Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation (Q2311785)

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English	Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation	scientific article

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scholarly article

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title

Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation (English)

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Applied Numerical Mathematics

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publication date

4 July 2019

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zbMATH Keywords

KGSE

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linearized Galerkin FEM

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conservation

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unconditional superconvergence results

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Ritz projection and interpolation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.apnum.2019.02.004

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cites work

Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations

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Optimal error analysis of Galerkin FEMs for nonlinear Joule heating equations

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Unconditional optimal error estimates of BDF-Galerkin FEMs for nonlinear thermistor equations

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Numerical long-time energy conservation for the nonlinear Schrödinger equation

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A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation

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Global existence and asymptotic behavior of solutions for the coupled Klein-Gordon-Schrödinger equations

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

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Optimal error estimate of a linear Fourier pseudo-spectral scheme for two dimensional Klein-Gordon-Schrödinger equations

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Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media

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Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation

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Unconditionally optimal error analysis of Crank-Nicolson Galerkin FEMs for a strongly nonlinear parabolic system

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A fast energy conserving finite element method for the nonlinear fractional Schrödinger equation with wave operator

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

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Galerkin finite element method for nonlinear fractional Schrödinger equations

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A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations

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Unconditional error analysis of Galerkin FEMs for nonlinear fractional Schrödinger equation

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A relaxation-type Galerkin FEM for nonlinear fractional Schrödinger equations

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The Analysis of a Finite Element Method with Streamline Diffusion for the Compressible Navier--Stokes Equations

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A Galerkin Method for Nonlinear Parabolic Equations with Nonlinear Boundary Conditions

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Stability of stationary states for the coupled Klein — Gordon — Schrödinger equations

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Two-Level Discrete-Time Galerkin Approximations for Second Order Nonlinear Parabolic Partial Differential Equations

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Unconditional superconvergence analysis of a Crank-Nicolson Galerkin FEM for nonlinear Schrödinger equation

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Q3462694

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Unconditional superconvergence analysis of a new mixed finite element method for nonlinear Sobolev equation

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Unconditional superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{rot}\) nonconforming finite element

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Superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{\mathrm{rot}}\) nonconforming finite element

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Unconditional superconvergence analysis of an <i>H</i><sup>1</sup>‐galerkin mixed finite element method for nonlinear Sobolev equations

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Unconditionally Superclose Analysis of a New Mixed Finite Element Method for Nonlinear Parabolic Equation

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Unconditional stability and error estimates of modified characteristics FEMs for the Navier-Stokes equations

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Galerkin Finite Element Methods for Parabolic Problems

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Optimal point-wise error estimate of a compact difference scheme for the Klein-Gordon-Schrödinger equation

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

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A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrödinger equations

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The periodic wave solutions for the Klein-Gordon-Schrödinger equations

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A New Error Analysis of Characteristics-Mixed FEMs for Miscible Displacement in Porous Media

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Unconditional and optimal \(H^2\)-error estimates of two linear and conservative finite difference schemes for the Klein-Gordon-Schrödinger equation in high dimensions

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Spectral method for solving the system of equations of Schrödinger- Klein-Gordon field

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A new local energy-preserving algorithm for the BBM equation

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New energy-preserving schemes for Klein-Gordon-Schrödinger equations

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Identifiers

zbMATH Open document ID

1477.65160

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DOI

10.1016/j.apnum.2019.02.004

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2311785