a new two-grid finite element method

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Analysis of finite element two-grid algorithms for two-dimensional nonlinear Schrödinger equation with wave operator

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Two-Grid Finite-Element Method for the Two-Dimensional Time-Dependent Schrödinger Equation

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Mathematics(1 entry)

mardi Publication:6066563

<i>L</i><sup><i>p</i></sup> error estimate of nonlinear Schrödinger equation using a two‐grid finite element method (Q6066563)

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Mathematics(1 entry)