Analysis of finite element two-grid algorithms for two-dimensional nonlinear Schrödinger equation with wave operator
DOI10.1016/j.cam.2021.113647zbMath1476.65241OpenAlexW3161882528MaRDI QIDQ2033084
Publication date: 14 June 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2021.113647
convergencefinite element methodtwo-grid algorithmconservativeSchrödinger equation with wave operator
Numerical computation of solutions to systems of equations (65H10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
- Uniform point-wise error estimates of semi-implicit compact finite difference methods for the nonlinear Schrödinger equation perturbed by wave operator
- Maximum norm error bound of a linearized difference scheme for a coupled nonlinear Schrödinger equations
- A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients
- Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations
- The use of compact boundary value method for the solution of two-dimensional Schrödinger equation
- On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation
- A conservative numerical scheme for a class of nonlinear Schrödinger equation with wave operator.
- Two-grid method for two-dimensional nonlinear Schrödinger equation by mixed finite element method
- Two-grid method for compressible miscible displacement problem by CFEM-MFEM
- Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme
- Alternating direction implicit method for solving two-dimensional cubic nonlinear Schrödinger equation
- Two-grid method for miscible displacement problem by mixed finite element methods and finite element method of characteristics
- A compact finite difference scheme for the nonlinear Schrödinger equation with wave operator
- Superconvergence analysis of a two grid finite element method for Ginzburg-Landau equation
- Uniformly superconvergent analysis of an efficient two-grid method for nonlinear bi-wave singular perturbation problem
- Numerical solution of a miscible displacement problem with dispersion term using a two-grid mixed finite element approach
- Two-grid discretization schemes for nonlinear Schrödinger equations
- Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations
- A conservative difference scheme for two-dimensional nonlinear Schrödinger equation with wave operator
- Two-grid mixed finite-element methods for nonlinear Schrödinger equations
- A Two-Grid Finite-Element Method for the Nonlinear Schrödinger Equation
- Analysis of two-grid methods for reaction-diffusion equations by expanded mixed finite element methods
- A Novel Two-Grid Method for Semilinear Elliptic Equations
- A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations
- A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations
- Two‐grid method for two‐dimensional nonlinear Schrödinger equation by finite element method
- Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
- 二维非线性Schr\"{o}dinger方程显式格式的最大模误差分析
- Two-Grid Method for Miscible Displacement Problem by Mixed Finite Element Methods and Mixed Finite Element Method of Characteristics
- Two-Grid Discretization Scheme for Nonlinear Reaction Diffusion Equation by Mixed Finite Element Methods
