Conservative EQ1rot nonconforming FEM for nonlinear Schrödinger equation with wave operator (Q6147895)

scientific article; zbMATH DE number 7798409

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English	Conservative EQ1rot nonconforming FEM for nonlinear Schrödinger equation with wave operator	scientific article; zbMATH DE number 7798409

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instance of

scholarly article

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title

Conservative EQ1rot nonconforming FEM for nonlinear Schrödinger equation with wave operator (English)

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Numerical Methods for Partial Differential Equations

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publication date

1 February 2024

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zbMATH Keywords

error splitting

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leap-frog finite element methods

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logarithmic Schrödinger equation with wave operator

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mass and energy conservation

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nonlinear Schrödinger equation with wave operator

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superconvergence

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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.23057

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cites work

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Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse

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Error Estimates of a Regularized Finite Difference Method for the Logarithmic Schrödinger Equation

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Regularized numerical methods for the logarithmic Schrödinger equation

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A singular perturbation problem for an envelope equation in plasma physics

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A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator

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Error Estimates of Splitting Galerkin Methods for Heat and Sweat Transport in Textile Materials

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Nonconforming finite element approximation of crystalline microstructure

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

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Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-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 superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation

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Unconditional superconvergence analysis of a linearized Crank-Nicolson Galerkin FEM for generalized Ginzburg-Landau equation

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

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Nonrelativistic approximation of nonlinear Klein-Gordon equations in two space dimensions

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Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme

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Mathematics(1 entry)

mardi Publication:6147895