Convergence analysis of nonconforming quadrilateral finite element methods for nonlinear coupled Schrödinger-Helmholtz equations

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Anisotropic nonconforming \(EQ_1^{rot}\) quadrilateral finite element approximation to second-order elliptic problems
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
On the computation of ground state and dynamics of Schrödinger-Poisson-Slater system
Accuracy analysis for Quasi-Carey element
Spectral method for solving the system of equations of Schrödinger- Klein-Gordon field
The Schrödinger-Poisson-\(X\alpha\) equation
Unconditional and optimal \(H^2\)-error estimates of two linear and conservative finite difference schemes for the Klein-Gordon-Schrödinger equation in high dimensions
Unconditional stability and convergence of Crank-Nicolson Galerkin FEMs for a nonlinear Schrödinger-Helmholtz system
Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension
Local discontinuous Galerkin methods for nonlinear Schrödinger equations
Optimal error estimate of a linear Fourier pseudo-spectral scheme for two dimensional Klein-Gordon-Schrödinger equations
Point-wise errors of two conservative difference schemes for the Klein-Gordon-Schrödinger equation
Multisymplectic Fourier pseudo-spectral integrators for Klein-Gordon-Schrödinger equations
Superconvergence analysis of BDF-Galerkin FEM for nonlinear Schrödinger equation
Nonconforming finite element method for a generalized nonlinear Schrödinger equation
Structure-preserving algorithms for the two-dimensional fractional Klein-Gordon-Schrödinger equation
Superconvergence analysis of two-grid methods for bacteria equations
Convergence of an energy-conserving scheme for nonlinear space fractional Schrödinger equations with wave operator
A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation
Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation
Superconvergence analysis of anisotropic linear triangular finite element for nonlinear Schrödinger equation
Unconditional superconvergence analysis of a Crank-Nicolson Galerkin FEM for nonlinear Schrödinger equation
A linearized energy-conservative finite element method for the nonlinear Schrödinger equation with wave operator
Effective one particle quantum dynamics of electrons: a numerical study of the Schrödinger-Poisson-X\(_\alpha\) model
A high-order exponential integrator for nonlinear parabolic equations with nonsmooth initial data
Unconditional optimal error estimates of linearized backward Euler Galerkin FEMs for nonlinear Schrödinger-Helmholtz equations
Unconditional error estimates of linearized BDF2-Galerkin FEMs for nonlinear coupled Schrödinger-Helmholtz equations
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
Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator
A modified numerical scheme for the cubic Schrödinger equation
Error Estimate of Fourth-Order Compact Scheme for Linear Schrödinger Equations
Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations
Energy Solution to a Schrödinger–Poisson System in the Two-Dimensional Whole Space
Nonlinear Schrödinger–Helmholtz equation as numerical regularization of the nonlinear Schrödinger equation
Well posedness and smoothing effect of Schrödinger-Poisson equation
Simple nonconforming quadrilateral Stokes element
A space-time finite element method for the nonlinear Schrödinger equation: the discontinuous Galerkin method
The P₁^mod Element: A New Nonconforming Finite Element for Convection-Diffusion Problems
Superconvergence analysis of Crank‐Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation
Exponential Integrators for Stochastic Schrödinger Equations Driven by Itô Noise
A numerical study of the Schr dinger Newton equations
High-order Mass- and Energy-conserving SAV-Gauss Collocation Finite Element Methods for the Nonlinear Schrödinger Equation
Dynamics of Rotating Bose--Einstein Condensates and its Efficient and Accurate Numerical Computation
Unconditionally Optimal Error Estimates of a Crank--Nicolson Galerkin Method for the Nonlinear Thermistor Equations

This page was built for publication: Convergence analysis of nonconforming quadrilateral finite element methods for nonlinear coupled Schrödinger-Helmholtz equations