A linearized conservative nonconforming FEM for nonlinear Klein-Gordon-Schrödinger equations
DOI10.1016/j.camwa.2021.12.006OpenAlexW4200014372MaRDI QIDQ2074129
Publication date: 4 February 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.12.006
conservationKlein-Gordon-Schrödinger (KGS) equationslinearized nonconforming FEMunconditional superconvergence
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation
- Optimal error analysis of Crank-Nicolson schemes for a coupled nonlinear Schrödinger system in 3D
- Unconditional superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{rot}\) nonconforming finite element
- A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein-Gordon-Schrödinger equations in the nonrelativistic limit regime, A UA method for Klein-Gordon-schrodinger equation
- Unconditional superconvergence analysis of a new mixed finite element method for nonlinear Sobolev equation
- Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations
- Spectral method for solving the system of equations of Schrödinger- Klein-Gordon field
- On the global strong solutions of coupled Klein-Gordon-Schrödinger equations
- Finite element methods (Part 1)
- On coupled Klein-Gordon-Schrödinger equations. II
- The periodic wave solutions for the Klein-Gordon-Schrödinger equations
- Global existence and uniform decay for the coupled Klein-Gordon-Schrödinger equations
- Unconditional and optimal \(H^2\)-error estimates of two linear and conservative finite difference schemes for the Klein-Gordon-Schrödinger equation in high dimensions
- Unconditionally optimal error analysis of Crank-Nicolson Galerkin FEMs for a strongly nonlinear parabolic system
- Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear hyperbolic equations
- Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension
- Point-wise errors of two conservative difference schemes for the Klein-Gordon-Schrödinger equation
- A new two-grid nonconforming mixed finite element method for nonlinear Benjamin-Bona-Mahoney equation
- Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation
- Unconditional convergence and optimal error estimates of the Euler semi-implicit scheme for a generalized nonlinear Schrödinger equation
- A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrödinger equations
- Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations
- Unconditional superconvergence analysis of a Crank-Nicolson Galerkin FEM for nonlinear Schrödinger equation
- The streamline-diffusion method for nonconforming Qrot1 elements on rectangular tensor-product meshes
- Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media
- Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations
- Singular Limits of Klein–Gordon–Schrödinger Equations to Schrödinger–Yukawa Equations
- Periodic solitary waves for two coupled nonlinear Klein–Gordon and Schr dinger equations
- Superconvergence analysis of Crank‐Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation
- Unconditional superconvergence analysis of an H1‐galerkin mixed finite element method for nonlinear Sobolev equations
- Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation
- Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
- Superconvergence Analysis for Time-Fractional Diffusion Equations with Nonconforming Mixed Finite Element Method
- Unconditionally Optimal Error Estimates of a Crank--Nicolson Galerkin Method for the Nonlinear Thermistor Equations
This page was built for publication: A linearized conservative nonconforming FEM for nonlinear Klein-Gordon-Schrödinger equations